Method and/or system for tree transformation
First Claim
Patent Images
1. A method comprising:
- executing instructions by a processor to;
transform an unlabeled tree in a set of unlabeled trees to a binary labeled tree (BLT) in a set of BLTs, said unlabeled tree and BLT being elementary equivalents in that there exists a transformation between said unlabeled tree and said BLT according to a one to one and onto mapping between said set of unlabeled trees and said set of BLTs, said transformation comprising application of one or more graphical operations to a tree; and
further comprising executing said instructions by said processor to transform said unlabeled tree to said BLT by;
transforming said unlabeled tree to a node labeled tree, said unlabeled tree and said node labeled tree being elementary equivalents; and
transforming said node labeled tree to said BLT;
wherein said transforming said unlabeled tree to said node labeled tree further comprises;
identifying frontier nodes of said unlabeled tree;
pruning one or more terminal node children of said frontier nodes; and
expressing remaining unpruned terminal nodes of said unlabeled tree as representing node labels of nodes corresponding with parent nodes of said remaining unpruned terminal nodes.
4 Assignments
0 Petitions
Accused Products
Abstract
Embodiments of methods, apparatuses, devices and/or systems for manipulating hierarchical sets of data are disclosed. In one particular example, such methods, apparatuses, devices and/or systems may be directed to transforming between labeled and unlabeled trees which are elementary equivalents.
198 Citations
24 Claims
-
1. A method comprising:
-
executing instructions by a processor to; transform an unlabeled tree in a set of unlabeled trees to a binary labeled tree (BLT) in a set of BLTs, said unlabeled tree and BLT being elementary equivalents in that there exists a transformation between said unlabeled tree and said BLT according to a one to one and onto mapping between said set of unlabeled trees and said set of BLTs, said transformation comprising application of one or more graphical operations to a tree; and
further comprising executing said instructions by said processor to transform said unlabeled tree to said BLT by;transforming said unlabeled tree to a node labeled tree, said unlabeled tree and said node labeled tree being elementary equivalents; and transforming said node labeled tree to said BLT;
wherein said transforming said unlabeled tree to said node labeled tree further comprises;identifying frontier nodes of said unlabeled tree; pruning one or more terminal node children of said frontier nodes; and expressing remaining unpruned terminal nodes of said unlabeled tree as representing node labels of nodes corresponding with parent nodes of said remaining unpruned terminal nodes. - View Dependent Claims (2, 3, 4)
-
-
5. A method comprising:
-
executing instructions by a processor to; transform a node labeled tree in a set of node labeled trees to a binary labeled tree (BLT) in a set of BLTs, said node labeled tree and BLT being elementary equivalents in that there exists a transformation between said node labeled tree and said BLT according to a one to one and onto mapping between said set of node labeled trees and said set of BLTs, said transformation comprising one or more graphical operations applied to a tree;
wherein nodes in said node labeled tree are associated with node label values, and further comprising executing said instructions by said processor to represent node label values of selected ones of said nodes in said node labeled tree as one or more nodes coupled to nodes in said BLT corresponding with said selected nodes;
wherein said node label values are associated with numerals, and wherein said node label values of selected ones of said nodes are represented in said node labeled tree by;associating said node label values of said selected nodes in said node labeled tree with corresponding BLTs and/or BLT portions according to an association of trees and numerals; and representing said node label values of said selected nodes in said BLT by extending said corresponding BLTs and/or BLT portions from nodes in said BLT associated with said selected nodes in said node labeled tree. - View Dependent Claims (6)
-
-
7. An apparatus comprising:
-
means for defining an unlabeled tree in a set of unlabeled trees; and means for transforming said unlabeled tree to a binary labeled tree (BLT) in a set of BLTs, said unlabeled tree and BLT being elementary equivalents in that there exists a transformation between said unlabeled tree and said BLT according to a one to one and onto mapping between said set of unlabeled trees and said set of BLTs, said transformation comprising application of one or more graphical operations to a tree; wherein said means for transforming said unlabeled tree to said BLT further comprises; means for transforming said unlabeled tree to a node labeled tree, said unlabeled tree and said node labeled tree being elementary equivalents; and means for transforming said node labeled tree to said BLT; and wherein said means for transforming said unlabeled tree to said node labeled tree further comprises; means for identifying frontier nodes of said unlabeled tree; means for pruning one or more terminal node children of said frontier nodes; and means for expressing remaining unpruned terminal nodes of said unlabeled tree as node labels of nodes corresponding with parent nodes of said remaining unpruned terminal nodes. - View Dependent Claims (8, 9, 10)
-
-
11. An apparatus comprising:
-
means for defining a node labeled tree in a set of node labeled trees; and means for transforming said node labeled tree to a binary labeled tree (BLT) in a set of BLTs, said node labeled tree and BLT being elementary equivalents in that there exists a transformation between said node labeled tree and said BLT according to a one to one and onto mapping between said set of node labeled trees and said set of BLTs, said transformation comprising application of one or more graphical operations to a tree; wherein nodes in said node labeled tree are associated with node label values, and further comprising means for representing node label values of selected ones of said nodes in said node labeled tree as one or more nodes coupled to nodes in said BLT corresponding with said selected nodes;
wherein said node label values are associated with numerals, and wherein said means for representing node label values of selected ones of said nodes in said node labeled tree further comprises;means for associating said node label values of said selected nodes in said node labeled tree with corresponding BLTs and/or BLT portions according to an association of trees and numerals; and means for representing said node label values of said selected nodes in said BLT by extending said corresponding BLTs and/or BLT portions from nodes in said BLT associated with said selected nodes in said node labeled tree. - View Dependent Claims (12)
-
-
13. An article comprising:
-
a memory comprising instructions stored thereon which are executable to; transform an unlabeled tree in a set of unlabeled trees to a binary labeled tree (BLT) in a set of BLTs, said unlabeled tree and BLT being elementary equivalents in that there exists a transformation between said unlabeled tree and said BLT according to a one to one and onto mapping between said set of unlabeled trees and said set of BLTs, said transformation comprising application of one or more graphical operations to a tree; wherein said instructions are further executable to; transform said unlabeled tree to a node labeled tree, said unlabeled tree and said node labeled tree being elementary equivalents; and transform said node labeled tree to said BLT; and wherein said instructions are further executable to; identify frontier nodes of said unlabeled tree; prune one or more terminal node children of said frontier nodes; and express remaining unpruned terminal nodes of said unlabeled tree as node labels of nodes corresponding with parent nodes of said remaining unpruned terminal nodes. - View Dependent Claims (14, 15, 16)
-
-
17. An article comprising:
-
a memory comprising instructions stored thereon which are executable to; transform a node labeled tree in a set of node labeled trees to a binary labeled tree (BLT) in a set of BLTs, said node labeled tree and BLT being elementary equivalents in that there exists a transformation between said node labeled tree and said BLT according to a one to one and onto mapping between said set of node labeled trees and said set of BLTs, said transformation comprising application of one or more graphical operations to a tree; wherein nodes in said node labeled tree are associated with node label values, and wherein said instructions are further executable to represent node label values of selected ones of said nodes in said node labeled tree as one or more nodes coupled to nodes in said BLT corresponding with said selected nodes; and wherein said node label values are associated with numerals, and wherein said instructions are further executable to; associate said node label values of said selected nodes in said node labeled tree with corresponding BLTs and/or BLT portions according to an association of trees and numerals; and represent said node label values of said selected nodes in said BLT with said corresponding BLTs and/or BLT portions. - View Dependent Claims (18)
-
-
19. An apparatus comprising:
-
a computing platform comprising one or more processors programmed with instructions to; transform an unlabeled tree in a set of unlabeled trees to a binary labeled tree (BLT) in a set of BLTs, said unlabeled tree and BLT being elementary equivalents in that there exists a transformation between said unlabeled tree and said BLT according to a one to one and onto mapping between said set of unlabeled trees and said set of BLTs, said transformation comprising application of one or more graphical operations to a tree;
wherein the one or more processors are further programmed with instructions to;transform said unlabeled tree to a node labeled tree, said unlabeled tree and said node labeled tree being elementary equivalents; and transform said node labeled tree to said BLT; and wherein the one or more processors are further programmed with instructions to; identify frontier nodes of said unlabeled tree; prune one or more terminal node children of said frontier nodes; and express remaining unpruned terminal nodes of said unlabeled tree as node labels of nodes corresponding with parent nodes of said remaining unpruned terminal nodes. - View Dependent Claims (20, 21, 22)
-
-
23. An apparatus comprising:
-
a computing platform, the computing platform comprising one or more processors programmed with instructions to; transform a node labeled tree in a set of node labeled trees to a binary labeled tree (BLT) in a set of BLTs, said node labeled tree and BLT being elementary equivalents in that there exists a transformation between said node labeled tree and said BLT according to a one to one and onto mapping between said set of node labeled trees and said set of BLTs, said transformation comprising application of one or more graphical operations to a tree;
wherein nodes in said node labeled tree are associated with node label values, and wherein the one or more processors are further programmed with instructions to represent node label values of selected ones of said nodes in said node labeled tree as one or more nodes coupled to nodes in said BLT corresponding with said selected nodes;
wherein said node label values are associated with numerals,and wherein the one or more processors are further programmed with instructions to; associate said node label values of said selected nodes in said node labeled tree with corresponding BLTs and/or BLT portions according to an association of trees and numerals; and represent said node label values of said selected nodes in said BLT with said corresponding BLTs and/or BLT portions. - View Dependent Claims (24)
-
Specification