The harmonious chromatic number of a graph G, denoted by h(G), is the least number of colors needed to color the vertices of G in such a way that adjacent vertices are colored by different colors and any two distinct edges receive different color pairs. D. Johnson has shown that the problem of deter
The harmonious chromatic number of a complete binary and trinary tree
โ Scribed by Zhikang Lu
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 548 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
Lu, Z., The harmonious chromatic number of a complete binary and trinary tree, Discrete Mathematics 118 (1993) 1655172.
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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
## Abstract The upper bound for the harmonious chromatic number of a graph given by Zhikang Lu and by C. McDiarmid and Luo Xinhua, independently (__Journal of Graph Theory__, 1991, pp. 345โ347 and 629โ636) and the lower bound given by D. G. Beane, N. L. Biggs, and B. J. Wilson (__Journal of Graph T
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