On the new bound for the number of solutions of polynomial equations in subgroups and the structure of graphs of Markoff triples

S. V. Konyagin, S. V. Makarychev, I. E. Shparlinski +1

We sharpen the bounds of J. Bourgain, A. Gamburd and P. Sarnak (2016) on the possible number of nodes outside the "giant component" and on the size of individual connected componen…