𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Acyclic total colorings of planar graphs withoutlcycles

✍ Scribed by Xiang Yong Sun; Jian Liang Wu


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2011
Tongue
English
Weight
194 KB
Volume
27
Category
Article
ISSN
1439-7617

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Acyclic colorings of planar graphs
✍ Wayne Goddard πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 223 KB
Acyclic list 7-coloring of planar graphs
✍ O. V. Borodin; D. G. Fon-Der Flaass; A. V. Kostochka; A. Raspaud; E. Sopena πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 83 KB πŸ‘ 1 views

## Abstract The acyclic list chromatic number of every planar graph is proved to be at most 7. Β© 2002 Wiley Periodicals, Inc. J Graph Theory 40: 83–90, 2002

Acyclic edge colorings of graphs
✍ Noga Alon; Benny Sudakov; Ayal Zaks πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 102 KB

## Abstract A proper coloring of the edges of a graph __G__ is called __acyclic__ if there is no 2‐colored cycle in __G__. The __acyclic edge chromatic number__ of __G__, denoted by __aβ€²__(__G__), is the least number of colors in an acyclic edge coloring of __G__. For certain graphs __G__, __aβ€²__(_

Acyclic edge coloring of triangle-free p
✍ Manu Basavaraju; L. Sunil Chandran πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 233 KB πŸ‘ 2 views

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 conjectured by Al

Total colorings of planar graphs with la
✍ Borodin, O. V.; Kostochka, A. V.; Woodall, D. R. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 97 KB πŸ‘ 3 views

It is proved that a planar graph with maximum degree βˆ† β‰₯ 11 has total (vertex-edge) chromatic number βˆ† + 1.