Cyclic, f-Cyclic, and Bicyclic Decompositions of the Complete Graph Into the 4-Cycle With a Pendant Edge

Creator(s)

Daniel Cantrell, East Tennessee State University
Gary D. Coker, Francis Marion University
Robert Gardner, East Tennessee State UniversityFollow

Document Type

Article

Publication Date

3-1-2012

Description

In this paper, we consider decompositions of the complete graph on υv vertices into 4-cycles with a pendant edge which admit automorphisms consisting of: (1) a single cycle of length υ, (2) f fixed points and a cycle of length υ - f, or (3) two disjoint cycles.

Citation Information

Cantrell, Daniel; Coker, Gary D.; and Gardner, Robert. 2012. Cyclic, f-Cyclic, and Bicyclic Decompositions of the Complete Graph Into the 4-Cycle With a Pendant Edge. Utilitas Mathematica. Vol.87 245-253. ISSN: 0315-3681