𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Graham’s pebbling conjecture on products of many cycles

✍ Scribed by David S. Herscovici


Book ID
108113981
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
703 KB
Volume
308
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Graham's pebbling conjecture on products
✍ David S. Herscovici 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 113 KB

## Abstract Chung 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 of a connected graph is the smallest number __f__(__G__) such that any distribution of __f__(__G__) pebbles on __G__

A note on a conjecture about cycles with
✍ Tao Jiang 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 44 KB

## Abstract Given positive integers __n__ and __k__, let __g__~__k__~(__n__) denote the maximum number of edges of a graph on __n__ vertices that does not contain a cycle with __k__ chords incident to a vertex on the cycle. Bollobás conjectured as an exercise in [2, p. 398, Problem 13] that there e

On a conjecture of Erdős, Graham and Spe
✍ Yong-Gao Chen 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 102 KB

It is conjectured by Erdős, Graham and Spencer that if 1 a 1 a 2 • • • a s with s i=1 1/a i < n -1/30, then this sum can be decomposed into n parts so that all partial sums are 1. This is not true for s i=1 1/a i = n -1/30 as shown by In 1997, Sándor proved that Erdős-Graham-Spencer conjecture is t