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http://arxiv.org/pdf/1301.7250...
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arXiv.org e-Print Archive
Preprint . 2013
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https://doi.org/10.1109/focs.2...
Article . 2013 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2013
License: arXiv Non-Exclusive Distribution
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https://dblp.uni-trier.de/db/j...
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The Parity of Directed Hamiltonian Cycles

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2013Embargo end date: 01 Jan 2013Publisher:IEEEJournal:2013 IEEE 54th Annual Symposium on Foundations of Computer ScienceFunded by:FCT | D4
Authors: Björklund, Andreas; Husfeldt, Thore;

doi: 10.1109/focs.2013.83 , 10.48550/arxiv.1301.7250

arXiv: http://arxiv.org/abs/1301.7250

The Parity of Directed Hamiltonian Cycles

Abstract

We present a deterministic algorithm that given any directed graph on n vertices computes the parity of its number of Hamiltonian cycles in O(1.619^n) time and polynomial space. For bipartite graphs, we give a 1.5^n poly(n) expected time algorithm. Our algorithms are based on a new combinatorial formula for the number of Hamiltonian cycles modulo a positive integer.

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Keywords

FOS: Computer and information sciences, Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
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