Antimagic Properties of Graphs with Large Maximum Degree
β Scribed by Zelealem B. Yilma
- Book ID
- 112121127
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 503 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It is proved that a planar graph with maximum degree β β₯ 11 has total (vertex-edge) chromatic number β + 1.
Vizing's Theorem, any graph G has chromatic index equal either to its maximum degree A(G) or A(G) + 1. A simple method is given for determining exactly the chromatic index of any graph with 2s + 2 vertices and maximum degree 2s.
Graphs with n + k vertices in which every set of n +j vertices induce a subgraph of maximum degree at least n are considered. For j = 1 and for k fairly small compared to n, we determine the minimum number of edges in such graphs.