On an approach to the problem of color patterns of plane graphs. II
โ Scribed by G. A. Donets
- Publisher
- Springer US
- Year
- 1974
- Tongue
- English
- Weight
- 838 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
In this note, we show that some problems related to the length of the longest simple path from a given vertex in a graph are NP-complete. We also discuss an extension to the graph coloring problem.
## Abstract For __n__ sufficiently large the order of a smallest balanced extension of a graph of order __n__ is, in the worst case, โ(__n__ + 3)^2^/8โ. ยฉ 1993 John Wiley & Sons, Inc.