Results 21 to 30 of about 10,864 (212)
Paw-Type Characterization of Hourglass-Free Hamilton-Connected Graphs
Axioms, 2023 This paper introduces the forbidden subgraph conditions for Hamilton-connected graphs. If the degree sequence of the graph is (4,2,2,2,2) and it is connected, then it is called hourglassΓ0.
Panpan Wang, Liming Xiong
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Forbidden subgraph decomposition
Discrete Mathematics, 2002 no ...
Rusu, Irena, Spinrad, Jeremy P.
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On Minrank and Forbidden Subgraphs [PDF]
ACM Transactions on Computation Theory, 2019 The minrank over a field F of a graph G on the vertex set { 1,2,… , n } is the minimum possible rank of a matrix M ∈ F n × n such that M
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Coloring Graphs Characterized by a Forbidden Subgraph [PDF]
Discrete Applied Mathematics, 2012 The Coloring problem is to test whether a given graph can be colored with at most k colors for some given k, such that no two adjacent vertices receive the same color. The complexity of this problem on graphs that do not contain some graph H as an induced subgraph is known for each fixed graph H.
Golovach, P.A., Paulusma, D., Ries, B.
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Forbidden subgraph pairs for traceability of block-chains
Electronic Journal of Graph Theory and Applications, 2013 A block-chain is a graph whose block graph is a path, i.e. it is either a $P_1$, a $P_2$, or a 2-connected graph, or a graph of connectivity 1 with exactly two end-blocks. A graph is called traceable if it contains a Hamilton path.
Binlong Li +2 more
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Dominating cliques in graphs [PDF]
, 1990 A set of vertices is a dominating set in a graph if every vertex not in the dominating set is adjacent to one or more vertices in the dominating set. A dominating clique is a dominating set that induces a complete subgraph.
Cozzens, Margaret B., Kelleher, Laura L.
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Classes of graphs with restricted interval models [PDF]
Discrete Mathematics & Theoretical Computer Science, 1999 We introduce q-proper interval graphs as interval graphs with interval models in which no interval is properly contained in more than q other intervals, and also provide a forbidden induced subgraph characterization of this class of graphs. We initiate a
Andrzej Proskurowski, Jan Arne Telle
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Upward-closed hereditary families in the dominance order [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 The majorization relation orders the degree sequences of simple graphs into posets called dominance orders. As shown by Ruch and Gutman (1979) and Merris (2002), the degree sequences of threshold and split graphs form upward-closed sets within the ...
Michael D. Barrus, Jean A. Guillaume
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Quantum query complexity of minor-closed graph properties [PDF]
, 2011 We study the quantum query complexity of minor-closed graph properties, which include such problems as determining whether an $n$-vertex graph is planar, is a forest, or does not contain a path of a given length. We show that most minor-closed properties-
Childs, Andrew M., Kothari, Robin
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Graphs with forbidden subgraphs
Journal of Combinatorial Theory, Series B, 1971 AbstractMany graphs which are encountered in the study of graph theory are characterized by a type of configuration or subgraph they possess. However, there are occasions when such graphs are more easily defined or described by the kind of subgraphs they are not permitted to contain.
Gary Chartrand +2 more
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