Recent trends and future directions in vertex-transitive graphs

Klavdija Kutnar (Author), Dragan Marušič (Author)

Abstract

A graph is said to be vertex-transitive if its automorphism group acts transitively on the vertex set. Some recent developments and possible future directions regarding two famous open problems, asking about existence of Hamilton paths and existence of semiregular automorphisms in vertex-transitive graphs, are discussed, together with some recent results on arc-transitive graphs and half-arc-transitive graphs, two special classes of vertex-transitive graphs that have received particular attention over the last decade.

Keywords

matematika;teorija grafov;tranzitivni grafi;poltranzitivni grafi;Hamiltonov cikel;delovanje grupe;polregularna grupa;vertex-transitive graph;arc-transitive graph;half-arc-transitive graph;Hamilton cycle;Hamilton path;semiregular group;(im)primitive group;

Data

Language:	English
Year of publishing:	2008
Typology:	1.01 - Original Scientific Article
Organization:	UP - University of Primorska
UDC:	519.17
COBISS:	2112229
ISSN:	1855-3966
Parent publication:	Ars mathematica contemporanea
Views:	2978
Downloads:	131
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary keywords:	matematika;teorija grafov;tranzitivni grafi;poltranzitivni grafi;Hamiltonov cikel;delovanje grupe;polregularna grupa;
Type (COBISS):	Not categorized
Pages:	str. 112-125
Volume:	ǂVol. ǂ1
Issue:	ǂno. ǂ2
Chronology:	2008
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;combinatorial analysis;graph theory;kombinatorika;
ID:	14092546