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math.CO2009★ 2 cited

Optimal Pebbling in Products of Graphs

David S. Herscovici, Benjamin D. Hester, Glenn H. Hurlbert

We prove a generalization of Graham's Conjecture for optimal pebbling with arbitrary sets of target distributions. We provide bounds on optimal pebbling numbers of products of comp…

math.CO2009★ 2 cited

Generalizations of Graham's Pebbling Conjecture

David S. Herscovici, Benjamin D. Hester, Glenn H. Hurlbert

We investigate generalizations of pebbling numbers and of Graham's pebbling conjecture that pi(GxH) <= pi(G)pi(H), where pi(G) is the pebbling number of the graph G. We develop new…