Degree sequences of -free graphs.
Pikhurko, Oleg, Taraz, Anusch (2005)
The Electronic Journal of Combinatorics [electronic only]
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Pikhurko, Oleg, Taraz, Anusch (2005)
The Electronic Journal of Combinatorics [electronic only]
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Filip Guldan (1991)
Czechoslovak Mathematical Journal
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Balogh, József, Martin, Ryan (2008)
The Electronic Journal of Combinatorics [electronic only]
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Bollobás, Béla, Nikiforov, Vladimir (2005)
The Electronic Journal of Combinatorics [electronic only]
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Mubayi, Dhruv, Rödl, Vojtěch (2004)
The Electronic Journal of Combinatorics [electronic only]
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Xu, Xiaodong, Luo, Haipeng, Shao, Zehui (2010)
The Electronic Journal of Combinatorics [electronic only]
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Tomoki Nakamigawa (2014)
Discussiones Mathematicae Graph Theory
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Let k and ℓ be positive integers with ℓ ≤ k − 2. It is proved that there exists a positive integer c depending on k and ℓ such that every graph of order (2k−1−ℓ/k)n+c contains n vertex disjoint induced subgraphs, where these subgraphs are isomorphic to each other and they are isomorphic to one of four graphs: (1) a clique of order k, (2) an independent set of order k, (3) the join of a clique of order ℓ and an independent set of order k − ℓ, or (4) the union of an independent set of...
Mirko Horňák, Stanislav Jendrol’, Ingo Schiermeyer (2013)
Discussiones Mathematicae Graph Theory
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The weight of an edge xy of a graph is defined to be the sum of degrees of the vertices x and y. The weight of a graph G is the minimum of weights of edges of G. More than twenty years ago Erd˝os was interested in finding the maximum weight of a graph with n vertices and m edges. This paper presents a complete solution of a modification of the above problem in which a graph is required to be bipartite. It is shown that there is a function w*(n,m) such that the optimum weight is either...
Yair Caro (1994)
Czechoslovak Mathematical Journal
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