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We review and explain an infinite-dimensional counterpart of the Hurwitztheory realization of algebraic open-closed string model a la Moore andLizaroiu, where the closed and open sectors are represented by conjugationclasses of permutations and the pairs of permutations, i.e. by the algebra ofYoung diagrams and bipartite graphes respectively. An intriguing feature ofthis Hurwitz string model is coexistence of two different multiplications,reflecting the deep interrelation between the theory of symmetric and lineargroups S_\infty and GL(\infty).

A Hurwitz theory avatar of open-closed strings