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The Complexity of Pebbling and Cover Pebbling

Nathaniel G. Watson
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Abstract

This paper discusses the complexity of graph pebbling, dealing with both traditional pebbling and the recently introduced game of cover pebbling. Determining whether a configuration is solvable according to either the traditional definition or the cover pebbling definition is shown to be NP-complete. The problem of determining the cover pebbling number for an arbitrary demand configuration is shown to be NP-hard.

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Nathaniel G. Watson. 2005-04-21. The Complexity of Pebbling and Cover Pebbling. https://arxiv.org/abs/math/0503511

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