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Matching polynomials for chains of cycles
Authors:Hong Bian  Fuji Zhang  Guoping Wang  Haizheng Yu
Institution:aSchool of Mathematical Sciences, Xinjiang Normal University, Urumqi, Xinjiang 830054, PR China;bSchool of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, PR China;cCollege of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang 830046, PR China
Abstract:Došli? and Måløy (2010) 2] obtained the extremal 6-cactus chains with respect to the number of matchings and of independent sets. Motivated by the prior paper, in this paper we give recurrences for matching polynomials of ortho-chains and meta-chains, and show that they are the h-cactus chains with the most matchings.
Keywords:_method=retrieve&  _eid=1-s2  0-S0012365X1000381X&  _mathId=si5  gif&  _pii=S0012365X1000381X&  _issn=0012365X&  _acct=C000053510&  _version=1&  _userid=1524097&  md5=7e735e59e1b073f30975b18d3bfa8872')" style="cursor:pointer  k-matching" target="_blank">">k-matching  Matching polynomials  Cactus chain
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