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2007, 1st ed., ISBN 9780471731900, xix, 479
This text takes a focused and comprehensive look at mining data represented as a graph, with the latest findings and applications in both theory and practice provided... 
Data mining | Data structures (Computer science) | Graphic methods | Computer Programming | TECHNOLOGY & ENGINEERING | Electronics | Digital
Book
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
Classical and quantum gravity, ISSN 1361-6382, 2019, Volume 36, Issue 24, p. 245009
We perform functional-integral quantisation of the moduli of all quantum metrics defined as square-lengths a on the edges of a Lorentzian quadrilateral graph... 
QUANTUM SCIENCE & TECHNOLOGY | functional integral | PHYSICS, MULTIDISCIPLINARY | discrete gravity | noncommutative geometry | CONNECTIONS | quantum gravity | DEFORMATION | graph | POINCARE | lattice | ASTRONOMY & ASTROPHYSICS | SPACETIME | QUANTIZATION | GEOMETRY | PHYSICS, PARTICLES & FIELDS
Journal Article
2010, 4th ed., Graduate texts in mathematics, ISBN 9783642142789, Volume 173., xviii, 436
Book
2007, 2nd ed., ISBN 1584885068, 984
Book
2010, STU - Student edition, Princeton series in applied mathematics, ISBN 9780691140612, xix, 403
.... Focusing on graph theoretic methods for the analysis and synthesis of dynamic multiagent networks, the book presents a powerful new formalism and set of tools for networked systems... 
Network analysis (Planning) | Mathematics | PBV | Applied | Graphic Methods | Multiagent systems | Mathematical models | Graphic methods | Graph theory
Book
Journal of combinatorial theory. Series B, ISSN 0095-8956, 2019, Volume 135, pp. 96 - 128
We consider the class of Berge graphs that do not contain an induced cycle of length four... 
Coloring | Berge graph | Algorithm | Square-free | MATHEMATICS | EVEN | ALGORITHMS | Data Structures and Algorithms | Computer Science
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 2009, Volume 157, Issue 1, pp. 170 - 176
.... The square G 2 of a graph G is defined on the vertex set of G such that distinct vertices within distance two in G are joined by an edge. The span λ ( G... 
Graph square | Kneser graph | [formula omitted]-labeling | Chromatic number | Schrijver graph | L (2, 1)-labeling | MATHEMATICS, APPLIED | LABELING GRAPHS | L(2,1)-labeling
Journal Article
Journal of combinatorial theory. Series B, ISSN 0095-8956, 2018, Volume 128, pp. 192 - 218
We prove the conjecture made by G. Wegner in 1977 that the square of every planar, cubic graph is 7-colorable... 
Square of graph | Chromatic number | MATHEMATICS
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 03/2019, Volume 257, pp. 158 - 174
Journal Article
Journal of combinatorial theory. Series B, ISSN 0095-8956, 2017, Volume 122, pp. 479 - 507
A graph K is square-free if it contains no four-cycle as a subgraph (i.e., for every quadruple of vertices, if v0v1,v1v2,v2v3,v3v0∈E(K), then v0=v2 or v1=v3... 
Box complex | Homotopy | Four-cycle-free | Hedetniemi's conjecture | Homomorphism | Multiplicativity | Square-free | HEDETNIEMIS CONJECTURE | COMPLEXES | CHROMATIC NUMBER | MATHEMATICS | CATEGORY | PRODUCT | Mathematics - Combinatorics
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 05/2014, Volume 168, pp. 34 - 39
Let G be a graph class. The square root of G contains all graphs whose squares belong in G... 
Carving-width | Square roots of graphs | Graph minors | Branch-width | MATHEMATICS, APPLIED | CONTAINMENT | ALGORITHMS | Algorithms | Graphs | Mathematical analysis | Roots | Recognition | Computer Science | Discrete Mathematics
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 12/2019, Volume 271, pp. 64 - 73
.... The square G2 of a graph G is the graph defined by V(G)=V(G2) and uv∈E(G2) if and only if the distance between u and v is at most two. We denote by χ(G2... 
Graph coloring | Discharging method | Square coloring | Maximum average degree | MATHEMATICS, APPLIED | Coloring | Graphs | Graph theory | Decision trees | Apexes
Journal Article
Journal of combinatorial theory. Series B, ISSN 0095-8956, 2019, Volume 138, pp. 1 - 40
We study a metric on the set of finite graphs in which two graphs are considered to be similar if they have similar bounded dimensional “factors... 
Graph quotients | Hausdorff quasi-metric | Regularity lemma | Compactness | MATHEMATICS
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 07/2016, Volume 32, Issue 4, pp. 1461 - 1472
... disjoint. The square of a graph G is the graph defined on V(G) such that two vertices u and v are adjacent in if the distance between u and v in G is at most... 
Kneser graph | Square of graph | Chromatic number | Injective coloring | MATHEMATICS
Journal Article
Journal of combinatorial designs, ISSN 1063-8539, 2019, Volume 27, Issue 3, pp. 142 - 160
We study equitable partitions of Latin‐square graphs and give a complete classification of those whose quotient matrix does not have an eigenvalue −3. 
Latin‐square graph | Cayley table | equitable partition | eigenvalue | Latin-square graph | MATHEMATICS | TIGHT SETS | M-OVOIDS | CONSTRUCTION | LIEBLER LINE CLASSES | Mathematics - Combinatorics
Journal Article
Journal of Computer and System Sciences, ISSN 0022-0000, 12/2019, Volume 106, pp. 60 - 79
The complexity of Colouring is fully understood for H-free graphs, but there are still major complexity gaps if two induced subgraphs H1 and H2 are forbidden... 
Atoms | Graph colouring | Forbidden induced subgraphs | Clique-width | NP-COMPLETENESS | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | SET | COMPLEXITY | COMPUTER SCIENCE, THEORY & METHODS | Computer science | Hardness
Journal Article