English
In this paper, we study the problem of deciding whether the total domination number of a given graph Gcan be reduced using exactly one edge contraction (called1-Edge Contraction(γt)). We focus on several graph classes and determine the computational complexity of this problem. By putting together these results, we manage to obtain a complete complexity dichotomy for H-free graphs.
Faculty
Faculté des sciences économiques et sociales et du management