A note on a spanning 3-tree

被引:6
作者
Tsugaki, Masao [1 ]
机构
[1] Tokyo Univ Sci, Dept Math Informat Sci, Shinjuku Ku, Tokyo 1628601, Japan
关键词
05C05;
D O I
10.1007/s00493-009-2349-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A tree T is called a k-tree, if the maximum degree of T is at most k. In this paper, we prove that if G is an n-connected graph with independence number at most n + m + 1 (na parts per thousand yen1,na parts per thousand yenma parts per thousand yen0), then G has a spanning 3-tree T with at most m vertices of degree 3.
引用
收藏
页码:127 / 129
页数:3
相关论文
共 3 条
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Bondy J., 1995, Handbook of Combinatorics, V1, P5
[2]  
NEUMANNLARA V, 1991, COMBINATORICA, V11, P55, DOI 10.1007/BF01375473
[3]  
Win S., 1979, RESULTATE MATH, V2, P215