We study the concept of propagation connectivity on random 3-uniform hypergraphs. This concept is defined for investigating the performance of a simple algorithm for solving instances of certain constraint satisfaction problems. We derive upper and lower bounds for edge probability of random 3-uniform hypergraphs such that the propagation connectivity holds. Based on our analysis, we also show the way to implement the simple algorithm so that it runs in linear time on average.
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Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USAUniv Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
Ma, Jie
Naves, Humberto
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Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USAUniv Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
Naves, Humberto
Sudakov, Benny
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Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
ETH, Dept Math, CH-8092 Zurich, SwitzerlandUniv Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
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Univ Cambridge, Dept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WA, England
Univ Memphis, Memphis, TN 38152 USA
London Inst Math Sci, London, EnglandUniv Cambridge, Dept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WA, England
Bollobas, Bela
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Cooley, Oliver
Kang, Mihyun
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Graz Univ Technol, Inst Discrete Math, Steyrergasse 30, A-8010 Graz, AustriaUniv Cambridge, Dept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WA, England
Kang, Mihyun
Koch, Christoph
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Graz Univ Technol, Inst Discrete Math, Steyrergasse 30, A-8010 Graz, Austria
Univ Warwick, Math Inst, Zeeman Bldg, Coventry CV4 7AL, W Midlands, EnglandUniv Cambridge, Dept Pure Math & Math Stat, Wilberforce Rd, Cambridge CB3 0WA, England
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Zhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R China
Zhejiang Normal Univ, Key Lab Intelligent Educ Technol & Applicat Zhejia, Jinhua 321004, Peoples R ChinaZhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R China
Peng, Hao
Kuang, Zhihao
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Zhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R ChinaZhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R China
Kuang, Zhihao
Zhao, Dandan
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Zhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R ChinaZhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R China
Zhao, Dandan
Zhang, Bo
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Shanghai Jiao Tong Univ, Sch Cyber Sci & Engn, Shanghai 200240, Peoples R ChinaZhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R China
Zhang, Bo
Qian, Cheng
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Zhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R ChinaZhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R China
Qian, Cheng
Zhong, Ming
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Zhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R ChinaZhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R China
Zhong, Ming
Han, Jianmin
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Zhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R ChinaZhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R China
Han, Jianmin
Wang, Wei
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Chongqing Med Univ, Sch Publ Hlth, Chongqing 400016, Peoples R ChinaZhejiang Normal Univ, Sch Comp Sci & Technol, Jinhua 321004, Zhejiang, Peoples R China