Journal of Applied Mathematics
Volume 2013 (2013), Article ID 823769, 5 pages
Research Article

Invariants for Weighted Digraphs under One-Sided State Splittings

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Received 7 February 2013; Accepted 9 April 2013

Academic Editor: Md Sazzad Chowdhury

Copyright © 2013 Sheng Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Using Matrix-Forest theorem and Matrix-Tree theorem, we present some invariants for weighted digraphs under state in-splittings or out-splittings.