標題: The Hamilton-Waterloo Problem for Triangle-Factors and Heptagon-Factors
作者: Lei, Hongchuan
Fu, Hung-Lin
應用數學系
Department of Applied Mathematics
關鍵字: Cycle decomposition;Triangle-factor;Heptagon-factor;2-Factorization
公開日期: 1-一月-2016
摘要: Given 2-factors and of order , let and be nonnegative integers with , the Hamilton-Waterloo problem asks for a 2-factorization of if is odd, or of if is even, in which of its 2-factors are isomorphic to and the other 2-factors are isomorphic to . In this paper, we solve the problem for the case of triangle-factors and heptagon-factors for odd with 3 possible exceptions when .
URI: http://dx.doi.org/10.1007/s00373-015-1570-1
http://hdl.handle.net/11536/129503
ISSN: 0911-0119
DOI: 10.1007/s00373-015-1570-1
期刊: GRAPHS AND COMBINATORICS
Volume: 32
起始頁: 271
結束頁: 278
顯示於類別:期刊論文