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arxiv: 1312.2113 · v1 · pith:GWJRGJUTnew · submitted 2013-12-07 · 🧮 math.CO

Uniformly resolvable decompositions of K_v into P₃ and K₃ graphs

classification 🧮 math.CO
keywords graphcompletedecompositionsresolutionresolvableuniformlyappropriateblocks
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In this paper we consider the uniformly resolvable decompositions of the complete graph $K_v$, or the complete graph minus a 1-factor as appropriate, 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 are either $P_3$ or $K_3$.

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