Data structures and network algorithms
Data structures and network algorithms
Fibonacci heaps and their uses in improved network optimization algorithms
Journal of the ACM (JACM)
Faster scaling algorithms for network problems
SIAM Journal on Computing
Efficient Algorithms for Shortest Paths in Sparse Networks
Journal of the ACM (JACM)
INFORMS Journal on Computing
Planning Algorithms
Subgraphs generating algorithm for obtaining set of node-disjoint paths in terrain-based mesh graphs
MIG'10 Proceedings of the Third international conference on Motion in games
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In the paper a branch-and-bound algorithm for solving shortest paths problem in a large-scale terrain-based grid network, especially designed for multiresolution movement planning and simulation is discussed. The new approach deals with a specific method for merging the geographically adjacent nodes (squares) and the planning path to a "merged" graph. The merging is done by using geographically adjacent squares of primary graph (thus, we obtain nodes of a "merged" graph) and calculating costs in the "merged" graph as longest (or shortest) of the shortest paths between some subsets of nodes belonging to "merged" nodes. The properties of the algorithm are discussed and proved. Moreover, some remarks on how to parallelize and apply the presented algorithm for finding multiresolution shortest paths are proposed.