Geometry and generation of a new graph planarity game

Rutger Kraaijer, Marc J. van Kreveld, Wouter Meulemans, André van Renssen

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Abstract

We introduce a new abstract graph game, Swap Planarity, where the goal is to reach a state without edge intersections and a move consists of swapping the locations of two vertices connected by an edge. We analyze this puzzle game using concepts from graph theory and graph drawing, computational geometry, and complexity. Furthermore, we specify quality criteria for puzzle instances, and describe a method to generate high-quality instances. We also report on experiments that show how well this generation process works.

Original languageEnglish
Pages (from-to)603-624
Number of pages22
JournalJournal of Graph Algorithms and Applications
Volume23
Issue number4
DOIs
Publication statusPublished - 2019

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