Construction and enumeration of regular maps on the torus

Amos Altshuler

doi:10.1016/S0012-365X(73)80002-0

Construction and enumeration of regular maps on the torus

Amos Altshuler

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

68 Scopus citations

Abstract

A construction is given for all the regular maps of type {3, 6} on the torus, with vvertices, v being any integer > 0. We also find bounds for the number of those maps, in particular for the case in which the maps contain "normal" Hamiltonian circuits. Using duality, the results may be applied for the maps of type {6, 3} too.

Original language	English
Pages (from-to)	201-217
Number of pages	17
Journal	Discrete Mathematics
Volume	4
Issue number	3
DOIs	https://doi.org/10.1016/S0012-365X(73)80002-0
State	Published - 1 Jan 1973

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/S0012-365X(73)80002-0

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title = "Construction and enumeration of regular maps on the torus",

abstract = "A construction is given for all the regular maps of type {3, 6} on the torus, with vvertices, v being any integer > 0. We also find bounds for the number of those maps, in particular for the case in which the maps contain {"}normal{"} Hamiltonian circuits. Using duality, the results may be applied for the maps of type {6, 3} too.",

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N2 - A construction is given for all the regular maps of type {3, 6} on the torus, with vvertices, v being any integer > 0. We also find bounds for the number of those maps, in particular for the case in which the maps contain "normal" Hamiltonian circuits. Using duality, the results may be applied for the maps of type {6, 3} too.

AB - A construction is given for all the regular maps of type {3, 6} on the torus, with vvertices, v being any integer > 0. We also find bounds for the number of those maps, in particular for the case in which the maps contain "normal" Hamiltonian circuits. Using duality, the results may be applied for the maps of type {6, 3} too.

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Construction and enumeration of regular maps on the torus

Abstract

ASJC Scopus subject areas

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