A comparison of two variations of a pebble game on graphs
β Scribed by Friedhelm Meyer auf der Heide
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 347 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
β¦ Synopsis
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 game. Then it can be pebbled with k'<~k(k-1)+l pebbles in the black pebble game.
π SIMILAR VOLUMES
The game of cops and robbers is played with a set of 'cops' and a 'robber' who occupy some vertices of a graph. Both sides have perfect information and they move alternately to adjacent vertices. The robber is captured if at least one of the cops occupies the same vertex as the robber. The problem i
## Abstract A graph __G__ is degreeβboundedβcolorable (briefly, dbβcolorable) if it can be properly vertexβcolored with colors 1,2, β¦, k β€ Ξ(__G__) such that each vertex __v__ is assigned a color __c__(__v__) β€ __v__. We first prove that if a connected graph __G__ has a block which is neither a com