Projektleitung Kunststoffmetallisierung mittels laserinduzierter Aktivierung und computergestützter Prozessmodellierung (KAP) TP4 gefördert von Europäischer Sozialfonds (ESF) 2024 - 2026 Innovationsvorhaben zur Profilschärfung 2022, AP 4.3 SanoCoin - Blockchain-basiertes Rewardsystem im Gesundheitsbereich gefördert von Sächsisches Staatsministerium für Wissenschaft, Kultur und Tourismus 2022
ausgewählte Veröffentlichungen Artikel How Mathematics Keeps Our Data Safe: The RSA Cryptosystem for Regular Numbers. NextGen Scientific Review. Annual Perspectives on Next Generation Science. 44-48. 2026 ePaper Journalartikel Privacy-preserving nearest prototype classifier. Neurocomputing. 132673. 2026 An Abstraction of Whitney's Broken Circuit Theorem. The Electronic Journal of Combinatorics. P4.32. 2014 Lower bounds for the probability of a union via chordal graphs. Electronic Communications in Probability. 2013 Domination Reliability. The Electronic Journal of Combinatorics. P15. 2012 An inductive proof of Whitney's Broken Circuit Theorem. Discussiones Mathematicae Graph Theory. 509. 2011 Improved Bonferroni Inequalities and Binomially Bounded Functions. Discrete Applied Mathematics. 2010 Bonferroni-type inequalities and binomially bounded functions. Discrete Mathematics. 1265-1268. 2010 Improved Bonferroni Inequalities and Binomially Bounded Functions. Electronic Notes in Discrete Mathematics. 91-93. 2007 Bonferroni-Galambos Inequalities for Partition Lattices. The Electronic Journal of Combinatorics. R85. 2004 A new two-variable generalization of the chromatic polynomial. Discrete Mathematics & Theoretical Computer Science. 335. 2003 Improved Bonferroni Inequalities via Abstract Tubes 2003 A Note on Zeilberger's Abstract Lace Expansion. Advances in Applied Mathematics. 272-277. 2002 Bonferroni-Type Inequalities via Chordal Graphs. Combinatorics, Probability and Computing. 349-351. 2002 Improved Inclusion-Exclusion Identities and Bonferroni Inequalities with Reliability Applications. SIAM Journal on Discrete Mathematics. 156-171. 2002 A Note on Narushima's Principle of Inclusion–Exclusion on Partition Lattices. Graphs and Combinatorics. 607-610. 2001 Improved Bonferroni Inequalities via Union-Closed Set Systems. Journal of Combinatorial Theory, Series A. 61-67. 2000 Improved inclusion-exclusion identities via closure operators. Discrete Mathematics & Theoretical Computer Science. 275. 2000 Inclusion-exclusion: Which terms cancel?. Archiv der Mathematik. 314-316. 2000 On the Number of Precolouring Extensions. European Journal of Combinatorics. 989-992. 2000 Some remarks on the sieve formula, the Tutte polynomial and Crapo's beta invariant. Aequationes mathematicae. 108-115. 2000 An Upper Bound to the Chromatic Number of a Uniform Hypergraph without Cycles of Length Two or Three. Results in Mathematics. 55-56. 1999 An improvement of the inclusion-exclusion principle. Archiv der Mathematik. 298-303. 1999 Improved Inclusion-Exclusion Identities and Inequalities Based on a Particular Class of Abstract Tubes. Electronic Journal of Probability. 1999 On Sums Over Partially Ordered Sets. The Electronic Journal of Combinatorics. R34. 1999 Bounds to the Chromatic Polynomial of a Graph. Results in Mathematics. 87-88. 1998 Inclusion-Exclusion and Network Reliability. The Electronic Journal of Combinatorics. R36. 1998 A Broken-Circuits-Theorem for hypergraphs. Archiv der Mathematik. 159-162. 1995 A Contribution to The Chromatic Theory of Uniform Hypergraphs. Results in Mathematics. 49-52. 1995 Lower bounds and upper bounds for chromatic polynomials. Journal of Graph Theory. 75-80. 1993 Konferenzpaper Learning of Probability Estimates for System and Network Reliability Analysis by Means of Matrix Learning Vector Quantization. ESANN 2025 proceedings, European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning. 11-16. 2025 Towards Learning Vector Quantization in the Setting of Homomorphic Encryption. ESANN 2025 proceedings, European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning. 407-412. 2025 Monographie Improved Inclusion-Exclusion Identities and Bonferroni Inequalities with Applications to Reliability Analysis of Coherent Systems