Publications
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Most recent
| [1] | K. Dohmen and M. Lange-Geisler. General multi-prime multi-power RSA – a generalization of RSA and CRT-RSA to regular integers modulo n, 2025. Cryptology ePrint Archive, Paper 2025/1157. [ abstract ] |
| [2] | K. Dohmen and M. Lange-Geisler. On the number of regular integers modulo n and its significance to cryptography, 2025. [ arXiv ] |
| [3] | T. Davies, K. Dohmen, R. Schubert, M. Lange-Geisler, and T. Villmann. Towards learning vector quantization in the setting of homomorphic encryption. In ESANN 2025, 2025. 6 pp. [ DOI ] |
| [4] | K. Dohmen, M. Lange-Geisler, and T. Villmann. Learning of probability estimates for system and network reliability analysis by means of matrix learning vector quantization. In ESANN 2025, 2025. 6 pp. [ DOI ] |
Most cited
| [1] | K. Dohmen and P. Tittmann. Domination reliability. Electron. J. Combin., 19:#P15, 2012. [ DOI ] |
| [2] | K. Dohmen, A. Pönitz, and P. Tittmann. A new two-variable generalization of the chromatic polynomial. Discrete Math. Theor. Comput. Sci., 6(1):69–90, 2003. [ DOI | examples ] |
| [3] | K. Dohmen. Improved Bonferroni Inequalities via Abstract Tubes, volume 1826 of Lecture Notes in Mathematics. Springer-Verlag, 2003. [ DOI ] |
| [4] | K. Dohmen. An improvement of the inclusion-exclusion principle. Arch. Math., 72(4):298–303, 1999. [ DOI ] |
| [5] | K. Dohmen. Inclusion-exclusion and network reliability. Electron. J. Combin., 5:#R36, 1998. [ DOI ] |
Most notable
| [1] | K. Dohmen and M. Trinks. An abstraction of Whitney's broken circuit theorem. Electron. J. Combin., 21:#P4.32, 2014. [ DOI ] |
| [2] | K. Dohmen and P. Tittmann. Bonferroni-type inequalities and binomially bounded functions. Discrete Math., 310(6/7):1265–1268, 2010. [ DOI ] |
| [3] | K. Dohmen and P. Tittmann. Bonferroni-Galambos inequalities for partition lattices. Electron. J. Combin., 11(1):#R85, 2004. [ DOI ] |
| [4] | K. Dohmen. Improved inclusion-exclusion identities and Bonferroni inequalities with reliability applications. SIAM J. Discrete Math., 16(1):156–171, 2003. [ DOI ] |
| [5] | K. Dohmen. Bonferroni-type inequalities via chordal graphs. Comb. Probab. Comput., 11(4):349–351, 2002. [ DOI ] |
| [6] | K. Dohmen. A note on Zeilberger's abstract lace expansion. Adv. Appl. Math., 28(2):272–277, 2002. [ DOI ] |
| [7] | K. Dohmen. A note on Narushima's principle of inclusion-exclusion on partition lattices. Graphs Combin., 17(4):607–610, 2001. [ DOI ] |
| [8] | K. Dohmen. Improved Bonferroni inequalities via union-closed set systems. J. Combin. Theory Ser. A, 92(1):61–67, 2000. [ DOI ] |
| [9] | K. Dohmen. On sums over partially ordered sets. Electron. J. Combin., 6:#R34, 1999. [ DOI ] |
| [10] | K. Dohmen. Lower bounds and upper bounds for chromatic polynomials. J. Graph Theory, 17(1):75–80, 1993. [ DOI ] |
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