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Hamiltonian path

In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a cycle that visits each vertex exactly once. A Hamiltonian path that starts and ends at adjacent vertices can be completed by adding one more…

Art, Bondy–Chvátal theorem & Examples

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Examples

Properties

Bondy–Chvátal theorem

The Hamiltonian cycle polynomial

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Hamiltonian path

Nodes70
Edges69
Triples31
Avg. degree1.97
Density0.028571
Components1

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Hamiltonian path

Top relations

see also · 12
Hamiltonian path → Barnette's, Eulerian, Hamiltonian, Hamiltonian-connectednessSeven Bridges, HamiltonianKnight's, HamiltonianPancyclic, HamiltonianTravelling, Hamiltonicity, Johnson, KönigsbergShortness, Lovász, Trotter
related to Examples · 9
Hamiltonian path → Cayley, Coxeter, Every, Hamiltonian, HamiltonianEvery, HamiltonianThe Cayley, Lovász, Rédei, The
related to Properties · 4
Hamiltonian path → All Hamiltonian, Any Hamiltonian, Hamiltonian, Petersen
related to Definitions · 2
Hamiltonian path → Hamiltonian, Hamiltonian-connected

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Important terminology

hamiltonian graph cycle path cycles graphs vertices vertex theorem hamilton every edge also paths tour exactly planar eulerian degree simple

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
graph densityinstance ofHamiltonicity has been widely studied with relation to various parameters0.80text
toughnessinstance ofHamiltonicity has been widely studied with relation to various parameters0.80text
forbidden subgraphsinstance ofHamiltonicity has been widely studied with relation to various parameters0.80text
distance among other parametersinstance ofHamiltonicity has been widely studied with relation to various parameters0.80text
Hamiltonian pathrelated to DefinitionsHamiltonian0.60section
Hamiltonian pathrelated to DefinitionsHamiltonian-connected0.60section
Hamiltonian pathrelated to ExamplesHamiltonianEvery0.60section
Hamiltonian pathrelated to ExamplesHamiltonian0.60section
Hamiltonian pathrelated to ExamplesRédei0.60section
Hamiltonian pathrelated to ExamplesEvery0.60section
Hamiltonian pathrelated to ExamplesHamiltonianThe Cayley0.60section
Hamiltonian pathrelated to ExamplesCoxeter0.60section

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