一类完全二部图删边子图中包含给定森林的生成树计数
Counting Spanning Trees Containinga Given Forest in Edge-DeletedSubgraphs of a Class of CompleteBipartite Graphs
摘要: 本文主要构造了完全二部图删去星图边集后的电学等价图,并且利用 Teufl-Wagner 公式的推广形式,计算了其包含给定生成森林所有边的生成树数目。
Abstract: In this paper, we construct the electrical equivalent graph of the complete bipartite
graph after deleting the edge set of a star, and by applying a generalized form of the
Teufl-Wagner formula, we count the number of spanning trees that contain all edges
of a given spanning forest.
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