Improving the efficiency of parallel minimum spanning tree algorithms
نویسندگان
چکیده
منابع مشابه
Communication-optimal Parallel Minimum Spanning Tree Algorithms
Lower and upper bounds for nding a minimum spanning tree (MST) in a weighted undirected graph on the BSP model are presented. We provide the rst non-trivial lower bounds on the communication volume required to solve the MST problem. Let p denote the number of processors, n the number of nodes of the input graph, and m the number of edges of the input graph. We show that in the worst case, a tot...
متن کاملParallel Minimum Spanning Tree Algorithm
The Minimal Spanning Tree (MST) problem is a classical graph problem which has many applications in various areas. In this paper we discuss a concurrent MST algorithm derived from Prim’s algorithm presented by Setia et al. in 2009, targeting symmetric multiprocessing (SMP) with a shared address space. The pseudocode of the algorithm is presented, combined with three interesting heuristics in or...
متن کاملCommunication - Optimal Parallel Minimum Spanning Tree AlgorithmsExtended
Lower and upper bounds for nding a minimum spanning tree (MST) in a weighted undirected graph on the BSP model are presented. We provide the rst non-trivial lower bounds on the communication volume required to solve the MST problem. Let p denote the number of processors, n the number of nodes of the input graph, and m the number of edges of the input graph. We show that in the worst case a tota...
متن کاملCommunication - Optimal Parallel Minimum Spanning Tree
Lower and upper bounds for nding a minimum spanning tree (MST) in a weighted undirected graph on the BSP model are presented. We provide the rst non-trivial lower bounds on the communication volume required to solve the MST problem. Let p denote the number of processors, n the number of nodes of the input graph, and m the number of edges of the input graph. We show that in the worst case a tota...
متن کاملGreedy Algorithms for Minimum Spanning Tree
The glossary de nes a spanning tree for a connected graph with non-negative weights on its edges, and one problem: nd a max weight spanning tree. Remarkably, the greedy algorithm results in a solution. Here we present similar greedy algorithms due to Prim [3] and Kruskal [2], respectively, for the problem: nd a min weight spanning tree. Graham and Hell [1] gives a history of the problem, which ...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2003
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(02)00560-7