Decomposition of Certain Complete Bipartite Graphs into Prisms

Autor: Froncek Dalibor
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Discussiones Mathematicae Graph Theory, Vol 37, Iss 1, Pp 55-62 (2017)
Druh dokumentu: article
ISSN: 2083-5892
DOI: 10.7151/dmgt.1914
Popis: Häggkvist [6] proved that every 3-regular bipartite graph of order 2n with no component isomorphic to the Heawood graph decomposes the complete bipartite graph K6n,6n. In [1] Cichacz and Froncek established a necessary and sufficient condition for the existence of a factorization of the complete bipartite graph Kn,n into generalized prisms of order 2n. In [2] and [3] Cichacz, Froncek, and Kovar showed decompositions of K3n/2,3n/2 into generalized prisms of order 2n. In this paper we prove that K6n/5,6n/5 is decomposable into prisms of order 2n when n ≡ 0 (mod 50).
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