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Leah Tollefson
University of Minnesota
Mathematics

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DECOMPOSITIONS OF COMPLETE GRAPHS INTO KAYAK PADDLES Froncek, Dalibor; Tollefson, Leah
Journal of the Indonesian Mathematical Society Special Edition, Year 2011
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.0.0.17.39-44

Abstract

A canoe paddle is a cycle attached to an end-vertex of a path. It was shown by Truszczynski that all canoe paddles are graceful and therefore decompose complete graphs. A kayak paddle is a pair of cycles joined by a path. We prove that the complete graph Ksub2n+1/sub is decomposable into kayak paddles with in/i edges whenever at least one of its cycles is eve.DOI : http://dx.doi.org/10.22342/jims.0.0.17.39-44
Co-Authors Dalibor Froncek