k正则点传递二部图的超圈边连通性Hyper-cyclic Edge Connectivity of K-regular Point Transitive Bipartite Graphs
万海云,姜海宁
摘要(Abstract):
如果删除一个图G的边集E后,至少有两个连通分支有圈,则称E为图G的圈边割,把有圈边割的图称为圈可分的.对于一个圈可分图G来说,最小圈边割的基数称为圈边连通度λ_c(G).如果去除任何一个最小圈边割,总存在一连通分支为最小圈,则图G为超圈边连通的.利用反证法,得到一个(k≥4)正则围长g(G)≥6的点传递二部图是超圈边连通的.
关键词(KeyWords): 圈边连通度;圈边割;超圈边连通性;轨道
基金项目(Foundation): 国家自然科学基金(12061007)
作者(Author): 万海云,姜海宁
DOI: 10.16393/j.cnki.37-1436/z.2024.05.019
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