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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H.P. Patil, R. Pandiya Raj (2013)
Discussiones Mathematicae Graph Theory
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The technique of counting cliques in networks is a natural problem. In this paper, we develop certain results on counting of triangles for the total graph of the Mycielski graph or central graph of star as well as completegraph families. Moreover, we discuss the upper bounds for the number of triangles in the Mycielski and other well known transformations of graphs. Finally, it is shown that the achromatic number and edge-covering number of the transformations mentioned above are equated. ...