𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bounds on Edge Colorings with Restrictions on the Union of Color Classes

✍ Scribed by Aravind, N. R.; Subramanian, C. R.


Book ID
118197048
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
217 KB
Volume
24
Category
Article
ISSN
0895-4801

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


An upper bound on the number of edges of
✍ Lian-ying Miao; Shi-you Pang; Jian-liang Wu πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 100 KB

In this paper, we prove that any edge-coloring critical graph G with maximum degree ¿ (11 + √ 49 -24 )=2, where 6 1, has the size at least 3(|V (G)| -) + 1 if 6 7 or if ¿ 8 and |V (G)| ¿ 2 --4 -( + 6)=( -6), where is the minimum degree of G. It generalizes a result of Sanders and Zhao.

On the edge-coloring problem for a class
✍ F. Jaeger; H. Shank πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 300 KB πŸ‘ 1 views

## Abstract A (plane) 4‐regular map __G__ is called __C__‐simple if it arises as a superposition of simple closed curves (tangencies are not allowed); in this case Οƒ (__G__) is the smallest integer __k__ such that the curves of __G__ can be colored with __k__ colors in such a way that no two curves

Erratum: On the edge-coloring problem fo
✍ F. Jaeger; H. Shank πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 37 KB πŸ‘ 1 views

On p. 272 of the above article, paragraph # 3 is incomplete. It should read as the following: Hence to prove Proposition 4 it is enough to show that the edges of Q 4 can be colored with 4 colors in such a way that each square has one edge of each color. Such a coloring is displayed on the following