In this paper, the joint tree method of graph embeddings, which was introduced by Liu, is generalized to digraph embeddings. The genus distributions of a new type of digraphs in orientable surfaces are determined.
Citation
Xingkuo Li, Rongxia Hao, Jiangen Zhang. Orientable Embedding Distributions by Genus of Crossing-Digraph[J], Ars Combinatoria, Volume 106. 417-421. .