The cover pebbling number of graphs
โ Scribed by Betsy Crull; Tammy Cundiff; Paul Feltman; Glenn H. Hurlbert; Lara Pudwell; Zsuzsanna Szaniszlo; Zsolt Tuza
- Book ID
- 108113544
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 184 KB
- Volume
- 296
- Category
- Article
- ISSN
- 0012-365X
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
Chung has defined a pebbling move on a graph G to be the removal of two pebbles from one vertex and the addition of one pebble to an adjacent vertex. The pebbling number f(G) of a connected graph is the least number of pebbles such that any distribution of f(G) pebbles on G allows one pebble to be m
Following [1] , we investigate the problem of covering a graph G with induced subgraphs G 1 ; . . . ; G k of possibly smaller chromatic number, but such that for every vertex u of G, the sum of reciprocals of the chromatic numbers of the G i 's containing u is at least 1. The existence of such ''ch