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compact distributed certification of planner graphs by lauren feiyule pierfregno ivan rappaport eddie cremilla ianto inca and pedro montaler who speaks im hello im pero montelegre im from adolf hillanes in santiago chi planar graphs are among the most student classes of graphs in the context of algorithm design and analysis in particular planar graphs enable the design of algorithms probably faster than for general graphs in the context of distributed network computing too planar graphs have been the source of many contributions for instance a distributed algorithm a product approximating the minimum dominating set with a constant factor in the cons in a constant number of rounds has been designed for planar graphs by lanson osvald and badenhoffer in 2008. in contrast even poly logarithmic approximation of the minimum dominating set problem requires omega of log n over log log n rounds in arbitrary and node networks another example is an algorithm in the conscious model computing a
