Chiang Mai Journal of Science

Multi-sources Silmultanieous Communication in the Wireless Mobility Model is NP-complete

Paper Type	Contributed Paper
Title	Multi-sources Silmultanieous Communication in the Wireless Mobility Model is NP-complete
Author	Pattama Longani [a], Nopadon Juneam [b], Sanpawat Kantabutra*[c]
Email	sanpawat@alumni.tufts
Abstract:  In this article we consider a mobility model M = (S, D, U, L, R, V, C, O), where S is a set of sources, D a set of directions, U a set of users, L a set of user movements, R a set of source movements,  V a set of velocities of sources, C a set of source coverages, and o a set of obstacles. Particularly, we study a problem called Multi-Sources Simultaneous Communication Problem (MSSCP) in this model. This problem is stated as follows: given a mobility model M = (S, D, U, L, R, V, C, O), k pairs of distinct sources {s1, s'1}, {s2, s'2},..., {sk, s'k}, and a time t e N, can all k pairs of sources simultaneously communicate throughout the duration t of the model without sharing a source? We show that the complexity of this problem is at least as hard as the One-In-Three 3-Satisfiability unless P=NP. In addition, we also give an exact algorithm and a heuristic one for MSSCP and show that if the communication among sources in MSSCP can be represented by a complete bipartite graph, Km,n, then MSSCP can be solved in polynomial time.
Start & End Page	1205 - 1221
Received Date	2015-05-20
Revised Date
Accepted Date	2016-03-28
Full Text	Download
Keyword	wireless mobility networks, NP-completeness, intractability, bipartite
Volume	Vol.43 No.5 (OCTOBER 2016)
DOI
Citation	Longani P., Juneam N. and Kantabutra S., Multi-sources Silmultanieous Communication in the Wireless Mobility Model is NP-complete, Chiang Mai J. Sci., 2016; 43(5): 1205-1221.
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