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Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2025 Volume 238, Pages 59–68 (Mi into1330)

An efficient algorithm for finding final vertices in a generalized functional graph

O. V. Zubkov

Irkutsk State University

Abstract: In the paper, 2-outgoing graphs are introduced into consideration, generalizing functional graphs and modeling discrete dynamic systems of a special type. The vertices and arcs of a 2-outgoing graph are classified, paths on these graphs are defined, and some properties of these paths are proved. As a result, an efficient algorithm is constructed that, with linear complexity, constructs final vertices for paths starting at each of the vertices of a 2-outgoing graph, and its correctness is proven.

Keywords: discrete dynamic system, functional graph, algorithm complexity

UDC: 519.17

MSC: 68W40

DOI: 10.36535/2782-4438-2025-238-59-68


 English version:
Journal of Mathematical Sciences (New York), 2025, 291:3, 391–399


© Steklov Math. Inst. of RAS, 2026