Abstract
We study the problem of maximizing a non-negative monotone k-submodular function f under a knapsack constraint, where a k-submodular function is a natural generalization of a submodular function to k dimensions. We present a deterministic (12−12e)-approximation algorithm that evaluates fO(n4k3) times, based on the result of Sviridenko (2004) on submodular knapsack maximization.
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