A Survey of Graph Pebbling

dc.creatorHurlbert, Glenn
dc.date2004-06-01
dc.date.accessioned2026-07-07T05:08:47Z
dc.date.available2026-07-07T05:08:47Z
dc.descriptionWe survey results on the pebbling numbers of graphs as well as their historical connection with a number-theoretic question of Erd\H os and Lemke. We also present new results on two probabilistic pebbling considerations, first the random graph threshold for the property that the pebbling number of a graph equals its number of vertices, and second the pebbling threshold function for various natural graph sequences. Finally, we relate the question of the existence of pebbling thresholds to a strengthening of the normal property of posets, and show that the multiset lattice is not supernormal.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0406024
dc.identifierhttp://arxiv.org/abs/math/0406024
dc.identifierCongressus Numerantium 139 (1999), 41-64
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71403
dc.subjectCombinatorics
dc.subject05C35, 05C99, 05D05, 06A07, 11B75
dc.titleA Survey of Graph Pebbling
dc.typetext

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