$k-$regular decomposable incidence structure of maximum degree
Mathematica Moravica, Tome 27 (2023) no. 2.

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This paper discusses incidence structures and their rank. The aim of this paper is to prove that there exists a regular decomposable incidence structure $ \mathcal{J}=\left(\mathbb{P},\mathcal{B} \right) $ of maximum degree depending on the size of the set and a predetermined rank. Furthermore, an algorithm for construction of this structures is given. In the proof of the main result, the points of the set $\mathbb{P}$ are shown by Euler’s formula of complex number. Two examples of construction the described incidence structures of maximum degree 6 and maximum degree 30 are given.
Mots-clés : Regular incidence structure, partition, Euler’s formula of complex number. 
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     title = {$k-$regular decomposable incidence structure of maximum degree},
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Dejan Stošović; Anita Katić; Dario Galić. $k-$regular decomposable incidence structure of maximum degree. Mathematica Moravica, Tome 27 (2023) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2023_27_2_a7/