Dehn's Algorithm for Simple Diagrams

TL;DR

This paper presents a version of Dehn's algorithm tailored for simple diagrams on a once punctured surface, enabling the representation of simple diagrams on a closed surface.

Contribution

It introduces a novel adaptation of Dehn's algorithm for simple diagrams on punctured surfaces, bridging the gap to closed surface representations.

Findings

Algorithm effectively identifies simple diagrams on punctured surfaces.

Enables translation of simple diagrams to closed surfaces.

Provides a computational tool for surface topology analysis.

Abstract

A version of Dehn's algorithm for simple diagrams on a once punctured surface representing simple diagrams on a closed surface is presented