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DEFINICION

Planaridad

TermDefinition
Grafo plano Un grafo es plano si puede dibujarse en el plano de modo que sus aristas se intersequen solo en los vertices de G. ι : G → S (funcion inmersion en el plano)
Region Cuando realizamos la inmersion plana de un grafo G el plano queda dividido en regiones contiguas llamadas caras o simplemente regiones.
Homeomorfismo Dos grafos G y H son homeomorfos si son isomorfos o si ambos pueden obtenerse del mismo grafo por una sucecion de subdivisiones elementales: - Subdivision elemental de una arista - Remover debilmente un vertice
Aristas Inseparables Sea H un subgrafo de un grafo conexo G. Dos aristas e1 y e2 del conjunto de aristas de EG − EH son inseparables por H si existe un camino en G que contiene ambas aristas pero cuyos vertices internos no estan en H.
Apendice de H Sea H un subgrafo de un grafo G. Entonces un apendice de H es el subgrafo inducido sobre una clase de equivalencia de aristas de EG − EH bajo la relacion de inseparables.
Created by: procer
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