arXiv · 1705.00190
Pebbling on Jahangir graphs
Abstract
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 sequence of moves, each move taking two pebbles off one vertex and placing one on an adjacent vertex. In this paper, we will show the pebbling number of Jahangir graphs $J_{n,m}$ with $n$ even, $m\geq8$.
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Zheng-Jiang Xia, Zhen-Mu Hong, Fu-Yuan Chen. 2017-04-29. Pebbling on Jahangir graphs. https://arxiv.org/abs/1705.00190
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