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The Ryjáček Closure and a Forbidden Subgraph [PDF]

open access: yesDiscussiones Mathematicae Graph Theory, 2016
The Ryjáček closure is a powerful tool in the study of Hamiltonian properties of claw-free graphs. Because of its usefulness, we may hope to use it in the classes of graphs defined by another forbidden subgraph. In this note, we give a negative answer to
Saito Akira, Xiong Liming
doaj   +4 more sources

Toughness, Forbidden Subgraphs and Pancyclicity [PDF]

open access: yesGraphs and Combinatorics, 2021
AbstractMotivated by several conjectures due to Nikoghosyan, in a recent article due to Li et al., the aim was to characterize all possible graphs H such that every 1-tough H-free graph is hamiltonian. The almost complete answer was given there by the conclusion that every proper induced subgraph H of $$K_1\cup P_4$$
Wei Zheng 0008   +2 more
openaire   +4 more sources

Forbidden Subgraph Problems with Predictions [PDF]

open access: yesCoRR
In the Online Delayed Connected H-Node-Deletion Problem, an unweighted graph is revealed vertex by vertex and it must remain free of any induced copies of a specific connected induced forbidden subgraph H at each point in time. To achieve this, an algorithm must, upon each occurrence of H, identify and irrevocably delete one or more vertices.
Hans-Joachim Böckenhauer   +3 more
core   +4 more sources

Forbidden subgraphs and the König–Egerváry property [PDF]

open access: yesDiscrete Applied Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Flavia Bonomo   +5 more
openaire   +8 more sources

Small bipartite subgraph polytopes [PDF]

open access: yes, 2010
We compute a complete linear description of the bipartite subgraph polytope, for up to seven nodes, and a conjectured complete description for eight nodes.
Galli, L, Letchford, A N
core   +5 more sources

Splits with forbidden subgraphs [PDF]

open access: yesDiscrete Mathematics, 2022
In this note, we fix a graph $H$ and ask into how many vertices can each vertex of a clique of size $n$ can be "split" such that the resulting graph is $H$-free. Formally: A graph is an $(n,k)$-graph if its vertex sets is a pairwise disjoint union of $n$ parts of size at most $k$ each such that there is an edge between any two distinct parts. Let $$ f(
Maria Axenovich, Ryan R. Martin
openaire   +3 more sources

Forbidden Subgraphs of Power Graphs [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2021
The undirected power graph (or simply power graph) of a group $G$, denoted by $P(G)$, is a graph whose vertices are the elements of the group $G$, in which two vertices $u$ and $v$ are connected by an edge between if and only if either $u=v^i$ or $v=u^j$ for some $i$, $j$.
Pallabi Manna   +2 more
openaire   +6 more sources

Pattern matching and pattern discovery algorithms for protein topologies [PDF]

open access: yes, 2001
We describe algorithms for pattern matching and pattern learning in TOPS diagrams (formal descriptions of protein topologies). These problems can be reduced to checking for subgraph isomorphism and finding maximal common subgraphs in a restricted ...
Viksna, J, Gilbert, D
core   +7 more sources

On minimal forbidden subgraph characterizations of balanced graphs [PDF]

open access: yes, 2013
Artículo de publicación ISIA graph is balanced if its clique-matrix contains no edge–vertex incidence matrix of an odd chordless cycle as a submatrix.
Safe, Martín D.   +9 more
core   +2 more sources

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