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Counterexamples to a Monotonicity Conjecture for the Threshold Pebbling Number
combinatorics probability theory graph theory graph pebbling pebbling number pebbling threshold
2011/9/20
Abstract: 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 p...
An Explicit Solution to the Chessboard Pebbling Problem
Chessboard pebbling reachable configurations asymptotics
2010/12/14
We consider the chessboard pebbling problem analyzed by Chung, Graham, Morrison and Odlyzko [3]. We study the number of reachable configurations G(k) and a related double sequence G(k,m). Exact expres...
