A decomposition of the complete graph K_v into copies of a subgraph G is called a sharply transitive G-decomposition if it is left invariant by an automorphism group acting sharply transitively on the vertex set of K_v. For suitable values of v we construct examples of sharply transitive G-decompositions when G is either a Petersen graph, a generalized Petersen graph or a prism.
Sharply transitive decompositions of complete graphs into generalized Petersen graphs / Bonisoli, Arrigo; M., Buratti; Rinaldi, Gloria. - In: INNOVATIONS IN INCIDENCE GEOMETRY. - ISSN 1781-6475. - STAMPA. - 6-7:(2008), pp. 95-109.
Sharply transitive decompositions of complete graphs into generalized Petersen graphs
BONISOLI, Arrigo;RINALDI, Gloria
2008
Abstract
A decomposition of the complete graph K_v into copies of a subgraph G is called a sharply transitive G-decomposition if it is left invariant by an automorphism group acting sharply transitively on the vertex set of K_v. For suitable values of v we construct examples of sharply transitive G-decompositions when G is either a Petersen graph, a generalized Petersen graph or a prism.
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