An entropy proof of the Kahn-Lovasz theorem

作者:Cutler Jonathan*; Radcliffe A J
来源:Electronic Journal of Combinatorics, 2011, 18(1): P10.

摘要

Bregman [2], gave a best possible upper bound for the number of perfect matchings in a balanced bipartite graph in terms of its degree sequence. Recently Kahn and Lovasz [8] extended Bregman's theorem to general graphs. In this paper, we use entropy methods to give a new proof of the Kahn-Lovasz theorem. Our methods build on Radhakrishnan's [9] use of entropy to prove Bregman's theorem.

  • 出版日期2011-1-5