Counterexamples to a Monotonicity Conjecture for the Threshold Pebbling Number

Details Counterexamples to a Monotonicity Conjecture for the Threshold Pebbling Number Counterexamples to a Monotonicity Conjecture for the Threshold Pebbling Number

2011-07-25

arxiv.org/abs/1107.4902v1

Mathematics

Combinatorics

Scientific paper

Graph pebbling considers the problem of transforming configurations of
discrete pebbles to certain target configurations on the vertices of a graph,
using the so-called pebbling move. This paper provides counterexamples to a
monotonicity conjecture stated by Hurlbert et al. concerning the pebbling
number compared to the pebbling threshold.

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