We present the first location oblivious distributed unit disk graph coloring algorithm having a provable performance ratio of three (i.e. the number of colors used by the algorithm is at most three times the chromatic number of the graph). This is an improvement over the standard sequential coloring algorithm since we present a new lower bound of 10/3 for the worst-case performance ratio of the sequential coloring algorithm. The previous greatest lower bound on the performance ratio of the sequential coloring algorithm was 5/2. Using simulation, we also compare our algorithm with other existing unit disk graph coloring algorithms.

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School of Computer Science

Couture, M. (Mathieu), Barbeau, M, Bose, P, Carmi, P. (Paz), & Kranakis, E. (2007). Location oblivious distributed unit disk graph coloring.