Chen, Yi Chao et al., The Total Embedding Distributions of Cacti and Necklaces, Acta mathematica Sinica. English series (Print) , 22(5), 2006, pp. 1583-1590
Total embedding distributions have been known for only a few classes of graphs. In this paper the total embedding distributions of the cacti and the necklaces are obtained. Furthermore we obtain the total embedding distributions of all graphs with maximum genus 1 by using the method of this paper.