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
DOI: 10.12677/PM.2026.168191, PDF,   
作者: 闫倩倩:青海民族大学数学与统计学院,青海 西宁
关键词: 生成树生成森林电网络Spanning Tree Spanning Forest Electrical Network
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.
文章引用:闫倩倩. 一类完全二部图删边子图中包含给定森林的生成树计数[J]. 理论数学, 2026, 16(8): 169-178. https://doi.org/10.12677/PM.2026.168191

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