Understanding Intelligent and Complex Systems 1 INTRODUCTION ON THE INFORMATION CONTENT OF WEIGHTED CHEMICAL STRUCTURES

To characterize molecule structures by using informationtheoretic techniques is an interesting and challenging problem in mathematical chemistry. However, most of the classical information indices are only defined for characterizing the skeletons of chemical graphs that correspond to unweighted graphs. This work presents a possible extension of an information measure that was recently developed to determine the structural information content of unweighted graphs. The novel measure then takes edge and vertex labels into account when measuring the information content of a weighted network.