Title
Path Puzzles: Discrete Tomography with a Path Constraint is Hard
Abstract
We prove that path puzzles with complete row and column information—or equivalently, 2D orthogonal discrete tomography with Hamiltonicity constraint—are strongly NP-complete, ASP-complete, and #P-complete. Along the way, we newly establish ASP-completeness and #P-completeness for 3-Dimensional Matching and Numerical$$3$$-Dimensional Matching.
Year
DOI
Venue
2020
10.1007/s00373-019-02092-5
Graphs and Combinatorics
Keywords
DocType
Volume
Discrete tomography, ASP-completeness, #P-completeness, 3-Dimensional Matching , Numerical 3-Dimensional Matching
Journal
36
Issue
ISSN
Citations 
2
0911-0119
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Jeffrey Bosboom11177.70
Erik D. Demaine24624388.59
Martin L. Demaine359284.37
Adam Hesterberg401.01
Roderick Kimball500.34
Justin Kopinsky6395.23