SOLUTIONS

Mathematica
>
Mathematics and Algorithms
>
Graphs & Networks
>
Graph Operations and Modifications
>
NeighborhoodGraph
BUILTIN MATHEMATICA SYMBOL
NeighborhoodGraph
NeighborhoodGraph[g, v]
gives the graph neighborhood of a vertex v in the graph g.
NeighborhoodGraph[g, {a_{1}, a_{2}, ...}]
gives the graph neighborhood of the that can be vertices, edges, or subgraphs of g.
NeighborhoodGraph[g, patt]
gives the graph neighborhood of the vertices and edges that match the pattern patt.
NeighborhoodGraph[g, ..., d]
gives the neighborhood up to distance d.
Details and OptionsDetails and Options
 The neighborhood graph for a vertex v is given by vertices adjacent to v and the edges connecting them.
 The neighborhood graph for an edge e is the neighborhood graph for the vertices of e.
 The neighborhood graph for a subgraph h is the neighborhood graph for the vertices in h.
 The neighborhood graph at distance d is the neighborhood graph for the vertices of the neighborhood graph at distance d1.
 The default value for d is .
New in 8
Mathematica 9 is now available!
New to Mathematica?
Find your learning path »
Have a question?
Ask support »