Uniformly resolvable decompositions of K_v into paths on two, three and four vertices

preprint2014arXivOpen access

Abstract

In this paper we consider uniformly resolvable decompositions of the complete graph K_v into subgraphs such that each resolution class contains only blocks isomorphic to the same graph. We completely determine the spectrum for the case in which all the resolution classes consist of either P_2, P_3 and P_4.

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