Contractible Edges and Longest Cycles in 3-Connected Graphs

被引：0
|
作者：
Egawa, Yoshimi [1 ]
Nakamura, Shunsuke [2 ]
机构：
[1] Tokyo Univ Sci, Dept Appl Math, 1-3 Kagurazaka,Shinju Ku, Tokyo 1628601, Japan
[2] Natl Inst Technol, Kurume Coll, Dept Liberal Arts Sci & Math, 1-1-1 Komorino, Fukuoka 8308555, Japan
来源：
GRAPHS AND COMBINATORICS | 2023年 / 39卷 / 01期
关键词：
3-Connected graph; Contractible edge; Longest cycle; MAXIMUM NUMBER;
D O I：
10.1007/s00373-022-02609-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that if G is a 3-connected graph of order at least 5, then there exists a longest cycle C of G such that the number of contractible edges of G which are on C is greater than or equal to (|E(C)| + 5) /6.
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页数：16
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