Fraternal augmentations, arrangeability and linear Ramsey numbers
Fraternal augmentations, arrangeability and linear Ramsey numbers
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DOI:
10.1016/j.ejc.2009.03.012
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发表时间:
2009-10
期刊:
影响因子:
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通讯作者:
J. Nesetril;P. D. Mendez
中科院分区:
文献类型:
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作者:
J. Nesetril;P. D. Mendez
We relate the notions of arrangeability and admissibility to bounded expansion classes and prove that these notions can be characterized by ∇1(G). (The Burr–Erdős conjecture relates to ∇0(G).) This implies the linearity of the Ramsey number and the bounded game chromatic number for some new classes of graphs.