Title

Bicyclic Decompositions of Kv Into Copies of K3 ∪{E}

Document Type

Article

Publication Date

11-1-1998

Description

A decomposition of the complete graph on v vertices, Kv, into copies of K3 with a pendant edge is called a "lollipop" system of order v, denoted LS(v). We give necessary and sufficient conditions for the existence of a LS(v) admitting an automorphism consisting of two disjoint cycles. We also give a brief proof that the previously known sufficient conditions for the existence of a cyclic LS(v) are in fact necessary.

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