𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Graph Coloring and Reverse Mathematics

✍ Scribed by James H. Schmerl


Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
133 KB
Volume
46
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Reverse Mathematics and Grundy colorings
✍ James H. Schmerl πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 137 KB

The relationship of Grundy and chromatic numbers of graphs in the context of Reverse Mathematics is investigated.

Reverse mathematics and infinite traceab
✍ Peter Cholak; David Galvin; Reed Solomon πŸ“‚ Article πŸ“… 2012 πŸ› John Wiley and Sons 🌐 English βš– 173 KB

## Abstract We analyze three applications of Ramsey’s Theorem for 4‐tuples to infinite traceable graphs and finitely generated infinite lattices using the tools of reverse mathematics. The applications in graph theory are shown to be equivalent to Ramsey’s Theorem while the application in lattice t

Asymmetric graph coloring games
✍ H. A. Kierstead πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 151 KB

## Abstract We introduce the (__a,b__)‐coloring game, an asymmetric version of the coloring game played by two players Alice and Bob on a finite graph, which differs from the standard version in that, in each turn, Alice colors __a__ vertices and Bob colors __b__ vertices. We also introduce a relat

Parallel and On-Line Graph Coloring
✍ Magnus M HalldΓ³rsson πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 209 KB

We discover a surprising connection between graph coloring in two orthogonal paradigms: parallel and on-line computing. We present a randomized on-line Ε½ . coloring algorithm with a performance ratio of O nrlog n , an improvement of log n factor over the previous best known algorithm of Vishwanathan

Scalable parallel graph coloring algorit
✍ Gebremedhin, Assefaw Hadish ;Manne, Fredrik πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 143 KB πŸ‘ 1 views