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GraphTheory[MakeWeighted]
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Calling Sequence
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MakeWeighted(G)
MakeWeighted(G, M)
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Parameters
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G
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unweighted graph
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M
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(optional) Matrix
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Description
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The MakeWeighted command returns a graph with vertices and edges from G. If M is part of the input, then the edge weights are taken from it; otherwise edge weights are assumed to be 1. If G is undirected, then M is assumed to be a symmetric matrix.
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For efficiency, use datatype=integer for wordsize integer weights and datatype=float[8] for numerical (decimal) edge weights.
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Examples
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| (1) |
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![M := Matrix([[0, 2, 3], [2, 0, 1], [3, 1, 0]])](/support/helpjp/helpview.aspx?si=6097/file01851/math93.png)
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![M := Matrix([[0, 2, 3], [2, 0, 1], [3, 1, 0]])](/support/helpjp/helpview.aspx?si=6097/file01851/math96.png)
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| (3) |
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| (4) |
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![Matrix([[0, 2, 3], [2, 0, 1], [3, 1, 0]])](/support/helpjp/helpview.aspx?si=6097/file01851/math117.png)
| (5) |
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![M := Matrix(M, datatype = float[8], shape = symmetric)](/support/helpjp/helpview.aspx?si=6097/file01851/math121.png)
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![M := Matrix([[0., 2., 3.], [2., 0., 1.], [3., 1., 0.]])](/support/helpjp/helpview.aspx?si=6097/file01851/math124.png)
| (6) |
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| (7) |
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![Matrix([[0., 2., 3.], [2., 0., 1.], [3., 1., 0.]])](/support/helpjp/helpview.aspx?si=6097/file01851/math138.png)
| (8) |
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