neighborhood (of a vertex)

For a graph G, the set of vertices adjacent to a vertex xG, the neighborhoodMathworldPlanetmath of x, is denoted by Γ(x). Occasionally one calls Γ(x) the open neighborhood of x, and Γ{x} the closed neighborhood of x.

Adapted with permission of the author from Modern Graph TheoryMathworldPlanetmath by Béla Bollobás, published by Springer-Verlag New York, Inc., 1998.

Title neighborhood (of a vertex)
Canonical name NeighborhoodofAVertex
Date of creation 2013-03-22 11:58:03
Last modified on 2013-03-22 11:58:03
Owner digitalis (76)
Last modified by digitalis (76)
Numerical id 10
Author digitalis (76)
Entry type Definition
Classification msc 05C99
Synonym neighborhood
Related topic Graph