Elvir Cajic
Biography
Affiliation:
- University of Tuzla, Department of Mathematics and Physics
- EU Kallos Tuzla, Doctoral Program in Mathematics and Physics
Current Position:
- PhD Candidate in Mathematical Structures and Applications
- Lecturer and researcher in Algebra, Discrete Mathematics, and Theoretical Informatics
Conferences and Presentations:
- Presenter at international conferences in Switzerland (CERN), UAE, Turkey, Spain, and Bosnia and Herzegovina
- Invited speaker on stochastic models and combinatorial structures
Research Interest
? Boolean Algebra and Incidence Structures
? Finite Geometry and Seminet Theory
? Stochastic Algorithms and Optimization
? Algebraic Combinatorics
? Discrete Topology and Galois Connections
Abstract
Boolean-Algebraic Framework for Maximal-Degree U-k-Seminets: Theoretical Foundations and Computational Advances
This talk presents a novel Boolean-algebraic framework for the construction and classification of maximal-degree U-k-seminets. Building on and extending the foundational work of Gali? (1990, 1997), we introduce several original theorems establishing spectral and duality bounds for the maximal degree ? as a function of t and d. A hybrid algorithm (GC??C?G) combining algebraic rigidity and stochastic search is introduced, achieving efficient seminet generation via compatibility graphs, Galois duality, and Boolean incidence matrices. Applications span finite geometry, coding theory, and discrete topology, with implications for network design and artificial intelligence.
