On the Path-Chromatic Number of a Graph
โ Scribed by GARRY JOHNS; FARROKH SABA
- Book ID
- 119862776
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 248 KB
- Volume
- 576
- Category
- Article
- ISSN
- 0890-6564
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The harmonious chromatic number of a graph G, denoted by h(G), is the least number of colon which can be assigned to the vertices of G such that adjacent vertices are colored differently and any two distinct edges have different color pairs. This is a slight variation of a definition given independe
We give an upper bound on the chromatic number of a graph in terms of its maximum degree and the size of the largest complete subgraph. Our result extends a theorem due to i3rook.s.
The least number of colors needed to color the vertices of a graph G such that the vertices in each color class induces a linear forest is called the path-chromatic number of G, denoted by Zoo (G). If all such colorings of the vertices of G induce the same partitioning of the vertices of G, we say