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Nonorientable Genera of Petersen Powers

         

摘要

In the paper, we prove that for every integer n ≥ 1, there exists a Petersen power Pn with nonorientable genus and Euler genus precisely n, which improves the upper bound of Mohar and Vodopivec's result [J. Graph Theory, 67, 1–8(2011)] that for every integer k(2 ≤ k ≤ n- 1), a Petersen power Pnexists with nonorientable genus and Euler genus precisely k.

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