Acta Mathematica Vietnamica
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ON HAMILTON CYCLES IN CONNECTED TETRAVALENT METACIRCULANT GRAPHS WITH NON-EMPTY FIRST SYMBOL
NGO DAC TAN, TRAN MINH TUOCpp. 267-278
Abstract
In this paper, we show that every connected tetravalent metacirculant graph $MC(m,n,\alpha,S_0,S_1,\dots,S_{\mu})$ with $S_0\not =\emptyset$ possesses a Hamilton cycle if $m = 1$ or $2$ or $m > 2$ and both $m$ and $n$ are odd.