Enumeration of trees from finite number of nodes

A method of generating complex two-dimensional graphical hierarchies for more convenient processing and/or storage, a complex two-dimensional graphical hierarchy being in the form of a tree hierarchy, the method comprising:

• accessing instructions from one or more physical memory devices for execution by one or more processors;
• executing instructions accessed from the one or more physical memory devices by the one or more processors;
• storing, in the at least one of the physical memory devices, signal values resulting from having executed the instructions on the one or more processors, wherein the one or more physical memory devices also store a database or a portion thereof;
• wherein the accessed instructions to transform the database, or the portion thereof, to one or more tree hierarchies;
• and
• wherein executing the accessed tree hierarchy transformation instructions further comprising:
• generating at least some tree hierarchy structures and associated tree label values;
• determining, for the generated at least some tree hierarchy structures and associated tree label values, symbol values associated therewith;
• and
• storing, in the at least one of the physical memory devices, the symbol values.

An apparatus to generate 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:

• means for accessing instructions from one or more physical memory devices for execution by one or more processors;
• means for executing instructions accessed from the one or more physical memory devices by the one or more processors;
• means for storing, in the at least one of the physical memory devices, signal values resulting from having executed the instructions on the one or more processors, wherein the one or more physical memory devices also store a database, or a portion thereof;
• wherein the accessed instructions to transform the database, or the portion thereof, to tree hierarchies;
• and
• wherein the means for executing the accessed tree hierarchy transformation instructions comprises:
• means for generating at least some tree hierarchy structures and associated tree label values;
• means for determining, for the generated at least some tree hierarchy structures and associated tree label values, symbol values associated therewith;
• and
• means for storing, in the at least one of the physical memory devices, the symbol values.

An apparatus comprising:

• one or more processors coupled to one or more physical memory devices to store executable instructions and to store binary digital signal quantities as physical memory states, wherein the executable instructions being accessible from the physical memory devices for execution by one or more processors;
• and
• the one or more processors able to store in at least one of the physical memory devices, binary digital signal quantities, if any, that are to result from execution of the instructions on the one or more processors, wherein the one or more physical memory devices also store a database or a portion thereof and wherein the accessed executable instructions to transform the database, or portion thereof, to one or more tree hierarchies;
• and
• wherein the accessed tree hierarchy transform instructions further to:
• generate at least some tree hierarchy structures and associated tree labeled values;
• determine, for the to be generated at least some tree hierarchy structures and associated tree labeled values, symbol values to be associated therewith;
• and
• store, in the at least one of the physical memory devices, the symbol values.

An article comprising:

• a non-transitory storage medium comprising instructions stored thereon, wherein the instructions being accessible from the non-transitory storage medium stored as physical memory states on one or more physical memory devices, the one or more physical memory devices to be coupled to one or more processors able to execute the instructions stored as physical memory states, the one or more physical memory devices also able to store binary digital signals quantities, if any, as physical memory states, that are to result from execution of the instructions on the one or more processors, wherein the one or more physical memory devices also store a database, or a portion thereof;
• wherein the executable instructions to transform the database, or the portion thereof, to one or more tree hierarchies;
• and
• wherein tree hierarchy transformation instructions further to:
• generate at least some tree hierarchy structures and associated tree label values;
• determine, for the to be generated at least some tree hierarchy structures and associated tree label values, symbol values to be associated therewith;
• and
• store, in the at least one of the physical memory devices, the symbol values.