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A self-stabilizing algorithm for the maximum planarization problem in complete bipartite networks
Authors:Chi-Hung Tzeng  Shing-Tsaan Huang
Affiliation:a Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan
b Department of Computer Science and Information Engineering, National Central University, Jhongli, Taiwan
Abstract:The maximum planarization problem is to find a spanning planar subgraph having the largest number of edges for a given graph. In this paper, we propose a self-stabilizing algorithm to solve this problem for complete bipartite networks. The proposed algorithm finds the maximum planar subgraph of 2n−4 edges in O(n) rounds, where n is the number of nodes.
Keywords:Bipartite graph   Fault tolerance   Planar graph   Self-stabilization   Spanning tree
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