Abstract
This paper addresses the connected maximum coverage problem, motivated by the detection of mutated driver pathways in cancer. The connected maximum coverage problem is NP-hard and therefore approximation algorithms are of interest. We provide here an approximation algorithm for the problem with an approximation bound that strictly improves on previous results. A second approximation algorithm with faster run time, though worse approximation factor, is presented as well. The two algorithms are then applied to submodular maximization over a connected subgraph, with a monotone submodular set function, delivering the same approximation bounds as for the coverage maximization case.
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