Geometry and Generation of a New Graph Planarity Game
Journal of graph algorithms and applications, Tome 23 (2019) no. 4, pp. 603-624
Cet article a éte moissonné depuis la source Journal of Graph Algorythms and Applications website
We introduce a new abstract graph game, ${\rm S{\small WAP} P{\small LANARITY}}$, 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.
Keywords:
planarity, graphs, puzzle games, puzzle complexity, instance generation
@article{JGAA_2019_23_4_a0,
author = {Rutger Kraaijer and Marc van Kreveld and Wouter Meulemans and Andr\'e van Renssen},
title = {Geometry and {Generation} of a {New} {Graph} {Planarity} {Game}},
journal = {Journal of graph algorithms and applications},
pages = {603--624},
year = {2019},
volume = {23},
number = {4},
doi = {10.7155/jgaa.00504},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00504/}
}
TY - JOUR AU - Rutger Kraaijer AU - Marc van Kreveld AU - Wouter Meulemans AU - André van Renssen TI - Geometry and Generation of a New Graph Planarity Game JO - Journal of graph algorithms and applications PY - 2019 SP - 603 EP - 624 VL - 23 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00504/ DO - 10.7155/jgaa.00504 LA - en ID - JGAA_2019_23_4_a0 ER -
%0 Journal Article %A Rutger Kraaijer %A Marc van Kreveld %A Wouter Meulemans %A André van Renssen %T Geometry and Generation of a New Graph Planarity Game %J Journal of graph algorithms and applications %D 2019 %P 603-624 %V 23 %N 4 %U http://geodesic.mathdoc.fr/articles/10.7155/jgaa.00504/ %R 10.7155/jgaa.00504 %G en %F JGAA_2019_23_4_a0
Rutger Kraaijer; Marc van Kreveld; Wouter Meulemans; André van Renssen. Geometry and Generation of a New Graph Planarity Game. Journal of graph algorithms and applications, Tome 23 (2019) no. 4, pp. 603-624. doi: 10.7155/jgaa.00504
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