Result: RESONANCE GRAPHS AND A BINARY CODING FOR THE 1-FACTORS OF BENZENOID SYSTEMS
Title:
RESONANCE GRAPHS AND A BINARY CODING FOR THE 1-FACTORS OF BENZENOID SYSTEMS
Authors:
Source:
SIAM journal on discrete mathematics (Print). 22(3):971-984
Publisher Information:
Philadelphia, PA: Society for Industrial and Applied Mathematics, 2009.
Publication Year:
2009
Physical Description:
print, 33 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Algèbre, Algebra, Analyse mathématique, Mathematical analysis, Equations aux dérivées partielles, Partial differential equations, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Recherche information. Graphe, Information retrieval. Graph, Algorithme, Algorithm, Algoritmo, Application, Aplicación, Codage, Coding, Codificación, Etiquetage, Labelling, Etiquetaje, Graphe biparti, Bipartite graph, Grafo bipartido, Mathématiques discrètes, Discrete mathematics, Matemáticas discretas, Médiane, Median, Mediana, Nombre entier, Integer, Entero, Plan, Plane, Plano, Relation ordre partiel, Partial ordering, Relación orden parcial, Relation ordre, Ordering, Relación orden, Résonance, Resonance, Resonancia, Treillis, Lattice, Enrejado, Vecteur, Vector, 06Bxx, 06Dxx, 35B34, 68R10, 68Wxx, 05C12, 06C70, 06D05, 1-factor, 92E10, Z-transformation graph, benzenoid system, binary coding, distributive lattice, median graph, resonance graph
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China
Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong-Kong
Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong-Kong
ISSN:
0895-4801
Rights:
Copyright 2009 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.21787294
Database:
PASCAL Archive
Further Information
Applying the recently obtained distributive lattice structure on the set of 1-factors, we show that the resonance graphs of any benzenoid systems G, as well as of general plane (weakly) elementary bipartite graphs, are median graphs and thus extend greatly Klavžar et al.'s result. The n-dimensional vectors of nonnegative integers as a labelling for the 1-factors of G with n inner faces are described. The labelling preserves the partial ordering of the above-mentioned lattice and can be transformed into a binary coding for the 1-factors. A simple criterion for such a labelling being binary is given. In particular, Klavžar et al.'s algorithm is modified to generate this binary coding for the 1-factors of a cata-condensed benzenoid system.