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Linear time algorithm for computing the rank of divisors on cactus graphs

Published 12 Jan 2016 in math.CO, cs.DM, and cs.DS | (1601.03038v1)

Abstract: Rank of divisor on graph was introduced in 2007 and it quickly attracts many attentions. Recently, in 2015 the problem for computing this quantity was proved to be NP-hard. In this paper, we describe a linear time algorithm for this problem limited on cactus graphs.

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