publication . Preprint . 2015

On infinite regular and chiral maps

Arredondo, John A.; Valdez, Camilo Ramírez y Ferrán;
Open Access English
  • Published: 05 Jun 2015
Abstract
We prove that infinite regular and chiral maps take place on surfaces with at most one end. Moreover, we prove that an infinite regular or chiral map on an orientable surface with genus can only be realized on the Loch Ness monster, that is, the topological surface of infinite genus with one end.
Subjects
arXiv: Computer Science::DatabasesHigh Energy Physics::Lattice
free text keywords: Mathematics - Combinatorics, 52C20, 52B15
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