## Abstract Given a distribution of pebbles on the vertices of a graph __G__, a __pebbling move__ takes two pebbles from one vertex and puts one on a neighboring vertex. The __pebbling number__ ฮ (__G__) is the least __k__ such that for every distribution of __k__ pebbles and every vertex __r__, a p
Pebbling graphs
โ Scribed by David Moews
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 463 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract Given a configuration of pebbles on the vertices of a graph __G__, a __pebbling move__ consists of taking two pebbles off some vertex __v__ and putting one of them back on a vertex adjacent to __v__. A graph is called __pebbleable__ if for each vertex __v__ there is a sequence of pebbli
Results regarding the pebbling number of various graphs are presented. We say a graph is of Class 0 if its pebbling number equals the number of its vertices. For diameter d we conjecture that every graph of sufficient connectivity is of Class 0. We verify the conjecture for d = 2 by characterizing t
The number of pebbles used in the black [black-white] pebble game corresponds to the storage requirement of the deterministic [non-deterministic] evaluation of a straight line program. Suppose a distinguished vertex of a directed acyclic graph can be pebbled with k pebbles in the black-white pebble
## Recently Chung. Graham, Morrison and Odlyzko [l] studied some combinatorial and asymptotic enumeration aspects of chessboard pebbling. In this problem, we start with a single pebble, placed at the origin (0,O) of an infinite chessboard. At each step we remove a pebble from (i,j) and repIace i