In this paper we consider uniformly resolvable decompositions of the complete graph K_v, i.e., decompositions of K_v whose blocks can be partitioned into factors and each factor contains pairwise isomorphic blocks. We determine necessary and sufficient conditions for the existence of a uniformly resolvable decomposition of K_v into paths on two, three and four vertices. © 2015 Elsevier B.V. All rights reserved.
Uniformly resolvable decompositions of Kv into paths on two, three and four vertices
LO FARO, Giovanni;TRIPODI, Antoinette
2015-01-01
Abstract
In this paper we consider uniformly resolvable decompositions of the complete graph K_v, i.e., decompositions of K_v whose blocks can be partitioned into factors and each factor contains pairwise isomorphic blocks. We determine necessary and sufficient conditions for the existence of a uniformly resolvable decomposition of K_v into paths on two, three and four vertices. © 2015 Elsevier B.V. All rights reserved.File in questo prodotto:
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Uniformly resolvable decomposition of K_v into paths on two,three and four vertices.pdf
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