A note on the number of spanning trees of line digraphs

作者:Xu, Chuandong; Zhang, Shenggui*; Ning, Bo; Li, Binlong
来源:Discrete Mathematics, 2015, 338(5): 688-694.
DOI:10.1016/j.disc.2014.12.009

摘要

Let G be a digraph and LG be its line digraph. Levine gave a formula that relates the number of rooted spanning trees of LG and that of G, with the restriction that G has no sources. In this note, we show that this restriction can be removed, thus his formula holds for all digraphs.