Genus of complement of zerodivisor graph for residue class modulo n
1.School of Mathematical Sciences, Guangxi Teachers Education University, Nanning, Guangxi 530023, China; 2.Department of Mathematics and Statistics, Memorial University of Newfoundland, Newfoundland, A1C5S7, Canada; 3.School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212003, China
Abstract： The genus of complement of zerodivisor graph for residue class modulo n was investigated. According to the prime numbers of n, the genus formulae of complete graph and complete bipartite graph, lower bound of genus graphs and some embedding technique, the genus of complement of zerodivisor graph of residue class modulo n was proved not more than 5 if and only if n equalled to 6,8,10,12,14,15,16,18,20,21,22,27,33,35,55,77,p2. The p meant prime. The classification was completely realized when the genera of complement of zerodivisor graph for residue class modulo n were 0,1,2,3,4,5, respectively.
2013, Vol. 34 
