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On the Path-Chromatic Number of a Graph

โœ 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.


๐Ÿ“œ SIMILAR VOLUMES


Path chromatic numbers of graphs
โœ Jin Akiyama; Hiroshi Era; Severino V. Gervacio; Mamoru Watanabe ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 112 KB
On the edge-chromatic number of a graph
โœ Lowell W. Beineke; Robin J. Wilson ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 427 KB
On the harmonious chromatic number of a
โœ John Mitchem ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 755 KB

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

On Total Chromatic Number of a Graph
โœ Vijayaditya, N. ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 96 KB
A bound on the chromatic number of a gra
โœ Paul A. Catlin ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 392 KB

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.

On path-chromatically unique graphs
โœ Esperanza Blancaflor Arugay; Severino Villanueva Gervacio ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 230 KB

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