Local Approximability of Minimum Dominating Set on Planar Graphs

Abstract

We show that there is no deterministic local algorithm (constant-time distributed graph algorithm) that finds a $(7-\epsilon )$-approximation of a minimum dominating set on planar graphs, for any positive constant $\epsilon$. In prior work, the best lower bound on the approximation ratio has been $5-\epsilon$; there is also an upper bound of $52$.

3 pages, 1 figure

References in corpus (1)

• Lower Bounds for Local Approximation