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math.CO2024
Chiral maps of given hyperbolic type on
Olivia Reade
This paper proves the existence of a chiral map with alternating automorphism group for every hyperbolic type. We present a set of constructions using permutations for when at leas…
math.CO2020
Classifying edge-biregular maps of negative prime Euler characteristic
Olivia Jeans, Jozef Širáň
An edge-biregular map arises as a smooth normal quotient of a unique index-two subgroup of a full triangle group acting with two edge-orbits. We give a classification of all finite…
math.CO2020★ 1 cited
Introducing edge-biregular maps
Olivia Reade Jeans
We introduce the concept of alternate-edge-colourings for maps, and study highly symmetric examples of such maps. Edge-biregular maps of type occur as smooth normal quotien…