Properties of 2-Semi-Isomorphic Graphs and Their Applications: Active Network Analysis

Abstract

Two‐semi‐isomorphic graphs are defined by extending Whitney's concept of 2‐isomorphic graphs. The properties of these newly defined graphs are then investigated. The discussion leads to the derivation of a simple formula for the determination of the sign of a tree product which is common to two 2‐semi‐isomorphic graphs. The formula is then applied to the topological analysis of mutually coupled active networks.