均匀拟阵四阶圈图的哈密顿性  

Properties of Hamilton of the Fourth Order Circuit Graphs of Uniform Matroid

作　　者：吴亚平[1] 冯丽珠[1] Wu Yaping;Feng Lizhu(School of Artificial intelligence,Jianghan University,Wuhan,Hubei 430056,China)

机构地区：[1]江汉大学人工智能学院,湖北武汉430056

出　　处：《湖北工程学院学报》2021年第6期102-105,共4页Journal of Hubei Engineering University

基　　金：江汉大学科研项目(2021yb056)。

摘　　要：研究了均匀拟阵四阶圈图在某些条件下的哈密顿性。证明了当m+2≤n≤2m^(-2)时,U_(m,n)的四阶圈图是哈密顿连通的,并且是一致哈密顿的;当n=2m^(-1)时,U_(m,2m-1)的四阶圈图是哈密顿连通的,其中m,n∈Z^(+),m≥4。This article mainly studied properties of Hamilton about the fourth order circuit graphs of uniform matroid under certain conditions.It is discovered the fourth order circuit graphs of U m,n is Hamiltonian-connected and uniform Hamilton if n=m+2,m+3,…,2m-2,which m,n are positive integer and m≥4,n≥m+2 and the fourth order circuit graphs of U m,2m-1 is Hamilton-connected.

关 键 词：均匀拟阵 拟阵的圈图 哈密顿连通 一致哈密顿 

分 类 号：O157.5[理学—数学]