A Tighter Erdos-Posa Function for Long Cycles

作者:Fiorini Samuel*; Herinckx Audrey
来源:Journal of Graph Theory, 2014, 77(2): 111-116.
DOI:10.1002/jgt.21776

摘要

We prove that there exists a bivariate function f with f (k, l) = O(l . k log k) such that for every natural k and l, every graph G has at least k vertex-disjoint cycles of length at least l or a set of at most f (k, l) vertices that meets all cycles of length at least l. This improves a result by Birmele et al. (Combinatorica, 27 (2007), 135-145), who proved the same result with f (k, l) = Theta(l . k(2)).

  • 出版日期2014-9

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