Enumeration of rooted partial subtrees
First Claim
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1. A method of executing instructions on at least one computing device in which the at least one computing device includes at least one processor and at least one memory, the method comprising:
- executing the instructions on the at least one processor of the at least one computing device; and
wherein the instructions to be executed comprise instructions for enumeration;
wherein the executing the enumeration instructions comprises enumerating a set of component rooted partial subtrees for a graphical representation of a full hierarchical tree comprising a node labeled tree, wherein the set of component rooted partial subtrees comprises at least one component rooted partial subtree having a same root node as a second component rooted partial subtree;
wherein the executing the enumeration instructions further comprises;
determining one or more digital signals for natural numerals associated with the enumerated component rooted partial subtrees of the set, the one or more digital signals being based, at least in part, on an association between trees and numerals;
wherein at least one of the set of the enumerated component rooted partial subtrees comprises at least one of the following;
an empty tree, a single node tree, a tree comprising a single subtree connected to a root node by an edge or two or more trees connected to a root node by respective edges; and
further comprising storing one or more digital signals in the at least one memory of the at least one computing device any results of having executed the enumeration instructions on the at least one processor of the at least one computing device.
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Abstract
Embodiments of methods, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed. In particular, methods, apparatus devices and or/or systems for enumerating rooted partial subtrees are disclosed.
237 Citations
56 Claims
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1. A method of executing instructions on at least one computing device in which the at least one computing device includes at least one processor and at least one memory, the method comprising:
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executing the instructions on the at least one processor of the at least one computing device; and wherein the instructions to be executed comprise instructions for enumeration; wherein the executing the enumeration instructions comprises enumerating a set of component rooted partial subtrees for a graphical representation of a full hierarchical tree comprising a node labeled tree, wherein the set of component rooted partial subtrees comprises at least one component rooted partial subtree having a same root node as a second component rooted partial subtree; wherein the executing the enumeration instructions further comprises;
determining one or more digital signals for natural numerals associated with the enumerated component rooted partial subtrees of the set, the one or more digital signals being based, at least in part, on an association between trees and numerals;wherein at least one of the set of the enumerated component rooted partial subtrees comprises at least one of the following;
an empty tree, a single node tree, a tree comprising a single subtree connected to a root node by an edge or two or more trees connected to a root node by respective edges; andfurther comprising storing one or more digital signals in the at least one memory of the at least one computing device any results of having executed the enumeration instructions on the at least one processor of the at least one computing device. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14)
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15. An apparatus comprising:
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means for executing instructions comprising at least one processor; wherein the instructions being executed comprise instructions for enumeration; wherein the means for executing instructions comprises means for enumerating a set of component rooted partial subtrees for a graphical representation of a full hierarchical tree comprising a node labeled tree, wherein the set of component rooted partial subtrees comprises at least one component rooted partial subtree having a same root node as a second component rooted partial subtree; wherein the means for executing instructions further comprises means for determining one or more digital signals for natural numerals associated with the enumerated component rooted partial subtrees of the set, the one or more digital signals being based, at least in part, on an association between trees and natural numerals; wherein at least one of the set of the enumerated component rooted partial subtrees comprises at least one of the following;
an empty tree, a single node tree, a tree comprising a single subtree connected to a root node by an edge or two or more trees connected to a root node by respective edges; andfurther comprising means for storing as one or more digital signals any results of having executed the enumeration instructions. - View Dependent Claims (16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28)
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29. An apparatus comprising:
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at least one computing device including at least one processor and at least one memory, the at least one computing device to execute instructions on the at least one processor; the instructions to be executed comprising instructions for enumeration; wherein execution of the enumeration instructions to comprise instructions to enumerate, via the at least one processor, a set of component rooted partial subtrees for a graphical representation of a full hierarchical tree to comprise a node labeled tree, wherein the set of component rooted partial subtrees to comprise at least one component rooted partial subtree to have a same root node as a second component rooted partial subtree; wherein the enumeration instructions to comprise instructions to determine, via the at least one processor, one or more digital signals for natural numerals to be associated with particular ones of the set of the to be enumerated component rooted partial subtrees, the one or more digital signals to be based, at least in part, on an association between trees and natural numerals; wherein at least one of the set of the enumerated component rooted partial subtrees to comprise at least one of the following;
an empty tree, a single node tree, a tree comprising a single subtree connected to a root node by an edge or two or more trees connected to a root node by respective edges; andfurther comprising instructions to be executed to store in the at least one memory of the at least one computing device any results to be generated from the execution on the at least one processor of the to be executed enumeration instructions. - View Dependent Claims (30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42)
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43. An article comprising:
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a non-transitory storage medium comprising machine-readable instructions stored thereon executable by at least one computing device, the at least one computing device comprising at least one processor and at least one memory, to; execute instructions on the at least one processor; the instructions to be executed to comprise instructions for enumeration; wherein execution of the enumeration instructions to comprise execution of instructions to enumerate a set of component rooted partial subtrees of a graphical representation of a full hierarchical tree to comprise a node labeled tree, wherein the set of component rooted partial subtrees to comprise at least one component rooted partial subtree to have a same root node as a second component rooted partial subtree; wherein the enumeration instructions to comprise instructions to determine one or more digital signals for natural numerals to be associated with particular ones of the set of the to be enumerated rooted partial subtrees, the one or more digital signals to be based, at least in part, on an association between trees and natural numerals; and wherein the instructions to be executed further to comprise instructions to store in the at least one memory of the at least one computing device any results to be generated from the execution on the at least one processor of the to be executed enumeration instructions. - View Dependent Claims (44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56)
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Specification