kombinatorikus

Kombinatorikus is the Hungarian adjective corresponding to the English term "combinatorial" and is used to describe concepts, objects and methods related to combinatorics, the branch of mathematics concerned with counting, arrangement and selection of discrete structures. In mathematical contexts, kombinatorikus qualifies problems, proofs and techniques that rely on discrete enumeration, graph structures, finite configurations, or combinatorial reasoning.

As a descriptor, kombinatorikus appears in phrases such as kombinatorikus problémák (combinatorial problems), kombinatorikus bizonyítás (combinatorial proof) and kombinatorikus módszerek (combinatorial methods). Core topics associated with kombinatorikus approaches include permutations and combinations, graph theory, design theory, extremal combinatorics, coding theory and the study of combinatorial designs and finite geometries. Standard techniques include bijections, generating functions, recurrence relations, the principle of inclusion–exclusion and probabilistic methods.

Kombinatorikus methods have broad applications in computer science (algorithms, complexity theory, data structures), optimization, statistical physics, cryptography and information theory. Historically, combinatorial ideas date back to classical problems of counting and arrangement; the formal development of combinatorics as a modern mathematical discipline expanded in the 19th and 20th centuries. In everyday and academic Hungarian usage, kombinatorikus signals that a subject or argument is grounded in discrete, often constructive reasoning rather than continuous or analytic approaches.