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Let Fk denote the family of 2-edge-colored complete graphs on 2k vertices in which one color forms either a clique of order k or two disjoint cliques of order k. Bollobás conjectured that for every 2 > 0 and positive integer k there is an n(k, 2) such that every 2-edge-coloring of the complete graph of order n ≥ n(k, 2) which has at least 2n2 ) edges in each color contains a member of Fk. This ...
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ژورنال
عنوان ژورنال: Brazilian Political Science Review
سال: 2013
ISSN: 1981-3821
DOI: 10.1590/s1981-38212013000200009