Enumeration of trees from finite number of nodes
First Claim
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1. A method of enumerating possible complex two-dimensional graphical hierarchies for more convenience processing and/or storage, a complex two-dimensional graphical hierarchy being in the form of a tree hierarchy, the method comprising:
- enumerating possible tree hierarchies, in which a tree hierarchy comprises one or more signal values, configurable from a finite number (N) of nodes;
determining for the enumerated tree hierarchies natural numerals associated with particular ones of the enumerated tree hierarchies, the natural numerals being based, at least in part, on a predetermined association between the tree hierarchies and the natural numerals; and
storing, in a memory, the natural numerals, a natural numeral comprising one or more signal values,wherein the natural numeral comprises a product of two or more component natural numerals,the product of two or more component natural numerals comprising a subtree hierarchy among subtree hierarchies which are merged at a root node to form the associated enumerated tree hierarchy.
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Abstract
Embodiments of methods, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed.
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Citations
40 Claims
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1. A method of enumerating possible complex two-dimensional graphical hierarchies for more convenience processing and/or storage, a complex two-dimensional graphical hierarchy being in the form of a tree hierarchy, the method comprising:
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enumerating possible tree hierarchies, in which a tree hierarchy comprises one or more signal values, configurable from a finite number (N) of nodes; determining for the enumerated tree hierarchies natural numerals associated with particular ones of the enumerated tree hierarchies, the natural numerals being based, at least in part, on a predetermined association between the tree hierarchies and the natural numerals; and storing, in a memory, the natural numerals, a natural numeral comprising one or more signal values, wherein the natural numeral comprises a product of two or more component natural numerals, the product of two or more component natural numerals comprising a subtree hierarchy among subtree hierarchies which are merged at a root node to form the associated enumerated tree hierarchy. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. An apparatus to enumerate a complex two-dimensional graphical hierarchy for more convenient processing and/or storage, a complex two-dimensional graphical hierarchy being in the form of a tree hierarchy, the apparatus comprising:
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means for enumerating possible tree hierarchies, a tree hierarchy to comprise one or more signal values, configurable from a finite number (N) of nodes; means for determining, for the enumerated tree hierarchies, natural numerals associated with particular ones of the enumerated tree hierarchies, the natural numerals being based, at least in part, on a predetermined association between the tree hierarchies and the natural numerals; and means for storing, in a memory, the natural numerals, a natural numeral to comprise one or more signal values, wherein the natural numeral comprises a product of two or more component natural numerals, the product of two or more component natural numerals comprising a subtree hierarchy among subtree hierarchies which are merged at a root node to form the associated enumerated tree hierarchy. - View Dependent Claims (12, 13, 14, 15, 16, 17, 18, 19, 20)
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21. An apparatus comprising a computing device, the computing device to:
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enumerate possible tree hierarchies, a tree hierarchy to comprise one or more signal values, configurable from a finite number (N) of nodes; determine for the to be enumerated tree hierarchies natural numerals to be associated with particular ones of the to be enumerated tree hierarchies, the natural numerals to be based, at least in part, on a predetermined association between tree hierarchies and natural numerals; and store, in the memory, the natural numerals, a natural numeral to comprise one or more signal values, wherein the natural numeral to comprise a product of two or more component natural numerals, the product of two or more component natural numerals to comprise a subtree hierarchy among subtree hierarchies which are merged at a root node to form the associated enumerated tree hierarchy. - View Dependent Claims (22, 23, 24, 25, 26, 27, 28, 29, 30)
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31. An article comprising:
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a non-transitory storage medium comprising instructions stored thereon, the instructions being executable by one or more processors of one or more computing devices to; enumerate possible tree hierarchies, a tree hierarchy to comprise one or more signal values, configurable from a finite number (N) of nodes; determine for the to be enumerated tree hierarchies natural numerals to be associated with particular ones of the to be enumerated tree hierarchies, the natural numerals to be based, at least in part, on a predetermined association between tree hierarchies and natural numerals; and store, in the memory, the natural numerals, a natural numeral to comprise one or more signal values wherein the natural numeral to comprise a product of two or more component natural numerals, the product of two or more component natural numerals to comprise a subtree hierarchy among subtree hierarchies which are merged at a root node to form the associated enumerated tree hierarchy. - View Dependent Claims (32, 33, 34, 35, 36, 37, 38, 39, 40)
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Specification