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combstruct[allstructs] - list all the combinatorial objects of a specified size
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Calling Sequence
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allstructs([A, spec, typ], size=n)
allstructs(struct(args), size=n)
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Parameters
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A
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nonterminal of spec
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spec
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combinatorial specification
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typ
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labeling type; 'labeled' or 'unlabeled', the default is 'unlabeled'
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n
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non-negative integer specifying the size of the object or string 'allsizes'
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struct
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one of a predefined list of available structures
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args
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argument list that corresponds to the structure struct
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Description
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The allstructs command returns all elements of the combinatorial class of the specified size.
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It returns a list, except in some instances with the structure Subset (combination). If the argument to Subset is a set, allstructs returns a set of the subsets.
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If the size is not specified, the default size for the structure is used. The size must be specified when working with grammar specifications.
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Use the string 'allsizes' which is available only for predefined structures when all possible sizes should be generated.
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For information on how to create an iterator for these structures that produces one element at a time rather than returning all of them at once, see combstruct[iterstructs].
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Examples
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>
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>
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| (1) |
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![allstructs(Permutation([a, b, c]), size = 2)](/support/helpjp/helpview.aspx?si=8173/file03585/math158.png)
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![[[a, b], [a, c], [b, a], [b, c], [c, a], [c, b]]](/support/helpjp/helpview.aspx?si=8173/file03585/math161.png)
| (2) |
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![allstructs([T, {T = Prod(Z, PowerSet(T))}, unlabeled], size = 6)](/support/helpjp/helpview.aspx?si=8173/file03585/math165.png)
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| (3) |
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