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- W1544535863 abstract "Baker and Norine introduced a graph-theoretic analogue of the Riemann-Roch theory. A central notion in this theory is the rank of a divisor. In this paper we prove that computing the rank of a divisor on a graph is NP-hard. The determination of the rank of a divisor can be translated to a question about a chip-firing game on the same underlying graph. We prove the NP-hardness of this question by relating chip-firing on directed and undirected graphs." @default.
- W1544535863 created "2016-06-24" @default.
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- W1544535863 date "2015-10-01" @default.
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- W1544535863 title "Chip-firing games on Eulerian digraphs and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si3.gif display=inline overflow=scroll><mml:mstyle mathvariant=bold><mml:mi>NP</mml:mi></mml:mstyle></mml:math>-hardness of computing the rank of a divisor on a graph" @default.
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- W1544535863 doi "https://doi.org/10.1016/j.dam.2015.04.030" @default.
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