Determining the number of causal operators displaying one graph to another graph

Aksubaev К., Aksyutina I.

In this paper, the methodology of academician L. S. Pontryagin from the theory of differential games was applied to matrix games. According to it, the matrix game is divided into escape game and pursuit game. And the number of causal operators mapping one binary graph to another binary graph in a pursuit game is calculated. The result is extended to causal maps of graphs with arbitrary bases.

Keywords:causal operators, cellular matrix, matrix games, game graphs.