Scheduling jobs with pairwise conflicts is modeled by the graph multicoloring problem. It occurs in two versions: in the preemptive case, each vertex may get any set of colors, w...
We present a simple space saving trick that applies to many previous algorithms for transitive closure and shortest paths in dynamic directed graphs. In these problems, an update c...
Cai and Selman [CS99] defined a modification of Levin’s notion of average polynomial time and proved, for every P-bi-immune language L and every polynomial-time computable dis...
We present results related to satisfying shortest path queries on a planar graph stored in external memory. Let N denote the number of vertices in the graph and let sort(N) denote...
We show that thepermanent cannot be computed by uniform constantdepth threshold circuits of size Tn, for any function T such that for all k, Tk n = o2n. More generally, we show th...