Neighborhood of graph vertices
These functions find the vertices not farther than a given limit from another fixed vertex, these are called the neighborhood of the vertex.
neighborhood.size(graph, order, nodes=V(graph), mode="all") neighborhood(graph, order, nodes=V(graph), mode="all") graph.neighborhood(graph, order, nodes=V(graph), mode="all") connect.neighborhood(graph, order, mode="all")
- The input graph.
- Integer giving the order of the neighborhood.
- The vertices for which the calculation is performed.
- Character constatnt, it specifies how to use the direction
of the edges if a directed graph is analyzed. For
outonly the outgoing edges are followed, so all vertices reachable from the source vertex in at most
The neighborhood of a given order
o of a vertex
includes all vertices which are closer to
v than the
order. Ie. order 0 is always
v itself, order 1 is
plus its immediate neighbors, order 2 is order 1 plus the immediate
neighbors of the vertices in order 1, etc.
neighborhood.size calculates the size of the neighborhoods for
the given vertices with the given order.
neighborhood calculates the neighborhoods of the given vertices
with the given order parameter.
graph.neighborhood is creates (sub)graphs from all neighborhoods of
the given vertices with the given order parameter. This function
preserves the vertex, edge and graph attributes.
connect.neighborhood creates a new graph by connecting each
vertex to all other vertices in its neighborhood.
neighborhood.sizereturns with an integer vector.
neighborhoodreturns with a list of integer vectors.
graph.neighborhoodreturns with a list of graphs.
connect.neighborhoodreturns with a new graph object.
g <- graph.ring(10) neighborhood.size(g, 0, 1:3) neighborhood.size(g, 1, 1:3) neighborhood.size(g, 2, 1:3) neighborhood(g, 0, 1:3) neighborhood(g, 1, 1:3) neighborhood(g, 2, 1:3) # attributes are preserved V(g)$name <- c("a", "b", "c", "d", "e", "f", "g", "h", "i", "j") graph.neighborhood(g, 2, 1:3) # connecting to the neighborhood g <- graph.ring(10) g <- connect.neighborhood(g, 2)