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  • Topological inductive constructions for tight surface graphs

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Topological inductive constructions for tight surface graphs

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<mark>Journal publication date</mark>6/07/2022
<mark>Journal</mark>Graphs and Combinatorics
Publication StatusAccepted/In press
<mark>Original language</mark>English

Abstract

We investigate properties of sparse and tight surface graphs. In particular we
derive topological inductive constructions for (2, 2)-tight surface graphs in the case of the sphere, the plane, the twice punctured sphere and the torus. In the case of the torus we identify all 116 irreducible base graphs and provide a geometric application involving contact graphs of configurations of circular arcs.