We consider instances of the maximum independent set problem that are constructed according to the following semirandom model. Let Gn,p be a random graph, and let S be a set consis...
We study the multi-dimensional version of the bin packing problem with conflicts. We are given a set of squares V = {1, 2, . . . , n} with sides s1, s2, . . . , sn [0, 1] and a co...
We study the two-dimensional version of the bin packing problem with conflicts. We are given a set of (two-dimensional) squares V = {1, 2, . . . , n} with sides s1, s2 . . . , sn ...
We study problems of reconguration of shortest paths in graphs. We prove that the shortest reconguration sequence can be exponential in the size of the graph and that it is NP-hard...
For an undirected graph G = (V, E), let Gn denote the graph whose vertex set is V n in which two distinct vertices (u1, u2, . . . , un) and (v1, v2, . . . , vn) are adjacent iff ...