Nonorientable genera of Petersen powers

Citation
Liu, Wen Zhong et al., Nonorientable genera of Petersen powers, Acta mathematica Sinica. English series (Print) , 31(4), 2015, pp. 557-564
ISSN journal
14398516
Volume
31
Issue
4
Year of publication
2015
Pages
557 - 564
Database
ACNP
SICI code
Abstract
In the paper, we prove that for every integer n . 1, there exists a Petersen power P n 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 P n exists with nonorientable genus and Euler genus precisely k.