On Hamiltonicity of circulant digraphs of outdegree three

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Title:	On Hamiltonicity of circulant digraphs of outdegree three
Authors:	ID Miklavič, Štefko (Author) ID Šparl, Primož (Author)
Files:	http://dx.doi.org/10.1016/j.disc.2008.12.004
Language:	English
Work type:	Not categorized
Typology:	1.01 - Original Scientific Article
Organization:	IAM - Andrej Marušič Institute
Abstract:	This paper deals with Hamiltonicity of connected loopless circulant digraphs of outdegree three with connection set of the form $\{a,ka,c\}$ , where $k$ is an integer. In particular, we prove that if $k=-1$ or $k=2$ such a circulant digraph is Hamiltonian if and only if it is not isomorphic to the circulant digraph on 12 vertices with connection set $\{3,6,4\}$ .
Keywords:	graph theory, circulant digraph, Hamilton cycle
Year of publishing:	2009
Number of pages:	str. 5437-5443
Numbering:	Vol. 309, iss. 17
PID:	20.500.12556/RUP-3185
ISSN:	0012-365X
UDC:	519.17
COBISS.SI-ID:	1024054100
Publication date in RUP:	15.10.2013
Views:	3801
Downloads:	105
Metadata:
:	MIKLAVIČ, Štefko and ŠPARL, Primož, 2009, On Hamiltonicity of circulant digraphs of outdegree three. [online]. 2009. Vol. 309, no. 17, p. 5437–5443. [Accessed 18 March 2025]. Retrieved from: http://dx.doi.org/10.1016/j.disc.2008.12.004 Copy citation