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IEEE Transactions on Pattern Analysis and Machine Intelligence, ISSN 0162-8828, 09/2016, Volume 38, Issue 9, pp. 1774 - 1789
Journal Article
Annals of mathematics, ISSN 0003-486X, 2006, Volume 164, Issue 1, pp. 51 - 229
A graph G is perfect if for every induced subgraph H, the chromatic number of H equals the size of the largest complete subgraph of H, and G is Berge if no induced subgraph of G is an odd cycle... 
Line graphs | Maximality | Staircases | Induced subgraphs | Planar graphs | Graph theory | Counterexamples | Graphical subdivisions | Vertices | Odd numbers | MATHEMATICS | DECOMPOSITION | PROPERTY | MINIMAL IMPERFECT GRAPHS
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 2018, Volume 243, pp. 239 - 247
In this work we investigate the chordality of squares and line graph squares of graphs... 
Chordal graph | Graph square | Line graph | MATHEMATICS, APPLIED | POWERS
Journal Article
IEEE Transactions on Visualization and Computer Graphics, ISSN 1077-2626, 07/2008, Volume 14, Issue 4, pp. 727 - 740
Journal Article
Information Systems, ISSN 0306-4379, 07/2018, Volume 76, pp. 19 - 45
•We present a linear time graph compression algorithm.•The algorithm produces straight-line graph grammars... 
Graph compression | Straight-line context-free hyperedge replacement grammar | AUTOMATA | TREES | SUCCINCT REPRESENTATIONS | WEB GRAPHS | ALGORITHM | COMPUTER SCIENCE, INFORMATION SYSTEMS | Grammar, Comparative and general | Algorithms
Journal Article
Journal Article
Information Processing Letters, ISSN 0020-0190, 03/2020, Volume 155, p. 105862
Given a set of finite words, the Overlap Graph (OG) is a complete weighted digraph where each word is a node and where the weight of an arc equals the length of the longest overlap of one word onto... 
Data structures | Superstring | Aho-Corasik | Assembly | On-line algorithms | LINEAR-TIME ALGORITHM | CONSTRUCTION | COMPUTER SCIENCE, INFORMATION SYSTEMS | EFFICIENT | Bioinformatics | Data Structures and Algorithms | Computer Science
Journal Article
Proceedings of the National Academy of Sciences - PNAS, ISSN 1091-6490, 2008, Volume 105, Issue 13, pp. 4972 - 4975
Journal Article
IEEE Transactions on Automatic Control, ISSN 0018-9286, 01/2010, Volume 55, Issue 1, pp. 225 - 230
Journal Article
Journal of Graph Theory, ISSN 0364-9024, 04/2017, Volume 84, Issue 4, pp. 536 - 551
Equistable graphs are graphs admitting positive weights on vertices such that a subset of vertices is a maximal stable set if and only if it is of total weight 1... 
05C76 | conjecture | 05C22 | 05C50 | 05C69 | equistable graph; strongly equistable graph; general partition graph; line graph; graph complement | MATHEMATICS | strongly equistable graph | graph complement | general partition graph | PARTITION GRAPHS | line graph | equistable graph | Computer Science | Discrete Mathematics
Journal Article
Filomat, ISSN 0354-5180, 2012, Volume 26, Issue 1, pp. 177 - 196
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 2007, Volume 423, Issue 1, pp. 155 - 171
We survey properties of spectra of signless Laplacians of graphs and discuss possibilities for developing a spectral theory of graphs based on this matrix... 
Star complement | Graph spectra | Signless Laplacian | Graph theory | Line graph | MATHEMATICS, APPLIED | graph theory | star complement | SPECTRUM | line graph | graph spectra
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 01/2017, Volume 216, pp. 47 - 66
We consider several graphs classes defined in terms of conditions on cliques and stable sets, including CIS, split, equistable, and other related classes... 
Triangle condition | Equistable graph | CIS graph | General partition graph | Upper bound graph | Normal graph | Split graph | Clique | Stable set | Edge simplicial graph | PERFECT GRAPHS | MATHEMATICS, APPLIED | ALGORITHMS | CLIQUES | COMPLEXITY | SETS | PARTITION GRAPHS | LINE-GRAPHS
Journal Article
Journal of the American Mathematical Society, ISSN 0894-0347, 10/2018, Volume 31, Issue 4, pp. 893 - 919
.... We give a positive answer when \Gamma is the fundamental group of a graph of free groups with cyclic edge groups... 
MATHEMATICS | DOUBLES | CYCLIC EDGE GROUPS | THEOREM | WORDS | SUBGROUPS | COMBINATION | RELATIVELY HYPERBOLIC GROUPS | HOMOLOGY | LINE PATTERNS | CONJECTURE
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2016, Volume 506, pp. 316 - 328
A theory of orientation on gain graphs (voltage graphs) is developed to generalize the notion of orientation on graphs and signed graphs... 
Voltage graph | Line graph eigenvalues | Gain graph | Orientation on gain graphs | Complex unit gain graph | Oriented gain graph | MATHEMATICS, APPLIED | WEIGHTED DIRECTED-GRAPHS | BIASED GRAPHS | SIGNED GRAPHS | BALANCE | 3-COLORED DIGRAPHS | D-INFINITY | MATHEMATICS | SYSTEMS
Journal Article
IEEE transactions on circuits and systems. I, Regular papers, ISSN 1558-0806, 2013, Volume 60, Issue 1, pp. 150 - 163
Journal Article
Discrete mathematics, ISSN 0012-365X, 2018, Volume 341, Issue 8, pp. 2159 - 2178
Mock threshold graphs are a simple generalization of threshold graphs that, like threshold graphs, are perfect graphs... 
Chordal graph | Forbidden induced subgraph | Mock threshold graph | Line graph | Perfect graph | Claw-free graph | MATHEMATICS
Journal Article