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- W196785000 abstract "Wilson's Theorem [8] guarantees that for any given graph G, there exists an integer n such that the complete graph K(n) can be decomposed into edge-disjoint isomorphic copies of G. The corresponding result is not true for edge-coloured graph decompositions. Let rK(n)* denote the edge-coloured graph with n vertices, r colours, and precisely one edge of each colour joining each pair of distinct vertices. It is easy to give an example of an edge-coloured graph G* such that there is no finite integer n for which it is possible to decompose rK(n)* into edge-disjoint colour-identical copies of G*. We investigate the problem of determining precisely when an edge-coloured graph G* with r colours admits a G*-decomposition of rK(n)* for some finite n. We also investigate conditions under which any partial edge-coloured G*-decomposition of rK(n)* has a finite embedding." @default.
- W196785000 created "2016-06-24" @default.
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- W196785000 date "2011-04-01" @default.
- W196785000 modified "2023-09-27" @default.
- W196785000 title "On the existence and embedding of edge-coloured graph decompositions" @default.
- W196785000 hasPublicationYear "2011" @default.
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