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A developed Dijkstra shortest path search algorithm is proposed through improving data structure, preprocessing to remove redundant vertices and setting the search region sequence. The average running time before and after improvement is compared and analyzed through the simulation tests. The results show that the developed Dijkstra shortest path search algorithm can improve storage efficiency and...
Abstract-We consider the I/O-efficient rectangular segment search problem in 2D. The problem involves storing a given set S of N line segments in a data structure such that an axis aligned rectangular range query R can be performed efficiently; i.e., report all line segments in S which intersect R. We give a data structure requiring space O(N(N/B)2) disk blocks that can answer a range query R using...
Dynamic connectivity is a well-studied problem, but so far the most compelling progress has been confined to the edge-update model: maintain an understanding of connectivity in an undirected graph, subject to edge insertions and deletions. In this paper, we study two more challenging, yet equally fundamental problems: subgraph connectivity asks to maintain an understanding of connectivity under vertex...
In this paper, a new data structure called string-queue is proposed in order to implement more efficiently the selection rule and the elimination rule of the general branch-and-bound algorithm. A new general parallel branch-and-bound algorithm on a distributed memory multiprocessor system is also presented. Its communication complexity in single iteration is down to its lower bound O(p) on a 2D mesh...
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