Solution to the problem of Kubesa
نویسنده
چکیده
An infinite family of T -factorizations of complete graphs K2n, where 2n = 56k and k is a positive integer, in which the set of vertices of T can be split into two subsets of the same cardinality such that degree sums of vertices in both subsets are not equal, is presented. The existence of such T -factorizations provides a negative answer to the problem posed by Kubesa.
منابع مشابه
On a problem of Froncek and Kubesa
Let n be a positive integer and T be a tree of order 2n. We say that the complete graph K2n of order 2n has a T -factorization if there are spanning trees T1, . . . , Tn of K2n, all isomorphic to T , such that each edge of K2n belongs to exactly one of T1, . . . , Tn. Fronček and Kubesa have raised the following question. Suppose that K2n has a T -factorization. Is it true that T possesses a se...
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ورودعنوان ژورنال:
- Discussiones Mathematicae Graph Theory
دوره 28 شماره
صفحات -
تاریخ انتشار 2008