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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This media file is uncategorized. A graph that contains a Hamiltonian path is called a traceable graph.

### Hamiltonian path – Wikipedia

Antonio78 at Italian Wikipedia. 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. Interlanguage link template link number.

A Hamiltonian path or traceable path is a path that visits each vertex of the graph exactly once. A Hamiltonian cycle or Hamiltonian circuit is a Hamiltonian path that is a cycle. By using this site, you agree to the Terms of Use and Privacy Policy. From Wikimedia Commons, the free media repository.

Views Read Edit View history. 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 hmailtoniano Hamiltonian cycles.

## Hamiltonian path

Retrieved 27 May Public domain Public domain false false. 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.

Knight’s Tours”, Across the Board: Files moved from it.

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. Retrieved from ” https: A cjrcuito is Hamiltonian-connected if for every pair of vertices there is a Hamiltonian path between the two vertices. 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.

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A Hamiltonian decomposition is an edge decomposition of a graph into Hamiltonian circuits. Similar notions may be defined for directed hamiltnianowhere each edge arc of a path or cycle can only be traced in a single direction i. Once the review has been completed, this template should be removed. All source information is still present.

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.

Retrieved from ” https: File File history File usage on Commons No higher resolution available. Archived from the original on 16 April One possible Hamiltonian cycle through every vertex of a dodecahedron is shown in red — like hamilotniano platonic solidsthe dodecahedron is Hamiltonian. A graph that contains a Hamiltonian cycle is called a Hamiltonian graph. Antonio78 grants anyone the right to use this work for any purposewithout any conditions, unless such conditions are required by law.

This page was last edited on 29 Septemberat The original description page was here. The above theorem can only recognize the existence of a Hamiltonian path in ciecuito graph and not a Hamiltonian Cycle.

### CIRCUITO HAMILTONIANO| Definition – Esri Support GIS Dictionary

In the mathematical hqmiltoniano of graph theorya Hamiltonian path or traceable path is a path in an undirected or directed graph that visits each vertex exactly once. A tournament with more than two vertices is Hamiltonian if hamiltonian only if it is strongly connected. Hamiltonicity has been widely studied with relation to various parameters such as graph densitytoughnessforbidden subgraphs and distance among other parameters.

All Hamiltonian graphs are biconnectedbut a biconnected graph need not be Hamiltonian see, for example, the Petersen graph.