Title
PSPACE-complete two-color planar placement games
Abstract
We show that the classic placement games Col and Snort are PSPACE-complete, resolving an open question of Schaefer (1978). We then show the related placement games Fjords and NoGo PSPACE-complete on planar graphs. All but NoGo are shown hard by reductions from Bounded 2-Player Constraint Logic; we then reduce Col to NoGo. The only previous complexity results for these games were that Col and Snort played on general graphs are PSPACE-complete, and NoGo is NP-hard on general graphs.
Year
DOI
Venue
2019
10.1007/s00182-018-0628-8
International Journal of Game Theory
Keywords
Field
DocType
Complexity,PSPACE,Combinatorial game
Discrete mathematics,Graph,Mathematical economics,PSPACE-complete,Planar,PSPACE,Mathematics,Planar graph,Bounded function
Journal
Volume
Issue
ISSN
48
2
1432-1270
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Kyle Burke100.68
Robert A. Hearn216920.52