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Pebbling graphs

โœ Scribed by David Moews


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
463 KB
Volume
55
Category
Article
ISSN
0095-8956

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๐Ÿ“œ SIMILAR VOLUMES


Pebbling and optimal pebbling in graphs
โœ David P. Bunde; Erin W. Chambers; Daniel Cranston; Kevin Milans; Douglas B. West ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 248 KB

## 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

Maximum pebbling number of graphs of dia
โœ Boris Bukh ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 93 KB ๐Ÿ‘ 1 views

## 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

Pebbling in diameter two graphs and prod
โœ Clarke, T. A.; Hochberg, R. A.; Hurlbert, G. H. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 151 KB ๐Ÿ‘ 1 views

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

Searching and pebbling
โœ Lefteris M. Kirousis; Christos H. Papadimitriou ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 937 KB
A comparison of two variations of a pebb
โœ Friedhelm Meyer auf der Heide ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 347 KB

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

Geometrical optics and chessboard pebbli
โœ C. Knessl ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 461 KB

## 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