Mot A graph that contains a Hamiltonian cycle is called a Hamiltonian graph. Different usage terms may also be discussed via email. These counts assume that cycles that are the same apart from their starting point are not counted separately. This page was last edited on 3 Julyat A Hamilton maze is a type of logic puzzle in which the goal is to find the unique Hamiltonian cycle in a given graph.
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Line graphs may have other Hamiltonian cycles that do not correspond to Euler tours, and in particular the line graph L G of every Hamiltonian graph G is itself Hamiltonian, regardless of whether the graph G is Eulerian. Hamilton solved this problem using the icosian calculusan algebraic structure based on roots of unity with many similarities to the quaternions also invented by Hamilton.
Interlanguage link template link number. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. Despite being named after Hamilton, Hamiltonian cycles in polyhedra had also been studied a year earlier by Thomas Kirkmanwho, in particular, gave an example of a polyhedron without Hamiltonian cycles.
A Hamiltonian path or traceable path is a path that visits each vertex of the graph exactly once. Hamiltonicity has been widely studied with relation to various parameters such as graph densitytoughnessforbidden subgraphs and distance among other parameters. A Hamilton maze is a type of logic puzzle in which the goal is to find the unique Hamiltonian cycle in a given graph. Hamiltonian path These counts assume that cycles that are the same apart from their starting point are not counted separately.
Proporciones un enlace indicando este origen. This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. In the mathematical field of graph theorya Hamiltonian path or traceable path is a path in an undirected or directed graph that visits each vertex exactly once. Similar notions may be defined for directed graphswhere each edge arc of caimno path or cycle can only be traced in a single direction i.
Description Grafo — camino hamiltoniano. A graph that contains a Hamiltonian path is called a traceable graph. File:Grafo — camino hamiltoniano. For the question of the existence of a Hamiltonian path or cycle in a given graph, see Hamiltonian path problem.
This solution does not generalize to arbitrary graphs. All Hamiltonian graphs are biconnectedbut a biconnected graph need not be Hamiltonian see, for example, the Petersen graph. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file.
Width Height Determining whether such paths and cycles exist in graphs is the Hamiltonian path problemwhich is NP-complete. Views View Edit History. You properly credit my authorship: In other projects Wikimedia Commons. Other SVGs containing path-based text can be found at Category: A Hamiltonian cycleHamiltonian circuitvertex tour or graph cycle is a cycle that visits each vertex exactly once except for the vertex that is both the start and end, which hamiltomiano visited twice.
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Un camino hamiltoniano que sea un circuito se llama circuito hamiltoniano. Un grafo que tiene un circuito hamiltoniano se llama grafo hamiltoniano. Un ciclo dirigido hamiltoniano en un digrafo es un camino dirigido hamiltoniano que es ciclo. El grafo dirigido es digrafo hamiltoniano si contiene un ciclo dirigido hamiltoniano. Desde luego, todos los grafos hamiltonianos son conexos pero no todos los grafos conexos son hamiltonianos. Todos los grafos ciclos son hamiltonianos. Todos los campeonatos poseen caminos dirigidos hamiltonianos.
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Kigaran Hamiltonian path Line graphs may have other Hamiltonian cycles that do not correspond to Euler tours, and in particular the line graph L G of every Hamiltonian graph Canino is itself Hamiltonian, regardless of whether the graph G is Eulerian. An email notifying of the reuse would be appreciated but not required. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. I, the copyright holder of this work, hereby publish it under the following license:.