On the Turan Number of Theta Graphs

被引：3
|
作者：
Zhai, Mingqing [1 ]
Fang, Longfei [1 ]
Shu, Jinlong [2 ]
机构：
[1] Chuzhou Univ, Sch Math & Finance, Chuzhou, Anhui, Peoples R China
[2] East China Normal Univ, Sch Data Sci & Engn, Shanghai, Peoples R China
来源：
GRAPHS AND COMBINATORICS | 2021年 / 37卷 / 06期
关键词：
Turan number; Extremal graph; Theta graph; PATHS;
D O I：
10.1007/s00373-021-02342-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Turan number ex(n, H) is the maximum number of edges in any graph of order n that contains no copy of H as a subgraph. For any three positive integers p, q, r with p <= q <= r and q >= 2, let theta(p, q, r) denote the graph obtained from three internally disjoint paths with the same pair of endpoints, where the three paths are of lengths p, q, r, respectively. Let k = p + q + r - 1. In this paper, we obtain the exact value of ex(n,theta(p,q, r)) and characterize the unique extremal graph for n >= 9k(2) - 3k and any p, q, r with different parities. This extends a known result on odd cycles.
引用
收藏
页码：2155 / 2165
页数：11
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