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Statistical mechanics of the directed 2-distance minimal dominating set problem
《Communications in Theoretical Physics》2020年第9期132-139,共8页Yusupjan Habibulla 
supported by the doctoral startup fund of Xinjiang University of China (grant number 208-61357);the National Natural Science Foundation of China (grant number 11 465 019,11 664 040)。
The directed L-distance minimal dominating set(MDS) problem has wide practical applications in the fields of computer science and communication networks. Here, we study this problem from the perspective of purely theo...
关键词：directed 2-distance minimal dominating set belief propagation regular random graph ER random graph belief propagation decimation 
Directed Dominating Set Problem Studied by Cavity Method:Warning Propagation and Population Dynamics被引量：1
《Communications in Theoretical Physics》2018年第12期785-794,共10页Yusupjan Habibulla 
Supported by the Doctoral Startup Fund of Xinjiang University of China under Grant No.208-61357;the National Natural Science Foundation of China under Grant No.11765021
The minimal dominating set for a digraph(directed graph) is a prototypical hard combinatorial optimization problem. In a previous paper, we studied this problem using the cavity method. Although we found a solution fo...
关键词：directed minimal dominating set replica symmetry breaking Erdos-Renyi graph warning propagation survey propagation decimation 
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