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Published in arXiv:1905.12711, 2019
The reflection equation of Cherednik is a counterpart to the celebrated Yang-Baxter equation, with importance in the theory of integrable systems. We obtain several new solutions of the reflection equation using braces building on the work of Smoktunowicz, Vendramin and Weston.
Recommended citation: K. Katsamaktsis. New Solutions to the Reflection Equation with Braces. arXiv:1905.12711 (2019)
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Published in Combinatorics, Probability and Computing, 2023
Recommended citation: K. Katsamaktsis, S. Letzter and A. Sgueglia. Rainbow Hamiltonicity in uniformly coloured perturbed digraphs. Combinatorics, Probability and Computing 33 (2024), 624–642.
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Published in Journal of Combinatorial Theory, Series B, 2023
Recommended citation: K. Katsamaktsis, S. Letzter, A. Pokrovskiy, and B. Sudakov. Ascending subgraph decomposition. arXiv:2308.11613 (2023). To appear in Journal of Combinatorial Theory, Series B.
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Published in arXiv:2310.18284, 2023
Recommended citation: K. Katsamaktsis, S. Letzter and A. Sgueglia. Rainbow subgraphs of uniformly coloured randomly perturbed graphs. arXiv:2310.18284.
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Published in European Journal of Combinatorics, 2024
Recommended citation: K. Katsamaktsis and S. Letzter. Building graphs with high minimum degree on a budget. arXiv:2401.15812 (2024). To appear in European Journal of Combinatorics.
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Published in arXiv:2501.18540, 2025
Recommended citation: F. Di Braccio, K. Katsamaktsis, J. Ma, A. Malekshahian, Z. Zhao. Leaf-to-leaf paths and cycles in degree-critical graphs. arXiv:2504.11656 (2025).
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Published in (preliminary draft), 2025
Recommended citation: K. Katsamaktsis. 2-round Ramsey games for cycles in random graphs. (2025).
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