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1 mal clique finding problem in a multipartite graph.
2 function heatmap and a BC similarity network graph.
3 topology was also demonstrated in the binary graph.
4 ces rely on in-memory representation of this graph.
5 ng local mixing properties of the underlying graph.
6 l architecture when applied to the atom-rule graph.
7 n in complexes and sets, is addressed with a graph.
8 ks and the Kirchhoff index of the underlying graph.
9 m RNA-seq reads based on the model of splice graph.
10 d to facilitate fast mapping of reads to the graph.
11 ncreased topological integration of a binary graph.
12 eating an interactive alternative to the bar graph.
13 tion the newly generated, attribute-enhanced graph.
14 VO2) to efficiently solve vertex coloring of graphs.
15 ty of biological data onto molecular pathway graphs.
16 for feature learning on biological knowledge graphs.
17 ng in networks that are often represented by graphs.
18 ode for related information within knowledge graphs.
19 amples graph topologies to produce candidate graphs.
20 xplanation based on evolutionary dynamics on graphs.
21 e implicit encoding of discrete, non-spatial graphs.
22 works belong to a family of planar proximity graphs.
23 -read error-correction methods use de Bruijn Graphs.
24 be guided using tools such as direct acyclic graphs.
25 ndividual data points may be overlaid on the graphs.
26  spacetimes are as good as random hyperbolic graphs.
27 ulation structures represented as undirected graphs.
28 Comet and Comet-swarm families of undirected graphs.
29 udy looks at directed and hence more general graphs.
30 l systems to approximate optimal coloring of graphs.
31 he subsequent comparison of the structure of graphs.
32 qbal et al. introduced the colored de Bruijn graph, a variant of the classic de Bruijn graph, which i
33 roblem (the removal of vertices, leaving the graph acyclic).
34 epresentation of proteoforms and design mass graph alignment algorithms.
35                Using the Google Trend 5-year graph, an annual and clear seasonality of queries was fo
36                                              Graph analyses revealed a shift of the regional architec
37 sor imaging tractography, and analysed using graph analysis and network-based statistics to explore b
38 mplified by a single primer pair, a directed graph analysis method is used to identify minimum amplic
39  network topology was characterized by three graph analysis methods including the commonly-used weigh
40                     Our integrated knowledge graph, analytic tools, and web services enable diverse u
41 other specific protein within a KEGG pathway graph and (iii) propose a method for interpreting the cl
42 inst Google's manually-constructed knowledge graph and against expert physician opinions.
43                  It then constructs a contig graph and, for each long read, references the other long
44    To alleviate this problem, we developed a graphing and analytical approach for use with more than
45                                  Traditional graphs and charts failed to convey the complex shapes of
46 the embedding for general complete bipartite graphs and logical disjunctions may be of broader use th
47             Results in both synthetic random graphs and real networks show that the proposed method c
48 rediction) represents RNA structures as tree graphs and samples graph topologies to produce candidate
49 square and triangular lattices, a disordered graph, and demonstrate the potential for size scalabilit
50 ly expensive, requires less information on a graph, and is free from nuisance parameters.
51  data distributions can lead to the same bar graph, and the actual data may suggest different conclus
52  strongest amplifier known has been the Star graph, and the existence of undirected graphs with stron
53 ent degrees, from the circle to the complete graph, and vary assumptions on the fitness probability d
54 d can be applied to any biological knowledge graph, and will thereby open up the increasing amount of
55                   We define colored-weighted graphs, and introduce different products between them to
56 ring the missing links in randomly generated graphs, and then generalize these tasks to specific grap
57 ly module parses aligned reads into splicing graphs, and uses network flow algorithms to select the m
58 sults extend beyond the grid to more general graphs, and we discuss applications to size estimation f
59 res-which we collectively refer to as genome graphs-and discuss the improvements in read mapping, var
60           The statistical properties of this graph are based on distributions gathered from three-dim
61 network measures applied to the induced flat graphs are accurate predictors of network propagation in
62       Simple models of excitable dynamics on graphs are an efficient framework for studying the inter
63 ability, and it remains unclear if de Sitter graphs are as navigable as hyperbolic ones.
64                                 Although bar graphs are designed for categorical data, they are routi
65 ing, and haplotype determination that genome graphs are expected to produce.
66                                We find these graphs are navigable only in the manifolds with dark ene
67 easure returns non-zero values only when the graphs are non-isomorphic.
68 t), a 2D lattice and a mass-action (complete graph) arrangement.
69 th more restricted assumptions map onto this graph as special cases.
70 ng number of metabarcoding studies, is often graphed as stacked bar charts or pie graphs that use col
71 e and investigate the potential of polariton graphs as an efficient analogue simulator for finding th
72 luding the commonly-used weighted and binary graph, as well as minimum spanning tree (MST).
73  repeat-resolution capabilities of de Bruijn graph assemblers.
74          Successively, horizontal visibility graphs associated with all neurons become layers of a la
75 and confidence interval for each edge in the graph, based on a recent proposal by Ren et al., 2015.
76        We propose a new approach that uses a graph-based algorithm with a two-phase sampling method t
77                           The performance of graph-based algorithms has the advantage of being faster
78 n time, but they tend to perform better than graph-based algorithms.
79       Altered coupling was explained using a graph-based analysis of experimentally established struc
80                    We used a high-resolution graph-based approach to investigate local-to-local and l
81 annot be linearly represented, Canu provides graph-based assembly outputs in graphical fragment assem
82 m different technologies through a bipartite-graph-based clustering algorithm, our approach turns a w
83  methods for fiber bundle reconstruction and graph-based connectivity analysis.
84                          Here we present our graph-based fragment assembly algorithm (F-RAG) to conve
85                     In this work, we adopt a graph-based framework to interpret and characterize inte
86  Here, we propose Gracob, a novel, efficient graph-based method that casts and solves the constant-co
87                            The method, named Graph-based Model Quality assessment method (GMQ), expli
88 ideas implicitly or explicitly borrowed from graph-based models.
89  different integration algorithms, including graph-based semi-supervised learning, graph sharpening i
90 ormation of nucleic acid properties into our graph-based signatures, considering the reverse mutation
91                   We developed TopMG, a mass graph-based software tool for proteoform identification
92 s projects underway to build and apply these graph-based structures-which we collectively refer to as
93 st and applicable in most weighted de Bruijn Graph-based systems.
94 wo common classes of integration algorithms, graph-based that depict relationships with subjects deno
95 ere clears the way to the application of the graph-based theory to single-molecule data for the descr
96 ulation level data, it is essential that the graphs be represented efficiently.
97                           Vertex coloring of graphs, belonging to the class of combinatorial optimiza
98           We first construct a Bi-relational graph (Birg) model comprised of both protein-protein ass
99 e to the global topology of a weighted brain graph, but incrementally increased topological integrati
100 des solving optimization problems, polariton graphs can simulate a large variety of systems undergoin
101 rom a community of interest in an underlying graph, can we reliably identify the rest of the communit
102                                  Chain event graphs (CEGs) are a graphical representation of a statis
103           Here, we present a proximity-based graph clustering approach to identify TF clusters using
104 ul new connections between phylogenetics and graph clustering.
105 ynamical systems and spectral algorithms for graph coloring.
106  numerous methods for representing de Bruijn Graphs compactly.
107 f-idf weighted MinHash and a sparse assembly graph construction that avoids collapsing diverged repea
108                   We constructed a knowledge graph containing four types of node: drugs, protein targ
109                               The compressed graphs convey network motifs and architectural features
110 rating that the TF-TF connections within the graph correlate with biological TF-TF interactions.
111                                  Calibration graphs could not be obtained on unpolished electrodes in
112 erebellar lobule volumes were derived from a graph-cut based segmentation algorithm.
113 features have been developed using the Neo4j graph database technology and this paper describes key f
114                    The Fragment Network is a graph database that allows a user to efficiently search
115 variants and well phenotyped patients into a graph database to allow fast efficient storage and query
116 l data which can be queried using a flexible graph database.
117 will create a comparative, multi-dimensional graph database.
118 E consists of three integrated components: a graph-distance-based heat map normalization tool, a 3D m
119 ative data structures to encode the assembly graph efficiently in a computer memory.
120  distributions of quantum walks on circulant graphs efficiently.
121 e between regions of highest importance from graph eigenmodes of network diffusion and nexus regions
122 haplotype model that operates on a variation graph-embedded population reference cohort.
123 t Monocle 2, an algorithm that uses reversed graph embedding to describe multiple fate decisions in a
124                         We employ a flexible graph encoding to preserve multiple structural hypothese
125             Using the Electrical Penetration Graph (EPG) technique, we found that mycorrhizal colonis
126                     Persistent homology with graph filtration on alpha-gamma correlation disclosed to
127                                          Our graph filtration over MEG network revealed these inter-r
128     We demonstrate that it can construct the graph for 100 simulated human genomes in less than a day
129 ic Web technologies and the use of knowledge graphs for data integration, retrieval and federated que
130  solution of simply plotting two-dimensional graphs for every combination of observables becomes impr
131 ropose a new data structure, called the mass graph, for efficient representation of proteoforms and d
132 er than the fixation probability of the Star graph, for fixed population size and at the limit of lar
133                                     Weighted graph found significantly decreased path length together
134 rect construction of the compacted de Bruijn graph from a set of complete genomes.
135 xes we learn a sparse conditional dependency graph from approximately 3,000 CF-MS experiments on huma
136 onstruction of high quality health knowledge graphs from medical records using rudimentary concept ex
137                                 In addition, graph-GPA also promotes better understanding of genetic
138 f GWAS datasets for 12 phenotypes shows that graph-GPA improves statistical power to identify risk va
139                               Application of graph-GPA to a joint analysis of GWAS datasets for 12 ph
140 r, we propose a novel statistical framework, graph-GPA, to integrate a large number of GWAS datasets
141                                          The graph-guided methods overcome this drawback by using the
142 tomic embedding of the edges of the cerebral graph have been postulated to elucidate the relative imp
143                                    de Bruijn graphs have been proposed as a data structure to facilit
144 es of the mutants, the Comet and Comet-swarm graphs have fixation probability strictly larger than th
145 ompactly representing the weighted de Bruijn Graph (i.e. with abundance information) with essentially
146                            The visualization graphs illustrate discriminated biobricks and inappropri
147  the optimum condition, a linear calibration graph in the range of 4.00-100.00mgL(-1) was obtained wi
148 , in terms of navigability, random geometric graphs in asymptotically de Sitter spacetimes are as goo
149            In that respect, random geometric graphs in asymptotically de Sitter spacetimes, such as t
150                             Random geometric graphs in hyperbolic spaces explain many common structur
151 widespread use of sparse residue interaction graphs in protein design, the above mentioned effects of
152 e study the navigability of random geometric graphs in three Lorentzian manifolds corresponding to un
153 se our related RAG-3D utilities to partition graphs into subgraphs and search for structurally simila
154                                  A variation graph is a mathematical structure that can encode arbitr
155 es faster than Isomap, and its visualization graph is more concentrated to discriminate biobricks.
156 0 amino acids (proteins), and the mutational graph is not the hypercube.
157 ifying and quantifying dissimilarities among graphs is a fundamental and challenging problem of pract
158 Yet another important property of hyperbolic graphs is their navigability, and it remains unclear if
159 anning branching structures in the de Bruijn graph) is used to facilitate fast mapping of reads to th
160 g, and designing RNA structures, RAG (RNA-As-Graphs), is presented, with the goal of understanding fe
161  by a tree but is instead a directed acyclic graph known as a phylogenetic network.
162 a composite measure of grey matter volume by graph-Laplacian principal component analysis, and then f
163 obial Prior Lasso (MPLasso) which integrates graph learning algorithm with microbial co-occurrences a
164 as used to automatically construct knowledge graphs: logistic regression, naive Bayes classifier and
165  modern life depend upon colour coding (e.g. graphs, maps, signals), the impact of colour blindness o
166        Here, we present Methyl Assignment by Graph Matching (MAGMA), for the automatic assignment of
167                                            A graph matching protocol examines all possibilities for e
168  employing steerable filtering and iterative graph matching to characterize the fibers embedded in th
169                               Using a simple graph metric, global network changes are observed over t
170 ations of 27 published models using standard graph metrics.
171 tween groups and also compared the groups on graph metrics.
172 n of the new compounds had cytotoxicity mean-graph midpoint (MGM) GI50 values in the submicromolar (0
173 e correlation Generalized Exponential Random Graph Model (cGERGM) - a statistical network model that
174 ank to diffuse information on this two-layer graph model.
175                                         Five graph models were fit using data from 1574 people who in
176 onvert candidate three-dimensional (3D) tree graph models, produced by RAGTOP into atomic structures.
177                                   Simulating graph models, we identify a heuristic cellular division
178 ix and to decompose correlations in terms of graph motifs.
179 simple invariant that all weighted de Bruijn Graphs must satisfy, and hence is likely to be of genera
180            Vessel images were transformed to graph networks and segmented to branches to reduce the c
181                                     Weighted graph networks were then converted to circuits, in which
182  Many de novo assemblers using the de Bruijn graph of a set of the RNA sequences rely on in-memory re
183                                            A graph of disease-symptom relationships was elicited from
184 ovides an interactive and integrated network graph of gene and iTerms that allows filtering, sorting,
185 lex systems can be predicted solely from the graph of interactions between variables, without conside
186 s approach adds the k Nearest Neighbor (kNN) graph of node attributes to alleviate the sparsity and t
187 y building a representation of the de Bruijn Graph of the reads they are given as input.
188 ing fMRI data, where networks are defined as graphs of interacting brain areas.
189 or binding sites enriched in superenhancers, graphs of the metrics evaluating the superenhancers qual
190 based on the Prize-collecting Steiner Forest graph optimization approach.
191 ution for weak selection that applies to any graph or network.
192 g groups and the OSATS or OSANTS scores were graphed per group to determine the performance standard.
193                 Our embedding on the Chimera graph preserves the structure of the original SCP instan
194 ment assembly algorithm, leveraging assembly graphs provided by a conventional de novo assembler and
195 ackage for easily parsing, manipulating, and graphing publication-ready plots of hierarchical data.
196                      In the case of complete graphs, randomness accelerates mutant fixation for all p
197 opulation sizes, and in the case of circular graphs, randomness delays mutant fixation for N larger t
198 y OR model produces a high quality knowledge graph reaching precision of 0.85 for a recall of 0.6 in
199 e found that using different edge weights in graphs reflecting different secondary structures further
200                      Ancestral recombination graphs represent potential histories that explicitly acc
201 18-28% compared to the approximate de Bruijn graph representation in Squeakr.
202 ty of spatially neighboring residues using a graph representation of a query protein structure model.
203    Unfortunately, current succinct de Bruijn graph representations are not directly applicable to the
204 tocol to construct and sample coarse-grained graph representations of RNAs from a given secondary str
205  to the prediction of edges in the knowledge graph representing problems of function prediction, find
206       Because of the centrality of de Bruijn Graphs, researchers have proposed numerous methods for r
207 ials to our RAGTOP (RNA-As-Graph-Topologies) graph sampling protocol to construct and sample coarse-g
208                                   We present graph-sampling results for 35 RNAs, including 12 k-turn
209 luding graph-based semi-supervised learning, graph sharpening integration, composite association netw
210                            We then apply our graph structure beyond clustering, using it to increase
211                                          Our graph structure is able to significantly increase the ac
212  higher sensitivity and specificity when the graph structure is correctly specified, and are fairly r
213 archical classification setting, (i) use the graph structure of KEGG pathways to create a feature typ
214 ization frameworks but utilize the same data graph structure, which allows a highly efficient, expand
215 ture learning methods that are applicable to graph-structured data are becoming available, but have n
216 ified, and are fairly robust to misspecified graph structures.
217  and then generalize these tasks to specific graphs such as transport networks and family trees.
218 dy how small changes in population structure-graph surgery-affect evolutionary outcomes.
219 esults suggest the potential of the spectral graph techniques in characterizing and modeling river ne
220 ently displays each rule, (ii) the atom-rule graph that conveys regulatory interactions in the model
221 GE outputs a visually interpretable assembly graph that encodes all possible finished assemblies cons
222 s often graphed as stacked bar charts or pie graphs that use color to represent taxa.
223                  In the regime of undirected graphs, the strongest amplifier known has been the Star
224 e to address network-level questions using a graph theoretic analysis of functional connectivity data
225                          Here we construct a graph-theoretic algebra (a subset of Temperley-Lieb alge
226                                By performing graph-theoretic analyses on thalamocortical functional c
227                                 Edge-centric graph-theoretic analysis showed that highly selected whi
228 f the sRNA-target networks in bacteria using graph-theoretic approaches and review the local integrat
229 eakly correlated) materials, consisting of a graph-theoretic description of momentum (reciprocal) spa
230                      In this work, through a graph-theoretic formulation of drainage river networks,
231  from environmental conditions is difficult, graph-theoretic properties of the mutational networks en
232                      Whole-brain data-driven graph theoretical analysis disclosed that striatal regio
233 ng a neural community detection strategy and graph theoretical analysis of functional MRI data in hum
234     Herein we examined network changes using graph theoretical analysis of high-density EEG during pa
235                                              Graph theoretical analysis of the community structure of
236                                   We applied graph theoretical analysis to task-related fMRI function
237  (r = -0.51, p = -0.002) were shown, through graph theoretical analysis, to be significantly negative
238 twork architecture and global topology using graph theoretical analysis.
239 tworks were reconstructed and examined using graph theoretical analysis.
240 d two model-based measures: 'integration', a graph theoretical measure obtained from functional conne
241 more, we demonstrate that extremal values of graph theoretical measures (e.g., degree and betweenness
242                                      METHOD: Graph theoretical methods were used to examine global an
243 sights into fundamental network alterations, graph theoretical models of brain networks were derived.
244 al changes in connectivity, we show that our graph-theoretical approach based on centrality (eigenvec
245                Network meta-analysis using a graph-theoretical approach was used to generate the indi
246 yzed with network-based statistics (NBS) and graph-theoretical methods.
247                                              Graph theory analysis showed that increased local effici
248                                              Graph theory analysis was applied to derive functional n
249 ning marine reserve networks that integrates graph theory and changes in larval connectivity due to p
250 process requires modeling of the brain using graph theory and the subsequent comparison of the struct
251 n the representation of connectomes by using graph theory formalisms.
252                        First, we introduce a graph theory model for river networks and explore the pr
253                                Here, we used graph theory to compare flexibility of network-level top
254      The current study applies concepts from graph theory to investigate the differences in lagged ph
255 agnetic resonance imaging data and performed graph theory to obtain network metrics of integration wi
256 tional connectivity of the left IFG and used graph theory to study its local functional network topol
257  connect concepts from lattice field theory, graph theory, and transition rate theory to understand h
258                                        Using graph theory, we visualize and quantify spectral connect
259  In this study, we applied two complementary graph theory-based functional connectivity analyses, one
260 tivity strength, a whole-brain, data-driven, graph theory-based method, was applied to resting-state
261        This technique employs a local-search graph-theory approach to discover novel motifs in patien
262 nce methods (in particular, directed acyclic graphs), they describe different threats to the validity
263                  For a large class of random graphs, this problem is tightly connected to the decycli
264   Most assembly pipelines require this large graph to reside in memory to start their workflows, whic
265 umulating Evidence and Research Organization graphing to depict the portfolio of research activities
266       In this paper, we use directed acyclic graphs to characterize potential biases in studies of in
267 cy of GMQ was improved by considering larger graphs to include quality information of more surroundin
268 ssign read counts from the nodes of splicing graphs to transcripts.
269 ts RNA structures as tree graphs and samples graph topologies to produce candidate graphs.
270 ese scoring potentials to our RAGTOP (RNA-As-Graph-Topologies) graph sampling protocol to construct a
271 structure prediction protocol RAGTOP (RNA-As-Graphs Topology Prediction) represents RNA structures as
272 rk consisting of outrigger, a de novo splice graph transversal algorithm to detect AS; anchor, a Baye
273                                        These graph types do not convey the hierarchical structure of
274 otation score optimization, and (vi) network graph visualizations, data curation, and sharing are mad
275         The dynamic range of the calibration graph was 0.03-0.50mumolL(-1) CoQ10, and the detection l
276 nder the optimum conditions, the calibration graph was found to be LOQ-250microgL(-1) (r(2)=0.9987) f
277 er the optimized conditions, the calibration graph was linear in the range of 0.017-3.0mugL(-1), with
278                              The calibration graph was linear in the range of 0.02-2.50microgL(-1), w
279 er the optimized conditions, the calibration graph was linear in the range of 0.3-300mugL(-1) (R(2)=9
280 g geodesics with minimum distance paths on a graph, we analyze the distribution of pairwise distances
281                                   Using this graph, we developed a machine learning algorithm based o
282 of designing with sparse residue interaction graphs, we computed the GMECs for 136 different protein
283 ned parameters and the constructed knowledge graphs were evaluated and validated, with permission, ag
284                             Directed acyclic graphs were used to identify potential confounders, and
285 and proteins can be identified when assembly graphs were utilized, improving the characterization of
286 hinges" to reads for constructing an overlap graph where only unresolvable repeats are merged.
287 presented using a sparse residue interaction graph, where the number of interacting residue pairs is
288 jn graph, a variant of the classic de Bruijn graph, which is aimed at 'detecting and genotyping simpl
289 directly applicable to the colored de Bruijn graph, which requires additional information to be succi
290 ve fugacity on the Hamiltonian's interaction graph, which, as a statistical mechanics problem, is of
291 Markov Clustering Algorithm to partition the graph while maintaining TF-cluster and cluster-cluster i
292 p the benefits of sparse residue interaction graphs while avoiding their potential inaccuracies.
293 larities is provided by means of a bipartite graph, whose layout is heuristically optimized.
294 ron activations with a horizontal visibility graph, whose topological properties have been shown to b
295 tions are based on Boolean networks-directed graphs with 0/1 node states and logical node update rule
296 udy spatial arrangements of cells on regular graphs with different degrees, from the circle to the co
297 combination of such highly resolved assembly graphs with long-range scaffolding information promises
298 el way to combine sparse residue interaction graphs with provable, ensemble-based algorithms to reap
299  Star graph, and the existence of undirected graphs with stronger amplification properties has remain
300 model the cytoskeleton as a random geometric graph, with nodes corresponding to junctional complexes
301 uired to store and use the colored de Bruijn graph, with some penalty to runtime, allowing it to be a

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