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On harmonious coloring of hypergraphs.
- Source :
-
Discrete Mathematics & Theoretical Computer Science (DMTCS) . 2024, Vol. 26 Issue 2, p1-5. 5p. - Publication Year :
- 2024
-
Abstract
- A harmonious coloring of a k-uniform hypergraph H is a vertex coloring such that no two vertices in the same edge have the same color, and each k-element subset of colors appears on at most one edge. The harmonious number h(H) is the least number of colors needed for such a coloring. The paper contains a new proof of the upper bound h(H) = O( k√k k!m) on the harmonious number of hypergraphs of maximum degree ∆ with m edges. We use the local cut lemma of A. Bernshteyn. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13658050
- Volume :
- 26
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics & Theoretical Computer Science (DMTCS)
- Publication Type :
- Academic Journal
- Accession number :
- 179346143