On the noncommuting graph associated with a finite group
β Scribed by A. R. Moghaddamfar; W. J. Shi; W. Zhou; A. R. Zokayi
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2005
- Tongue
- English
- Weight
- 203 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
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Lorenzini, D.J., A finite group attached to the laplacian of a graph, Discrete Mathematics 91 (1991) 277-282. Let F = diag(cp,, . , r~\_, , 0), 91, 1 t . 1 q, ~, , denote the Smith normal form of the laplacian matrix associated to a connected graph G on n vertices. Let h denote the cardinal of the
We develop a graph-theoretic analogue of the Jacobian torus, which is defined, for a finite graph X, as the torus H 1 X R /H 1 X Z with a natural flat metric. It is observed that this notion, especially the volume of Jacobian tori, appears in many contexts of graph theory.