𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Axiom of choice and chromatic number of the plane

✍ Scribed by Saharon Shelah; Alexander Soifer


Book ID
108396269
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
110 KB
Volume
103
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Edge-face chromatic number and edge chro
✍ Rong Luo; Cun-Quan Zhang πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 201 KB

## Abstract Given a simple plane graph __G__, an edge‐face __k__‐coloring of __G__ is a function Ο• : __E__(__G__) βˆͺ __F__(G) →  {1,…,__k__} such that, for any two adjacent or incident elements __a__, __b__ ∈ __E__(__G__) βˆͺ __F__(__G__), Ο•(__a__) ≠ ϕ(__b__). Let Ο‡~e~(__G__), Ο‡~ef~(__G__), and Ξ”(__G_

The axiom of choice
✍ Jech T.J. πŸ“‚ Library πŸ“… 1973 πŸ› North-Holland 🌐 English βš– 1 MB

Comprehensive in its selection of topics and results, this self-contained text examines the relative strengths and the consequences of the axiom of choice. Subjects include consistency and independence, permutation models, and examples and counterexamples of the axiom's use. Each chapter contains se

Upper chromatic number of finite project
✍ GΓ‘bor BacsΓ³; Zsolt Tuza πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 135 KB

## Abstract For a finite projective plane $\Pi$, let $\bar {\chi} (\Pi)$ denote the maximum number of classes in a partition of the point set, such that each line has at least two points in the same partition class. We prove that the best possible general estimate in terms of the order of projectiv