%0 Journal Article %T Fundamental Cycles and Graph Embeddings %A Han Ren %A Hongtao Zhao %A Haoling Li %J Mathematics %D 2008 %I arXiv %R 10.1007/s11425-009-0041-7 %X In this paper we present a new Good Characterization of maximum genus of a graph which makes a common generalization of the works of Xuong, Liu, and Fu et al. Based on this, we find a new polynomially bounded algorithm to find the maximum genus of a graph. %U http://arxiv.org/abs/0807.1652v1