We present some results on the harmonious colorings of the Levi graph of a 2-design, focusing on Steiner 2-designs. It is easily seen that the harmonious chromatic number of such a Levi graph is at least the number of points of the design: we study and construct Banff designs, that is, designs such that this lower bound is attained.
Buratti, M., Merola, F., Nakić, A., Rubio-Montiel, C. (2025). Banff designs: difference methods for coloring incidence graphs. THE ART OF DISCRETE AND APPLIED MATHEMATICS, 8(3) [10.26493/2590-9770.1739.91c].
Banff designs: difference methods for coloring incidence graphs
Buratti, Marco;Merola, Francesca
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2025-01-01
Abstract
We present some results on the harmonious colorings of the Levi graph of a 2-design, focusing on Steiner 2-designs. It is easily seen that the harmonious chromatic number of such a Levi graph is at least the number of points of the design: we study and construct Banff designs, that is, designs such that this lower bound is attained.File in questo prodotto:
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