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On the volume of 4-cycle trades

Bryant, Darryn; Grannell, Mike; Griggs, Terry and Maenhaut, Barbara (2003). On the volume of 4-cycle trades. Graphs and Combinatorics, 19(1) pp. 53–63.

DOI (Digital Object Identifier) Link: http://doi.org/10.1007/s00373-002-0484-x
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Abstract

A 4-cycle trade of volume t corresponds to a simple graph G without isolated vertices, where the edge set can be partitioned into t 4-cycles in at least two different ways such that the two collections of 4-cycles have no 4-cycles in common. The foundation of the trade is v=|V(G)|. This paper determines for which values of t and v there exists a 4-cycle trade of volume t and foundation v.

Item Type: Journal Article
ISSN: 0911-0119
Academic Unit/Department: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 2905
Depositing User: Terry Griggs
Date Deposited: 20 Jun 2006
Last Modified: 04 Oct 2016 09:48
URI: http://oro.open.ac.uk/id/eprint/2905
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