Pebbling in dense graphs

  title={Pebbling in dense graphs},
  author={Andrzej Czygrinow and Glenn H. Hurlbert},
  journal={Australasian J. Combinatorics},
A configuration of pebbles on the vertices of a graph is solvable if one can place a pebble on any given root vertex via a sequence of pebbling steps. The pebbling number of a graph G is the minimum number π(G) so that every configuration of π(G) pebbles is solvable. A graph is Class 0 if its pebbling number equals its number of vertices. A function is a pebbling threshold for a sequence of graphs if a randomly chosen configuration of asymptotically more pebbles is almost surely solvable, while… CONTINUE READING

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