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Hamiltonian path problem

The Hamiltonian path problem is a topic discussed in the fields of complexity theory and graph theory. It decides if a directed or undirected graph, G, contains a Hamiltonian path, a path that visits every vertex in the graph exactly once. The problem may specify the start and end of the path, in which case the starting vertex s and ending vertex t must…

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Overview

Reductions

Algorithms

Complexity

Polynomial time verifier

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Hamiltonian path problem

Nodes68
Edges67
Triples39
Avg. degree1.97
Density0.029412
Components1

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Hamiltonian path problem

Top relations

has method · 8
Hamiltonian path problem → An, Because, DNA, Exploiting, For, Hamiltonian, Leonard Adleman, The
related to Networks on chip · 7
Hamiltonian path problem → Hamiltonian, Networks, NoC, Path-based, The, The Hamiltonian Path, Utilizing
related to Polynomial time verifier · 7
Hamiltonian path problem → Additionally, For, Hamiltonian, Hamiltonian Path, NP, The, The Hamiltonian
related to Boolean satisfiability · 6
Hamiltonian path problem → As, Hamiltonian, Hamiltonian Path, NP-Complete, SAT, The Hamiltonian
related to Reduction from the path problem to the cycle problem · 5
Hamiltonian path problem → Hamiltonian, In, The, The Hamiltonian, Thus
related to References · 4
Hamiltonian path problem → Hamiltonian, Media, Wikimedia Commons, Wiktionary-logo-en-v2
is a · 1
Hamiltonian path problem → topic discussed in the fields of complexity theory and graph theory

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Important terminology

hamiltonian path problem cycle graph algorithm vertices time vertex one np-complete problems finding graphs may start polynomial search must also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Hamiltonian path problemis atopic discussed in the fields of complexity theory and graph theory0.90text
this oneinstance ofPapadimitriou defined the complexity class PPA to encapsulate problems0.80text
Hamiltonian path problemhas methodBecause0.60section
Hamiltonian path problemhas methodHamiltonian0.60section
Hamiltonian path problemhas methodFor0.60section
Hamiltonian path problemhas methodLeonard Adleman0.60section
Hamiltonian path problemhas methodDNA0.60section
Hamiltonian path problemhas methodExploiting0.60section
Hamiltonian path problemhas methodAn0.60section
Hamiltonian path problemhas methodThe0.60section
Hamiltonian path problemrelated to Boolean satisfiabilityHamiltonian0.60section
Hamiltonian path problemrelated to Boolean satisfiabilitySAT0.60section

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