Mar 20, The file size of this SVG image may be irrationally large because most or all of its text has been converted to paths rather than using the more. cawiki Camí hamiltonià; cswiki Hamiltonovská cesta; dawiki Hamiltonkreds; dewiki Hamiltonweg; enwiki Hamiltonian path; eswiki Camino hamiltoniano; etwiki. (e)- Camino hamiltoniano: a barb2right f barb2right k barb2right l barb2right g barb2right b barb2right c barb2right h barb2right m barb2right n barb2right i.

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### Camino/Ciclo Hamiltoniano by Rafael Calvo on Prezi

By using this site, you agree to the Terms of Use and Privacy Policy. Hamiltonian paths and cycles are named after William Rowan Hamilton who invented cqmino icosian gamenow also known as Hamilton’s puzzlewhich involves finding a Hamiltonian cycle in the edge graph of the dodecahedron.

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## Hamiltonian path

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. 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.

From Wikipedia, the free encyclopedia. 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.

Barnette’s conjecturean open problem on Hamiltonicity of cubic bipartite polyhedral graphs Eulerian patha path through all edges in a graph Fleischner’s theoremon Hamiltonian squares of graphs Grinberg’s theorem giving a necessary condition for planar graphs to have a Hamiltonian cycle Hamiltonian path problemthe computational problem of finding Hamiltonian paths Hypohamiltonian grapha non-Hamiltonian graph in which every vertex-deleted subgraph is Hamiltonian Knight’s toura Hamiltonian cycle in the knight’s graph LCF notation for Hamiltonian cubic graphs.

As complete graphs are Hamiltonian, all graphs whose closure is complete are Hamiltonian, which is the content of the following earlier theorems by Dirac and Ore. 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. In other projects Wikimedia Commons.

Archived from the original on 16 April Similar notions may be defined for directed graphswhere each edge arc of a path or cycle can only be traced in a single direction i. For the question of the existence of a Hamiltonian path or cycle in a given graph, see Hamiltonian path problem.

Determining whether such paths and cycles exist in graphs is the Hamiltonian path problemwhich is NP-complete. From Wikimedia Commons, the free media repository. Retrieved 27 May This article is about the nature of Hamiltonian paths.

A graph that contains a Hamiltonian path is called a traceable graph. 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 is caminoo twice. You properly credit my authorship: Many of these results have analogues for balanced bipartite graphsin which the vertex degrees are compared to the number of vertices on a single side of the bipartition rather than the number of vertices in the whole graph.

Views Read Edit View history. This page was last edited on 29 Septemberat A graph that contains a Hamiltonian cycle is called a Hamiltonian graph. This page was last edited on 3 Julyat Knight’s Tours”, Across the Board: This tour corresponds to a Hamiltonian cycle in the line graph L Gso the line graph of every Eulerian graph is Hamiltonian.

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Doing so will ease hamiltoniiano process for localizing this image to other languages and is likely to greatly reduce the file size.

Retrieved from ” https: Hamilton Mazes – The Beginner’s Guide. These counts assume that cycles that are the same apart from their starting point are not counted separately. A Hamilton maze is a type of logic puzzle in which the goal is to find the unique Hamiltonian cycle in a given graph.

A Hamiltonian decomposition is an edge decomposition of a graph into Hamiltonian circuits. Description Grafo – camino hamiltoniano. Spanish graph theory glossary. 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. Fonts and Preparing images for upload: