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An upper bound for the total chromatic number

✍ Scribed by H. R. Hind


Book ID
105309179
Publisher
Springer Japan
Year
1990
Tongue
English
Weight
379 KB
Volume
6
Category
Article
ISSN
0911-0119

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πŸ“œ SIMILAR VOLUMES


An upper bound for the total chromatic n
✍ H. R. Hind πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 340 KB πŸ‘ 1 views

## Abstract In this paper we consider those graphs that have maximum degree at least 1/__k__ times their order, where __k__ is a (small) positive integer. A result of Hajnal and SzemerΓ©di concerning equitable vertex‐colorings and an adaptation of the standard proof of Vizing's Theorem are used to s

An upper bound for the harmonious chroma
✍ Sin-Min Lee; John Mitchem πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 149 KB πŸ‘ 2 views

An upper bound for the harmonious chromatic number of a graph G is given. Three corollaries of the theorem are theorems or improvements of the theorems of Miller and Pritikin. The assignment of colors to the vertices of a graph such that each vertex has exactly one color has been studied for well o

A new upper bound for the harmonious chr
✍ Edwards, Keith πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 200 KB πŸ‘ 2 views

A harmonious coloring of a simple graph G is a proper vertex coloring such that each pair of colors appears together on at most one edge. The harmonious chromatic number h(G) is the least number of colors in such a coloring. We obtain a new upper bound for the harmonious chromatic number of general

A Bound on the Total Chromatic Number
✍ Michael Molloy; Bruce Reed πŸ“‚ Article πŸ“… 1998 πŸ› Springer-Verlag 🌐 English βš– 481 KB
On an upper bound for the harmonious chr
✍ Zhikang Lu πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 125 KB πŸ‘ 2 views

## Abstract The upper bound for the harmonious chromatic number of a graph that has been given by Sin‐Min Lee and John Mitchem is improved.