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Triangle group representations and their applications to graphs and maps

Siran, Jozef (2001). Triangle group representations and their applications to graphs and maps. Discrete Mathematics, 229(1-3) pp. 341–358.

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The aim of this survey article is to draw the attention of the combinatorial community to representations of groups and their applications in the theory of graphs and maps. Specifically, we shall be interested in representations of the triangle groups y,z|ym=zn=(yz)2=1 in special linear groups. Applications will include constructions of highly symmetrical finite maps of arbitrarily large planar width, Hurwitz groups, vertex-transitive non-Cayley graphs, and arc-transitive graphs of given valence and given exact girth.

Item Type: Journal Article
ISSN: 0012-365X
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
Item ID: 8103
Depositing User: Jozef Širáň
Date Deposited: 14 Jun 2007
Last Modified: 14 Jan 2016 16:32
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