Classification of regular maps of Euler characteristic -3p

Conder, Marston; Nedela, Roman and Siran, Jozef (2012). Classification of regular maps of Euler characteristic -3p. Journal of Combinatorial Theory, Series B, 102(4) pp. 967–981.

DOI: https://doi.org/10.1016/j.jctb.2011.11.003

Abstract

In an earlier paper by A. Breda, R. Nedela and J. Širán, a classification was given of all regular maps on surfaces of negative prime Euler characteristic. In this article we extend the classification to surfaces with Euler characteristic −3p (equivalently, to non-orientable surfaces of genus 3p +2) for all odd primes p.

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