Published October 15, 2009 | Version v1
Journal article

Fundamental group of dual graphs and applications to quantum space time

  • 1. Department of Mathematics, Faculty of Science, Minoufya University (Egypt)
  • 2. Department of Basic Sciences, Faculty of Industrial Education, Beni-Suef (Egypt)

Description

Let G be a connected planar graph with n vertices and m edges. It is known that the fundamental group of G has 1 -(n - m) generators. In this paper, we show that if G is a self-dual graph, then its fundamental group has (n - 1) generators. We indicate that these results are relevant to quantum space time.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2009.01.015

Additional details

Identifiers

DOI
10.1016/j.chaos.2009.01.015;
PII
S0960-0779(09)00017-4;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
42
Journal Issue
1
Journal Page Range
p. 500-503
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41020436
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
GRAPH THEORY; GROUP THEORY; SPACE-TIME
Descriptors DEC
MATHEMATICS

Optional Information

Copyright
Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.