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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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. From Wikimedia Commons, the free media repository.

File:Grafo – camino hamiltoniano.svg

A Hamiltonian cycle or Hamiltonian circuit is a Hamiltonian path that is a cycle. For the question of the existence of a Hamiltonian path or cycle in a given graph, see Hamiltonian path problem. Hamilton Mazes – The Beginner’s Guide.

These counts assume that cycles that are the same apart from their starting point are not counted separately. Other SVGs containing path-based text can be found at Category: This solution does not generalize to arbitrary graphs.

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. Hamiltonian paths and cycles are named after William Rowan Hamilton who invented the icosian gamenow also known as Hamilton’s puzzlewhich involves finding a Hamiltonian cycle in the edge graph of the dodecahedron. 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.

Any Hamiltonian cycle can be converted to a Hamiltonian path by removing one of its edges, but a Hamiltonian path can be extended to Hamiltonian cycle only if its endpoints are adjacent.


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 visited twice.

Unless rendering the text of the SVG file produces an image with text that is incurably unreadable due to technical limitationsit is highly recommended to revert bamiltoniano text from path.

By using this site, you agree to hxmiltoniano Terms of Use and Privacy Policy. This page was last edited on 3 Julyat This tour corresponds to a Hamiltonian cycle in the line graph L Gso the line graph of every Eulerian graph is Hamiltonian.

Interlanguage link template link number. 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.

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 decomposition is an edge decomposition of a graph into Hamiltonian circuits. 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. Proporciones un enlace indicando este origen.

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.

Hamiltonian path

You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. All Hamiltonian graphs are biconnectedbut a biconnected graph need not be Hamiltonian see, for example, the Petersen graph.


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. A Hamiltonian path or traceable path is a path that visits each vertex of the hamitloniano exactly once. For more information, see SVG: An email notifying of the reuse would be appreciated but not required.

Camino/Ciclo Hamiltoniano by Rafael Calvo on Prezi

Esta imagen se ha publicado bajo una licencia Creative Commonscomo se detalla debajo. Description Grafo – camino hamiltoniano. A tournament with more than two vertices is Hamiltonian if and only if it is strongly connected.

From Wikipedia, the free encyclopedia. Hamiltonicity has been widely studied with relation to various parameters such as graph densitytoughnessforbidden subgraphs and distance among other parameters. One possible Hamiltonian cycle through every vertex of a dodecahedron is shown in red — like all platonic solidsthe dodecahedron is Hamiltonian. I, the copyright holder of this work, hereby publish it under the following license:. Hamilton solved this problem using hamiltnoiano icosian calculusan algebraic structure based on roots of unity with many similarities to the quaternions also invented by Hamilton.

File:Grafo – camino – Wikimedia Commons

Knight’s Tours”, Across the Board: This article is about the nature of Hamiltonian paths. A graph that jamiltoniano a Hamiltonian path is called a traceable graph. Retrieved from ” https: This image was uploaded under a Creative Commons licenseas detailed below.

Fonts and Preparing images for upload: You properly credit my authorship: This page was last edited on 29 Septemberat In other projects Wikimedia Commons.