Results 71 to 80 of about 566 (185)
Clique-Width of Graph Classes Defined by Two Forbidden Induced Subgraphs [PDF]
The Computer Journal, 2015 24 pages, An extended abstract of this paper will appear in the proceedings of CIAC ...
Konrad K. Dabrowski, Daniël Paulusma
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On Hereditary Helly classes of graphs
Discrete Mathematics & Theoretical Computer Science, 2008 In graph theory, the Helly property has been applied to families of sets, such as cliques, disks, bicliques, and neighbourhoods, leading to the classes of clique-Helly, disk-Helly, biclique-Helly, neighbourhood-Helly graphs, respectively.
Marina Groshaus, Jayme Luiz Szwarcfiter
doaj
Finding Maximum Weight 2‐Packing Sets on Arbitrary Graphs
Networks, Volume 87, Issue 4, Page 404-427, June 2026.ABSTRACT A 2‐packing set for an undirected, weighted graph G=(V,E,w) is a subset 𝒮⊆V such that any two vertices v1,v2∈𝒮 are not adjacent and have no common neighbors. The Maximum Weight 2‐Packing Set problem that asks for a 2‐packing set of maximum weight is NP‐hard.
Jannick Borowitz +2 more
wiley +1 more source
Recoloring via Modular Decomposition
Journal of Graph Theory, Volume 111, Issue 4, Page 113-123, April 2026.ABSTRACT The reconfiguration graph of the k‐colorings of a graph G, denoted R k ( G ), is the graph whose vertices are the k‐colorings of G and two colorings are adjacent in R k ( G ) if they differ in color on exactly one vertex. A graph G is said to be recolorable if R ℓ ( G ) is connected for all ℓ ≥ χ ( G ) + 1.
Manoj Belavadi +2 more
wiley +1 more source
Graph isomorphism for graph classes characterized by two forbidden induced subgraphs [PDF]
Discrete Applied Mathematics, 2012 We study the complexity of the Graph Isomorphism problem on graph classes that are characterized by a finite number of forbidden induced subgraphs, focusing mostly on the case of two forbidden subgraphs. We show hardness results and develop techniques for the structural analysis of such graph classes, which applied to the case of two forbidden ...
Stefan Kratsch, Pascal Schweitzer
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Hypergraphs with arbitrarily small codegree Turán density
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract The codegree Turán density γ(F)$\gamma (F)$ of a k$k$‐graph F$F$ is the smallest γ∈[0,1)$\gamma \in [0,1)$ such that every k$k$‐graph H$H$ with δk−1(H)⩾(γ+o(1))|V(H)|$\delta _{k-1}(H)\geqslant (\gamma +o(1))\vert V(H)\vert$ contains a copy of F$F$. In this work, we show that for every ε>0$\varepsilon >0$, there is a k$k$‐uniform hypergraph F$F$
Simón Piga, Bjarne Schülke
wiley +1 more source
Pairs of forbidden induced subgraphs for homogeneously traceable graphs
Discrete Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Binlong +3 more
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DP-4-Colorability on Planar Graphs Excluding 7-Cycles Adjacent to 4- or 5-Cycles
MathematicsIn order to resolve Borodin’s Conjecture, DP-coloring was introduced in 2017 to extend the concept of list coloring. In previous works, it is proved that every planar graph without 7-cycles and butterflies is DP-4-colorable.
Fan Yang, Xiangwen Li, Ziwen Huang
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Toric ideals of matching polytopes and edge colorings
Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we investigate the maximal degree of minimal generators of the toric ideal of the matching polytope of a graph. It is known that the toric ideal associated with a bipartite graph is generated by binomials of degree at most 3.
Kenta Mori +3 more
wiley +1 more source
The Cops and Robber game on graphs with forbidden (induced) subgraphs
Contributions to Discrete Mathematics, 2010 The two-player, complete information game of Cops and Robber is played on undirected finite graphs. A number of cops and one robber are positioned on vertices and take turns in sliding along edges. The cops win if, after a move, a cop and the robber are on the same vertex.
Joret, Gwenaël +2 more
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