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networks[graphical] - tests whether a list of integers is graphical
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Calling Sequence
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graphical(intlist)
graphical(intlist, 'MULTI')
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Parameters
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intlist
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list of non-negative integers
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'MULTI'
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specifies that multigraph is permitted
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Description
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This procedure tests whether intlist is the degree sequence of a simple graph (or multigraph with no loops if 'MULTI' is specified).
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If intlist is graphical (multigraphical) the procedure call returns a list of edges for one realization of intlist as a graph. Otherwise it returns FAIL.
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This routine is normally loaded via the command with(networks) but may also be referenced using the full name networks[graphical](...).
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Examples
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Important: The networks package has been deprecated. Use the superseding package GraphTheory instead.
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![graphical([6, 4, 6, 4, 4, 4, 6])](/support/helpjp/helpview.aspx?si=8226/file07418/math111.png)
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![[{1, 7}, {1, 3}, {1, 5}, {1, 4}, {1, 6}, {1, 2}, {3, 7}, {6, 7}, {4, 7}, {5, 7}, {2, 7}, {2, 3}, {3, 5}, {3, 4}, {3, 6}, {2, 6}, {4, 5}]](/support/helpjp/helpview.aspx?si=8226/file07418/math114.png)
| (1) |
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![addedge([{1, 7}, {1, 3}, {1, 5}, {1, 4}, {1, 6}, {1, 2}, {3, 7}, {6, 7}, {4, 7}, {5, 7}, {2, 7}, {2, 3}, {3, 5}, {3, 4}, {3, 6}, {2, 6}, {4, 5}], G)](/support/helpjp/helpview.aspx?si=8226/file07418/math118.png)
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![[4, 4, 4, 4, 6, 6, 6]](/support/helpjp/helpview.aspx?si=8226/file07418/math125.png)
| (2) |
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![graphical([3, 3, 6, 6, 6, 3, 3], 'MULTI')](/support/helpjp/helpview.aspx?si=8226/file07418/math137.png)
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![[{3, 4}, {3, 5}, {3, 4}, {3, 5}, {3, 4}, {3, 5}, {4, 5}, {4, 7}, {4, 6}, {1, 2}, {2, 5}, {1, 2}, {6, 7}, {1, 7}, {5, 6}]](/support/helpjp/helpview.aspx?si=8226/file07418/math140.png)
| (3) |
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![addedge([{3, 4}, {3, 5}, {3, 4}, {3, 5}, {3, 4}, {3, 5}, {4, 5}, {4, 7}, {4, 6}, {1, 2}, {2, 5}, {1, 2}, {6, 7}, {1, 7}, {5, 6}], H)](/support/helpjp/helpview.aspx?si=8226/file07418/math144.png)
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![graphical([5, 4, 3, 2, 1, 1])](/support/helpjp/helpview.aspx?si=8226/file07418/math155.png)
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| (5) |
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