The weight function lemma for graph pebbling

G Hurlbert - Journal of Combinatorial Optimization, 2017 - Springer
Graph pebbling is a network model for studying whether or not a given supply of discrete
pebbles can satisfy a given demand via pebbling moves. A pebbling move across an edge …

[HTML][HTML] Pebbling in semi-2-trees

L Alcón, M Gutierrez, G Hurlbert - Discrete Mathematics, 2017 - Elsevier
Graph pebbling is a network model for transporting discrete resources that are consumed in
transit. Deciding whether a given configuration on a particular graph can reach a specified …

Graph pebbling: A blend of graph theory, number theory, and optimization

G Hurlbert, F Kenter - Notices of the American Mathematical Society, 1900 - ams.org
Graph Pebbling: A Blend of Graph Theory, Number Theory, and Optimization Page 1 Graph
Pebbling: A Blend of Graph Theory, Number Theory, and Optimization Glenn Hurlbert and …

Pebbling in 2-paths

L Alcón, M Gutierrez, G Hurlbert - Electronic Notes in Discrete Mathematics, 2015 - Elsevier
Graph pebbling is a network model for transporting discrete resources that are consumed in
transit. Deciding whether a given configuration on a particular graph can reach a specified …

[HTML][HTML] Graph pebbling algorithms and Lemke graphs

CA Cusack, A Green, A Bekmetjev, M Powers - Discrete Applied …, 2019 - Elsevier
Given a simple, connected graph, a pebbling configuration (or just configuration) is a
function from its vertex set to the nonnegative integers. A pebbling move between adjacent …

Critical pebbling numbers of graphs

CR Gibbons, JD Laison, EJ Paul - arXiv preprint arXiv:1501.04236, 2015 - arxiv.org
We define three new pebbling parameters of a connected graph $ G $, the $ r $-, $ g $-, and
$ u $-critical pebbling numbers. Together with the pebbling number, the optimal pebbling …

Generalization of the Cover Pebbling Number for Networks

ZJ Xia, ZM Hong - Frontiers in Physics, 2020 - frontiersin.org
Pebbling can be viewed as a model of resource transportation for networks. We use a graph
to denote the network. A pebbling move on a graph consists of the removal of two pebbles …

Generalization of the cover pebbling number on trees

ZJ Xia, ZM Hong - arXiv preprint arXiv:1903.04867, 2019 - arxiv.org
A pebbling move on a graph consists of taking two pebbles off from one vertex and add one
pebble on an adjacent vertex, the $ t $-pebbling number of a graph $ G $ is the minimum …

Pebbling on Jahangir graphs

ZJ Xia, ZM Hong, FY Chen - arXiv preprint arXiv:1705.00190, 2017 - arxiv.org
The pebbling number of a graph $ G $, $ f (G) $, is the least $ p $ such that, however $ p $
pebbles are placed on the vertices of $ G $, we can move a pebble to any vertex by a …

[PDF][PDF] Pebbling in 2-Paths

LAM Gutierreza, G Hurlbertb - glennhurlbert.github.io
Graph pebbling is a network model for transporting discrete resources that are consumed in
transit. Deciding whether a given configuration on a particular graph can reach a specified …