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A classification of tightly attached half-arc-transitive graphs of valency 4Šparl, PrimožA graph is said to be half-arc-transitive if its automorphism group acts transitively on the set of its vertices and edges but not on the set of its arcs. With each half-arc-transitive graph of ... valency 4 a collection of the so-called alternating cycles is associated, all of which have the same even length. Half of this length is called the radius of the graph in question. Moreover, any two adjacent alternating cycles have the same number of common vertices. If this number, the so-called attachment number, coincides with the radius, we say that the graph is tightly attached. In [D. Marušic, Half-transitive group actions on finite graphs of valency 4, J. Combin. TheorySer. B 73 (1998) 41-76], Marušic gave a classification of tightly attached half-arc-transitive graphs of valency 4 with odd radius. In this paper the even radius tightly attached graphs of valency 4 are classified, thus completing the classification of all tightly attached half-arc-transitive graphs of valency 4.Source: Journal of combinatorial theory. Series B. - ISSN 0095-8956 (Vol. 98, iss. 5, 2008, str. 1076-1108)Type of material - article, component part ; adult, seriousPublish date - 2008Language - englishCOBISS.SI-ID - 2017253
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source: Journal of combinatorial theory. Series B. - ISSN 0095-8956 (Vol. 98, iss. 5, 2008, str. 1076-1108)
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