We will describe connections of the two games with a number of different problems such as Multidimensional Matching, Set Packing, Edge Dominating Set, and Hamiltonian Path. These connections will help us show algorithmic as well as hardness results for variations of both games in the classical and the parameterized sense. The connections described are two-fold as our results will, in several cases, imply progress for the state of the art of the corresponding graph-theoretic problems.
This talk will include results from two different publications: "The computational complexity of the game of SET", joint with Michael Lampis, LATIN 2014, and "Parameterized Edge Hamiltonicity", joint with Michael Lampis, Kazuhisa Makino, and Yushi UNO, WG 2014.