On numbers of vertices of maximum degree in the spanning trees of a graph
نویسندگان
چکیده
For a connected graph G, let ~-(G) be the set of all spanning trees of G and let nd(G) be the number of vertices of maximum degree in G. In this paper we show that if G is a cactus or a connected graph with p vertices and p + 1 edges, then the set {na(T) : T C ~-(G)) has at most one gap, that is, it is a set of consecutive integers or it is the union of two sets each of which consists of consecutive integers.
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عنوان ژورنال:
- Discrete Mathematics
دوره 155 شماره
صفحات -
تاریخ انتشار 1996