Neighborhood properties of graphs
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Neighborhood properties of graphs
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In graph theory, an adjacent vertex of a vertex v in a graph is a vertex that is connected to v by an edge. The neighbourhood of a vertex v in a graph G is the subgraph of G induced by all vertices adjacent to v, i.e., the graph composed of the vertices adjacent to v and all edges connecting vertices adjacent to v. The neighbourhood is often denoted or (when the graph is unambiguous) . Th… WebWe discuss neighborhoods in the context of directed graphs. This requires that we split the concept of "neighborhood" in two, since a vertex v could be adjac...
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