Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0167-5060(08)70768-4
Title: On Edge-Hamiltonian Property of Cayley Graphs
Authors: Chen, C.C. 
Issue Date: 1988
Citation: Chen, C.C. (1988). On Edge-Hamiltonian Property of Cayley Graphs. Annals of Discrete Mathematics 38 (C) : 29-33. ScholarBank@NUS Repository. https://doi.org/10.1016/S0167-5060(08)70768-4
Abstract: Let G be a group generated by X. A Cayley graph over G is defined as a graph G(X) whose vertex set is G and whose edge set consists of all unordered pairs [a, b] with a, be{open}G and a-1X-1, where X-1 denotes the set {x-1|Xe{open}X}. When X is a minimal generating set or each element of X is of even order, it can be shown that G(X) is Hamiltonian iff it is edge-Hamiltonian. Hence every Cayley graph of order a power of 2 is edge-Hamiltonian. © 1988.
Source Title: Annals of Discrete Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/104503
ISSN: 01675060
DOI: 10.1016/S0167-5060(08)70768-4
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