Browsing by Author "Lei, Hongchuan"

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The Hamilton-Waterloo problem for Hamilton cycles and C(4k)-factors
(2011-07-01)
Lei, Hongchuan
;
Fu, Hung-Lin
;
Shen, Hao
;
應用數學系
;
Department of Applied Mathematics
In this paper we give a complete solution to the Hamilton-Waterloo problem for the case of Hamilton cycles and C(4k)-factors for all positive integers k.
The Hamilton-Waterloo problem for Hamilton cycles and C-4k-factors
(2011-07-01)
Lei, Hongchuan
;
Fu, Hung-Lin
;
Shen, Hao
;
應用數學系
;
Department of Applied Mathematics
In this paper we give a complete solution to the Hamilton-Waterloo problem for the case of Hamilton cycles and C-4k-factors for all positive integers k.
The Hamilton-Waterloo Problem for Triangle-Factors and Heptagon-Factors
(2016-01-01)
Lei, Hongchuan
;
Fu, Hung-Lin
;
應用數學系
;
Department of Applied Mathematics
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 .