Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Many interesting problems in graph theory can be reduced to solving an eigenproblem of the adjacency matrix or Laplacian of a graph. Given the availability of high-quality linear algebra and graph libraries, one might expect that one could merely use a graph data structure within a eigensolver. Hover, conventional libraries are rigidly constructed, requiring conversion to library-specific data structures or using heavyight abstraction methods that prevent efficient composition. The generic programming methodology addresses the problems of reusability and composability by careful factorization of a domain into efficient library abstractions.  describe the composition process that makes the data structures from a library supporting one domain usable with the algorithms of another library for a disjoint domain without conversion or heavyight abstractions. To illustrate the process,  compose two separately-developed libraries, one for solving eigenproblems sequentially and the other for solving graph problems in parallel, effecting an efficient, scalable parallel graph eigensolver.
['Alex Breuer', 'Peter Gottschling', 'Douglas P. Gregor', 'Andrew Lumsdaine']
I am writing a research paper on a idea Effecting parallel graph eigensolvers through library composition
[{"from": "human", "value": "I am writing a research paper on a idea Effecting parallel graph eigensolvers through library composition"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Many interesting problems in graph theory can be reduced to solving an eigenproblem of the adjacency matrix or Laplacian of a graph. Given the availability of high-quality linear algebra and graph libraries, one might expect that one could merely use a graph data structure within a eigensolver. Hover, conventional libraries are rigidly constructed, requiring conversion to library-specific data structures or using heavyight abstraction methods that prevent efficient composition. The generic programming methodology addresses the problems of reusability and composability by careful factorization of a domain into efficient library abstractions.  describe the composition process that makes the data structures from a library supporting one domain usable with the algorithms of another library for a disjoint domain without conversion or heavyight abstractions. To illustrate the process,  compose two separately-developed libraries, one for solving eigenproblems sequentially and the other for solving graph problems in parallel, effecting an efficient, scalable parallel graph eigensolver."}]