Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce a novel approach to Compressed Path Databases, space efficient oracles used to very quickly identify the first edge on a shortest path. Our algorithm achieves query running times on the 100 nanosecond scale, being significantly faster than state-of-the-art first-move oracles from the literature. Space consumption is competitive, due to a compression approach that rearranges rows and columns in a first-move matrix and then performs run length encoding (RLE) on the contents of the matrix. One variant of our implemented system was, by a convincing margin, the fastest entry in the 2014 Grid-Based Path Planning Competition.#R##N##R##N# give a first tractability analysis for the compression scheme used by our algorithm.  study the complexity of computing a database of minimum size for general directed and undirected graphs.  find that in both cases the problem is NP-complete.  also show that, for graphs which can be decomposed along articulation points, the problem can be decomposed into independent parts, with a corresponding reduction in its level of difficulty. In particular, this leads to simple and tractable algorithms with linear running time which yield optimal compression results for trees.
['Ben Strasser', 'Adi Botea', 'Daniel Harabor']
I am writing a research paper on a idea Compressing optimal paths with run length encoding
[{"from": "human", "value": "I am writing a research paper on a idea Compressing optimal paths with run length encoding"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce a novel approach to Compressed Path Databases, space efficient oracles used to very quickly identify the first edge on a shortest path. Our algorithm achieves query running times on the 100 nanosecond scale, being significantly faster than state-of-the-art first-move oracles from the literature. Space consumption is competitive, due to a compression approach that rearranges rows and columns in a first-move matrix and then performs run length encoding (RLE) on the contents of the matrix. One variant of our implemented system was, by a convincing margin, the fastest entry in the 2014 Grid-Based Path Planning Competition.#R##N##R##N# give a first tractability analysis for the compression scheme used by our algorithm.  study the complexity of computing a database of minimum size for general directed and undirected graphs.  find that in both cases the problem is NP-complete.  also show that, for graphs which can be decomposed along articulation points, the problem can be decomposed into independent parts, with a corresponding reduction in its level of difficulty. In particular, this leads to simple and tractable algorithms with linear running time which yield optimal compression results for trees."}]