Hamiltonian cycles in n-extendable graph
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Ken-ichi Kawarabayashi; Katsuhiro Ota; Akira Saito
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Article
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2002
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John Wiley and Sons
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English
β 88 KB
## Abstract A graph __G__ of order at least 2__n__+2 is said to be __n__βextendable if __G__ has a perfect matching and every set of __n__ independent edges extends to a perfect matching in __G__. We prove that every pair of nonadjacent vertices __x__ and __y__ in a connected __n__βextendable graph