节点文献
几类乘积图的圈覆盖
The Cycle Cover of Some of the Product Graphs
【摘要】 文献[1]提出猜想:每个2─连通n阶简单图都有一个圈覆盖C,使得|c|≤(2n-1)/3。此猜想至今尚未完全证实。本文对路、圈、完全图的若干笛卡尔乘积图和张量乘积图证实了猜想是正确的。
【Abstract】 The conjecture proposed by Bondy J A,that every 2-connected simple graph G on n vertices admits a collection C of a cycle of G in such a way that |C|<(2n-l) / 3, has not been fully confirmed so far. In this paper,this conjecture is confirmed by a number of cartesion product graphs and tensor product graphs on path, cycle and complete graphs.
- 【文献出处】 福州大学学报(自然科学版) ,JOURNAL OF FUZHOU UNIVERSITY(NATURAL SCIENCES EDTION) , 编辑部邮箱 ,1995年01期
- 【分类号】O157.5
- 【下载频次】40