Alspach's Problem: The Case of Hamilton Cycles and 5-Cycles
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چکیده
منابع مشابه
Alspach's Problem: The Case of Hamilton Cycles and 5-Cycles
In this paper, we settle Alspach’s problem in the case of Hamilton cycles and 5cycles; that is, we show that for all odd integers n ≥ 5 and all nonnegative integers h and t with hn + 5t = n(n − 1)/2, the complete graph Kn decomposes into h Hamilton cycles and t 5-cycles and for all even integers n ≥ 6 and all nonnegative integers h and t with hn+5t = n(n−2)/2, the complete graph Kn decomposes i...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2011
ISSN: 1077-8926
DOI: 10.37236/569