Paths and walks in acyclic structures: Plerographs versus kenographs

Abstract

The relationship between the plerographs and kenographs (called by Cayley plerograms and kenograms) representing acyclic structures, exemplified by octanes, is studied via paths and walks. It is found that the relationship for the net numbers of walks is approximately linear. This result in conjuction with several related reports in the literature supports the exclusive use of kenographs for acyclic structures in modern chemical graph theory. ©ARKAT.