ON AN INFINITE CLASS OF NON-BIPARTITE AND NON-CAYLEY GRAPHS HAVING 2-ARC TRANSITIVE AUTOMORPHISM-GROUPS

被引：1

作者：

NOCHEFRANCA, LR ^{[1
]}

机构：

[1] UNIV PHILIPPINES,DEPT MATH,QUEZON CITY,PHILIPPINES

来源：

GRAPHS AND COMBINATORICS | 1991年 / 7卷 / 03期

关键词：

D O I：

10.1007/BF01787633

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let q be a prime of the form q = 40x + 13, q = 40x + 27, q = 40x + 37, or q = 40x + 43. Then a connected, undirected, 4-valent, non-bipartite graph on which PSL2(q) acts 2-arc transitively is non-Cayley.

引用

页码：271 / 275

页数：5

共 50 条

[21] Square-Free Non-Cayley Numbers. On Vertex-Transitive Non-Cayley Graphs of Square-Free Order
Ákos Seress
Designs, Codes and Cryptography, 2005, 34 : 265 - 281
[22] Tetravalent 2-arc-transitive Cayley graphs on non-abelian simple groups
Du, Jia-Li
Feng, Yan-Quan
COMMUNICATIONS IN ALGEBRA, 2019, 47 (11) : 4565 - 4574
[23] On non-Cayley vertex-transitive graphs of order a product of three primes
Iranmanesh, MA
Praeger, CE
JOURNAL OF COMBINATORIAL THEORY SERIES B, 2001, 81 (01) : 1 - 19
[24] On vertex-transitive non-Cayley graphs of square-free order
Li, CH
Seress, A
DESIGNS CODES AND CRYPTOGRAPHY, 2005, 34 (2-3) : 265 - 281
[25] ON AUTOMORPHISM-GROUPS OF NON-ASSOCIATIVE ALGEBRAS ASSOCIATED WITH DOUBLY TRANSITIVE GROUPS
ALLEN, HP
JOURNAL OF ALGEBRA, 1984, 91 (01) : 258 - 264
[26] NON-CAYLEY VERTEX-TRANSITIVE GRAPHS OF ORDER TWICE THE PRODUCT OF 2 ODD PRIMES
MILLER, AA
PRAEGER, CE
JOURNAL OF ALGEBRAIC COMBINATORICS, 1994, 3 (01) : 77 - 111
[27] AUTOMORPHISM GROUPS OF SOME NON-TRANSITIVE GRAPHS
Gholami, Ahmad
IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2007, 2 (01): : 47 - 54
[28] On 2-arc-transitive Cayley graphs of Abelian groups
Potocnik, P
DISCRETE MATHEMATICS, 2002, 244 (1-3) : 417 - 421
[29] 2-Arc-transitive Cayley graphs on alternating groups
Pan, Jiangmin
Xia, Binzhou
Yin, Fugang
JOURNAL OF ALGEBRA, 2022, 610 : 655 - 683
[30] Cubic vertex-transitive non-Cayley graphs of order 8p
Zhou, Jin-Xin
Fang, Yan-Quan
ELECTRONIC JOURNAL OF COMBINATORICS, 2012, 19 (01):

← 1 2 3 4 5 →