The Directed Anti-Oberwolfach Solution: Pancyclic 2-factorizations of complete directed graphs of odd order

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作者
Stevens, Brett [1 ]
机构
[1] Simon Fraser Univ, Dept Math & Stat, Burnaby, BC V5A 1S6, Canada
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O29 [应用数学];
学科分类号
070104 ;
摘要
The directed anti-Oberwolfach problem asks for a 2-factorization (each factor has in-degree 1 and out-degree 1 for a total degree of two) of K2n+1, not with consistent cycle components in each 2-factor like the Oberwolfach problem, but such that every admissible cycle size appears at least once in some 2-factor. The solution takes advantage of both Piotrowski's decomposition techniques used to solve Oberwolfach problems and the techniques used by the author to solve the undirected anti-Oberwolfach problem.
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页数:15
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