Results 291 to 300 of about 8,313 (308)
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Forbidden induced subgraphs for toughness
J. Graph Theory, 2013Summary: Let \(\mathcal F\) be a family of connected graphs. A graph \(G\) is said to be \(\mathcal F\)-free if \(G\) is \(H\)-free for every graph \(H\) in \(\mathcal F\). We study the relation between forbidden subgraphs in a connected graph \(G\) and the resulting toughness of \(G\). In particular, we consider the problem of characterizing the graph
Katsuhiro Ota, Gabriel Sueiro
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Component factors and induced subgraphs
Journal of Graph Theory, 1996Let \(G\) and \(K\) be connected graphs for the orders of which that \(|G|=n|K|\) \((n\geq2)\) holds and let \(p\) be a fixed integer satisfying ...
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Sizes of Induced Subgraphs of Ramsey Graphs
Combinatorics, Probability and Computing, 2009An n-vertex graph G is c-Ramsey if it contains neither a complete nor an empty induced subgraph of size greater than c log n. Erdős, Faudree and Sós conjectured that every c-Ramsey graph with n vertices contains Ω(n5/2) induced subgraphs, any two of which differ either in the number of vertices or in the number of edges, i.e., the number of distinct ...
Noga Alon +3 more
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Extendable graphs and induced subgraphs
SUT Journal of Mathematics (Formerly TRU Mathematics), 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2007
In this paper we survey some results concerning the structure and properties of families of graphs defined by excluding certain induced subgraphs, including perfect graphs, claw-free graphs, even-hole-free graphs and others.
Maria Chudnovsky, Paul Seymour
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In this paper we survey some results concerning the structure and properties of families of graphs defined by excluding certain induced subgraphs, including perfect graphs, claw-free graphs, even-hole-free graphs and others.
Maria Chudnovsky, Paul Seymour
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The path minimises the average size of a connected induced subgraph
Discrete Mathematics, 2022John Haslegrave
exaly
Inapproximability of Maximum r-Regular Induced Connected Subgraph Problems
IEICE Transactions on Information and Systems, 2013Yuichi Asahiro, Eiji Miyano
exaly
Induced Subgraph in Random Regular Graph
Journal of Systems Science and Complexity, 2008Guiying Yan, Yan Guiying
exaly
Parameterized complexity of the induced subgraph problem in directed graphs
Information Processing Letters, 2007Venkaṭesh Raman, Somnath Sikdar
exaly

