{"title":"Multi-sources simultaneous communication in the wireless mobility model is NP-complete","authors":"Pattama Longani, Sanpawat Kantabutra","doi":"10.1109/IEECON.2014.6925942","DOIUrl":null,"url":null,"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 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, 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.","PeriodicalId":306512,"journal":{"name":"2014 International Electrical Engineering Congress (iEECON)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2014-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 International Electrical Engineering Congress (iEECON)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IEECON.2014.6925942","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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 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, 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.