Planar width of regular maps

Mačaj, Martin; Širáň, Jozef and Ipolyiová, Mária (2007). Planar width of regular maps. Electronic Notes in Discrete Mathematics, 28, pp. 477–484.

DOI: https://doi.org/10.1016/j.endm.2007.01.070

Abstract

We use representations of triangle groups in linear groups over algebras arising from factor rings of multivariate polynomial rings to substantially improve the existing upper bounds on the size of regular maps of a given type with a given planar width.

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