𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The complexity of planar graph choosability

✍ Scribed by Shai Gutner


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
553 KB
Volume
159
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Choosability of planar graphs
✍ Margit Voigt πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 175 KB

A graph G = G(EE) with lists L(v), associated with its vertices v E V, is called L-list colourable if there is a proper vertex colouring of G in which the colour assigned to a vertex v is chosen from L(v). We say G is k-choosable if there is at least one L-list colouring for every possible list assi

Every Planar Graph Is 5-Choosable
✍ C. Thomassen πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 56 KB

We prove the statement of the title, which was conjectured in 1975 by V. G. Vizing and, independently, in 1979 by P. ErdΓΆs, A. L. Rubin, and H. Taylor. (i) 1994 Academic Press, Inc.

On 3-colorable non-4-choosable planar gr
✍ Voigt, M.; Wirth, B. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 72 KB πŸ‘ 2 views

An L-list coloring of a graph G is a proper vertex coloring in which every vertex v gets a color from a list L(v) of allowed colors. G is called k-choosable if all lists L(v) have exactly k elements and if G is L-list colorable for all possible assignments of such lists. Verifying conjectures of Erd

Acyclic 5-choosability of planar graphs
✍ MickaΓ«l Montassier; AndrΓ© Raspaud; Weifan Wang πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 188 KB πŸ‘ 1 views

## Abstract A proper vertex coloring of a graph __G__ = (__V,E__) is acyclic if __G__ contains no bicolored cycle. A graph __G__ is acyclically __L__‐list colorable if for a given list assignment __L__ = {__L__(__v__): __v__:β€‰βˆˆβ€‰__V__}, there exists a proper acyclic coloring ϕ of __G__ such that Ο•(_

Choosability, Edge Choosability, and Tot
✍ Wang Weifan; Ko-Wei Lih πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 101 KB

Let Ο‡ l (G), Ο‡ l (G), Ο‡ l (G), and (G) denote, respectively, the list chromatic number, the list chromatic index, the list total chromatic number, and the maximum degree of a non-trivial connected outerplane graph G. We prove the following results. ( 1 and only if G is an odd cycle. This proves the

Planar graphs without 4-cycles are acycl
✍ Weifan Wang; Min Chen πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 190 KB

## Abstract A proper vertex coloring of a graph __G__=(__V, E__) is acyclic if __G__ contains no bicolored cycle. A graph __G__ is acyclically __L__‐list colorable if for a given list assignment __L__={__L__(__v__)|__v__∈__V__}, there exists a proper acyclic coloring Ο€ of __G__ such that Ο€(__v__)∈_