Constructing 4-valent (1)/(2)-transitive graphs with a nonsolvable automorphism group

Authors
Malnic, A Marusic, D
Citation
A. Malnic et D. Marusic, Constructing 4-valent (1)/(2)-transitive graphs with a nonsolvable automorphism group, J COMB TH B, 75(1), 1999, pp. 46-55
Citations number
14
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES B
ISSN journal
00958956 → ACNP
Volume
75
Issue
1
Year of publication
1999
Pages
46 - 55
Database
ISI
SICI code
0095-8956(199901)75:1<46:C4(GWA>2.0.ZU;2-7
Abstract
A graph is said to be 1/2-transitive if its automorphism group acts transit ively on vertices and edges but not on arcs. For each n greater than or equ al to 11, a 1/2-transitive graph of valency 4 and girth 6, with the automor phism group isomorphic to A(n) x Z(2), is given. (C) 1999 Academic Press.