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GraphTheory[AddEdge]
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Calling Sequence
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AddEdge(G, E)
AddEdge(G, E, ip)
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Parameters
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G
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undirected graph
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E
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edge, trail or set of edges
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ip
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equation of the form inplace=true or false (optional)
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Description
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The AddEdge command adds one or more edges to an undirected graph. By default, the original graph is changed to a graph containing the specified set of edge(s). By setting inplace=false the original graph remains unchanged and a new graph containing the specified set of edges is created.
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If the graph is weighted, then a weighted edge can be added by calling AddEdge with one or more edges in the form ![[edge, weight]](/support/helpjp/helpview.aspx?si=6010/file01770/math81.png) , where the edge is just the set of two vertices, and the weight represents the value of the edge weight.
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Examples
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![Gw := Graph(Matrix([[0, 1, 1, 0], [1, 0, 0, 1], [1, 0, 0, 0], [0, 1, 0, 0]]), 'weighted')](/support/helpjp/helpview.aspx?si=6010/file01770/math137.png)
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![{[{1, 2}, 1], [{1, 3}, 1], [{2, 4}, 1]}](/support/helpjp/helpview.aspx?si=6010/file01770/math147.png)
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![AddEdge(Gw, [{1, 4}, 2])](/support/helpjp/helpview.aspx?si=6010/file01770/math151.png)
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![{[{1, 2}, 1], [{1, 3}, 1], [{1, 4}, 2], [{2, 4}, 1]}](/support/helpjp/helpview.aspx?si=6010/file01770/math161.png)
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![G := Graph([a, b, c, d])](/support/helpjp/helpview.aspx?si=6010/file01770/math165.png)
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Download Help Document
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