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A complete solution to the biased Alon-Krivelevich-Spencer-Szabó criterion problem for the discrepancy game Scaffolds for Higher Tropical Grassmannians: Foundations Krahn-Szegő type inequalities for graphs $\boldsymbol{2}$-Neighbor Bootstrap Percolation on Odd Graphs Modular inequalities and Alexander polynomials of pencil type conic-line arrangements Counterexamples regarding elementary symmetric partitions Bounds on Multiple $b$-Burst Deletion-Correcting Codes The mex statistic on combinatorial structures Proper Additive Edge Colorings of Regular Graphs Off-diagonal Ramsey numbers Semi-inducibility of 4-vertex graphs Combinatorial proofs of Petrie Pieri rule and Plethystic Pieri rule On Ternary Trees and Fighting Fish Asymptotic structure. III. Excluding a fat tree Asymptotic structure. V. 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On the existence of directed strongly regular graphs with parameters (22, 9, 6, 3, 4)
Viktor A. Byzov, Igor A. Pushkarev · 2025-09-19 · via math.CO updates on arXiv.org

The paper shows the existence of a family of directed strongly regular graphs with parameters (22, 9, 6, 3, 4). The adjacency matrices of the found digraphs are composed of $3\times 3$ circulant blocks. The automorphism group of all the digraphs found is the group $\mathbb{Z}_3$. The structure of the resulting digraphs is described using concepts of skeleton and rigging.

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