2020/12/07 by Sayaka Kamei, Kamei, Sayaka, Sébastien Tixeuil +1 · 1 citation
Computer Science · #Distributed #Distributed systems and fault tolerance #FOS: Computer and information sciences #Opportunistic and Delay-Tolerant Networks #Optimization and Search Problems #Parallel #and Cluster Computing (cs.DC)
paper · doi:10.48550/arxiv.2012.03399
openalex publication_date 2020/12/07 · openalex created_date 2022/11/30 · openalex updated_date 2026/07/28
We consider the problem of constructing a maximum independent set with mobile myopic luminous robots on a grid network whose size is finite but unknown to the robots. In this setting, the robots enter the grid network one-by-one from a corner of the grid, and they eventually have to be disseminated on the grid nodes so that the occupied positions form a maximum independent set of the network. We assume that robots are asynchronous, anonymous, silent, and they execute the same distributed algorithm. In this paper, we propose two algorithms: The first one assumes the number of light colors of each robot is three and the visible range is two, but uses additional strong assumptions of port-numbering for each node. To delete this assumption, the second one assumes the number of light colors of each robot is seven and the visible range is three. In both algorithms, the number of movements is O(n(L+l)) steps where n is the number of nodes and L and l are the grid dimensions.