Un grafo que contiene un camino hamiltoniano se denomina un ciclo hamiltoniano ó circuito hamiltoniano si es un ciclo que visita cada vértice exactamente una. GIS Dictionary. GIS Dictionary. Look up terms related to GIS operations, cartography, and Esri technology. Cancel. Keyword Suggestions. Press esc to cancel. This site contains the assignments and projects for COMP Computer Graphics.

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Views View Edit History. PD-user All media needing categories as of The above theorem can only recognize the existence of a Hamiltonian path in a graph and not a Hamiltonian Cycle. Please help improve this media file by adding it to one or more categories, so it may be associated with related media files how?

By using this site, you agree to the Terms of Use and Privacy Policy. Hamilltoniano grants anyone the right to use this work for any purposewithout any conditions, unless such conditions are required by law. 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.

### Circuito Eureliano y Hamiltoniano – eporfolioMariaToledo

This solution does not generalize to arbitrary graphs. A Hamiltonian decomposition is an edge decomposition of a graph into Hamiltonian circuits.

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

Interlanguage link template link number. An Eulerian graph G a connected graph in which every vertex has even degree necessarily has circuitto Euler tour, a closed walk passing through each edge of G exactly once.

A Hamilton maze is a type of logic puzzle in which the goal is to find the unique Hamiltonian cycle in a given graph. This media file is uncategorized. 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.

From Wikipedia, the free encyclopedia. As complete graphs are Hamiltonian, all graphs whose closure is complete are Hamiltonian, which hamlltoniano the hamiltnoiano of the following earlier theorems by Dirac and Ore. One possible Hamiltonian cycle through every vertex of a dodecahedron is shown in red — like all platonic solidsthe dodecahedron is Hamiltonian. A graph is Hamiltonian-connected if for every pair of vertices there is a Hamiltonian path between the two vertices.

In other hamiltoinano Wikimedia Commons. This file was moved to Wikimedia Commons from it. The number of vertices must be doubled because each undirected edge corresponds to two directed arcs and thus the degree of a vertex in the directed graph is twice the degree in the undirected graph.

## Hamiltonian path

Once the review has been completed, this template should be removed. This page was last edited on 23 Marchat File File history File usage on Commons No higher resolution available. For the question of the existence of a Hamiltonian path or cycle in a given graph, see Hamiltonian path problem. Additionally, there may be errors in any or all of the information fields; information on this file should not be considered reliable and the file should not be used until it has been reviewed and any needed corrections have been made.

A tournament with more than two vertices is Hamiltonian if and only if it is strongly connected. For details about this file, see below. Archived from the original on 16 April Antonio78 at Italian Wikipedia.

Grafo con circuito hamiltoniano. This work has been released into the public domain by its author, Antonio78 at Italian Wikipedia.

Grafo con evidenziato un circuito hamiltoniano. Please link images File: 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. A Hamiltonian cycle or Hamiltonian circuit is a Hamiltonian path that is a cycle.

## File:Grafo con circuito hamiltoniano.png

In the mathematical field of graph theorya Hamiltonian path or traceable path is a path in an undirected or directed graph that hamiltoniank each vertex exactly once. Views Read Edit View history. In some countries this may not be legally possible; if so: From Wikimedia Commons, the free media repository.