graph.laplacian

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Graph Laplacian

The Laplacian of a graph.

Keywords
graphs
Usage
graph.laplacian(graph, normalized=FALSE)
Arguments
graph
The input graph.
normalized
Whether to calculate the normalized Laplacian. See definitions below.
Details

The Laplacian Matrix of a graph is a symmetric matrix having the same number of rows and columns as the number of vertices in the graph and element (i,j) is d[i], the degree of vertex i if if i==j, -1 if i!=j and there is an edge between vertices i and j and 0 otherwise.

A normalized version of the Laplacian Matrix is similar: element (i,j) is 1 if i==j, -1/sqrt(d[i] d[j]) if i!=j and there is an edge between vertices i and j and 0 otherwise.

Value

    Aliases
    • graph.laplacian
    Examples
    g <- graph.ring(10)
    graph.laplacian(g)
    graph.laplacian(g, norm=TRUE)
    Documentation reproduced from package igraph, version 0.4.4, License: GPL version 2 or later (June, 1991)

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