Non-crossing Hamiltonian Paths and Cycles in Output-Polynomial Time

We show that, for planar point sets, the number of non-crossing Hamiltonian paths is polynomially bounded in the number of non-crossing paths, and the number of non-crossing Hamiltonian cycles (polygonalizations) is polynomially bounded in the number of surrounding cycles. As a consequence, we can l...

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Bibliographic Details

Published in:	Algorithmica Vol. 86; no. 9; pp. 3027 - 3053
Main Author:	Eppstein, David
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.09.2024 Springer Nature B.V
Subjects:	Algorithm Analysis and Problem Complexity Algorithms Computer Science Computer Systems Organization and Communication Networks Convexity Data Structures and Information Theory Mathematics of Computing Polynomials Theory of Computation Output-sensitive enumeration Non-crossing Hamiltonian path Polygonalization Approximate counting
ISSN:	0178-4617, 1432-0541
Online Access:	Get full text
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