𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Planar graphs without triangles adjacent to cycles of length from 4 to 7 are 3-colorable

✍ Scribed by O.V. Borodin; A.N. Glebov; A. Raspaud


Book ID
108114224
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
468 KB
Volume
310
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Planar graphs without 4-cycles adjacent
✍ Oleg V. Borodin; Anna O. Ivanova πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 80 KB

## Abstract It is known that not all planar graphs are 4‐choosable; neither all of them are vertex 2‐arborable. However, planar graphs without 4‐cycles and even those without 4‐cycles adjacent to 3‐cycles are known to be 4‐choosable. We extend this last result in terms of covering the vertices of a

Structural properties of plane graphs wi
✍ O. V. Borodin πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 190 KB πŸ‘ 1 views

If in a plane graph with minimum degree 2 3 no t w o triangles have an edge in common, then: (1 there are two adjacent vertices with degree sum at most 9, and (2) there is a face of size between 4 and 9 or a 10-face incident with ten 3-vertices. It follows that every planar graph without cycles betw