Resonance graphs of catacondensed even ring systems are median
type: Item
instance of: scholarly article
title: Resonance graphs of catacondensed even ring systems are median
zbMATH Open document ID: 1003.05098
DOI: 10.1016/S0012-365X(01)00447-2
author: Sandi Klavžar
author: Gunnar Brinkmann
author: Petra Žigert
published in: Discrete Mathematics
publication date: 2002-08-29T00:00:00Z
review text: The authors consider cers, which are planar graphs consisting of even ring systems whose inner dual is a tree. This class of graphs is of interest to chemical graph theory. Motivated by the resonance graph of Kekulé structures the authors introduce a resonance graph \(R(G)\) for a cers \(G\). The vertices of \(R(G)\) correspond to the 1-factors of \(G\). They are connected by an edge if their symmetric difference is the edge set of a bounded face of \(G\). The main result of the paper is that the resonance graph of a cers is a median graph.
reviewed by: Reinhard Laue
Mathematics Subject Classification ID: 05C90
Mathematics Subject Classification ID: 92E10
Mathematics Subject Classification ID: 05C70
zbMATH DE Number: 1792440
zbMATH Keywords: resonance graph
zbMATH Keywords: Kekulé structures
zbMATH Keywords: median graph
MaRDI profile type: Publication
full work available at URL: s0012-365x(01)00447-2
OpenAlex ID: W2044329792
description: scientific article; zbMATH DE number 1792440