Equilateral spherical drawings of planar cayley graphs

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Abstract

In this paper, we study equilateral spherical drawings of planar Cayley graphs. We focus on the case when the underlying group is generated by two rotations. In this case, the set of equilateral drawings can be parameterized by spherical ellipses on the unit sphere. Besides, we give an explicit formula to describe the shortest equilateral spherical drawing and the longest spherical equilateral drawing. Furthermore, we studied the drawing of Schreier coset graphs arising from these equilateral drawings.

Original languageEnglish
Pages (from-to)97-119
Number of pages23
JournalJournal of Graph Algorithms and Applications
Volume25
Issue number1
DOIs
StatePublished - 2021

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