Checkerboard Colourable Twuals  

作　　者：Qi YAN Xian An JIN 

机构地区：[1]School of Mathematics,China University of Mining and Technology,Xuzhou,221116,P.R.China [2]School of Mathematical Sciences,Xiamen University,Xiamen,361005,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第3期612-622,共11页数学学报（英文版）

基　　金：Supported by NSFC(Grant Nos.12171402,12101600);the Fundamental Research Funds for the Central Universities(Grant Nos.20720190062,2021QN1037)。

摘　　要：In this article we show that any embedded graph has a checkerboard colourable twual,which is equivalent to having a bipartite twual.We also obtain that any Eulerian embedded graph has a checkerboard colourable partial Petrial,answering questions posed by Ellis-Monaghan and Moffatt[Trans.Amer.Math.Soc.,364,1529–1569(2012)].

关 键 词：Embedded graphs twuals twisted dual partial duality petrie dual medial graphs direction checkerboard colourable 

分 类 号：O157.5[理学—数学]