Semisymmetric cubic graphs of order 16p2.

Authors :: Alaeiyan, Mehdi
Tavallaee, Hamid A.
Onagh, B. N.
Source :: Proceedings of the Indian Academy of Sciences: Mathematical Sciences. Feb2010, Vol. 120 Issue 1, p19-26. 8p. 2 Diagrams.
Publication Year :: 2010
Abstract: An undirected graph without isolated vertices is said to be semisymmetric if its full automorphism group acts transitively on its edge set but not on its vertex set. In this paper, we inquire the existence of connected semisymmetric cubic graphs of order 16p². It is shown that for every odd prime p, there exists a semisymmetric cubic graph of order 16p² and its structure is explicitly specified by giving the corresponding voltage rules generating the covering projections. [ABSTRACT FROM AUTHOR]

Subjects :: *AUTOMORPHISMS
*SYMMETRIC functions
*ABELIAN equations
*VOLTAGE regulators
*GRAPH algorithms

Language :: English
ISSN :: 02534142
Volume :: 120
Issue :: 1
Database :: Academic Search Index
Journal :: Proceedings of the Indian Academy of Sciences: Mathematical Sciences
Publication Type :: Academic Journal
Accession number :: 48656365
Full Text :: https://doi.org/10.1007/s12044-010-0006-3