𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Graphs of degree 4 are 5-edge-choosable

✍ Scribed by Juvan, Martin; Mohar, Bojan; ??krekovski, Riste


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
312 KB
Volume
32
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

✦ Synopsis


It is shown that every simple graph with maximal degree 4 is 5-edgechoosable.


πŸ“œ SIMILAR VOLUMES


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__)∈_

Improper choosability of graphs and maxi
✍ FrΓ©dΓ©ric Havet; Jean-SΓ©bastien Sereni πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 174 KB

## Abstract Improper choosability of planar graphs has been widely studied. In particular, Ε krekovski investigated the smallest integer __g__~k~ such that every planar graph of girth at least __g__~k~ is __k__‐improper 2‐choosable. He proved [9] that 6 ≀ __g__~1~ ≀ 9; 5 ≀  __g__~2~ ≀ 7; 5 ≀ __g__~3

Acyclic edge coloring of graphs with max
✍ Manu Basavaraju; L. Sunil Chandran πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 168 KB πŸ‘ 1 views

## Abstract An __acyclic__ edge coloring of a graph is a proper edge coloring such that there are no bichromatic cycles. The __acyclic chromatic index__ of a graph is the minimum number __k__ such that there is an acyclic edge coloring using __k__ colors and is denoted by __a__β€²(__G__). It was conj

Light subgraphs in planar graphs of mini
✍ B. Mohar; R. Ε krekovski; H.-J. Voss πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 326 KB πŸ‘ 1 views

## Abstract A graph __H__ is light in a given class of graphs if there is a constant __w__ such that every graph of the class which has a subgraph isomorphic to __H__ also has a subgraph isomorphic to __H__ whose sum of degrees in __G__ is ≀ __w__. Let $\cal G$ be the class of simple planar graphs

Defective choosability of graphs with no
✍ Douglas R. Woodall πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 76 KB

## Abstract It is proved that, if __s__ β‰₯ 2, a graph that does not have __K__~2~ + __K__~__s__~ = __K__~1~ + __K__~1, __s__~ as a minor is (__s__, 1)\*‐choosable. This completes the proof that such a graph is (__s__ + 1β€‰βˆ’β€‰__d__,__d__)\*‐choosable whenever 0 ≀ __d__ ≀ __s__β€‰βˆ’1 Β© 2003 Wiley Periodica