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DECOMPOSITIONS OF COMPLETE GRAPHS INTO KAYAK PADDLES
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 K<sub>2n+1</sub> is decomposable into kayak paddles with <i>n</i> edges whenever at least one of its cycles is eve.
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Journal of the Indonesian Mathematical Society ( p-ISSN:2086-8952 | e-ISSN:2460-0245) published by the Indonesian Mathematical Society (IndoMS).
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