An overlap representation is an assignment of sets to the vertices of a graph in such a way that two vertices are adjacent if and only if the sets assigned to them overlap. The ov...
We show that computing the lexicographically first four-coloring for planar graphs is p 2hard. This result optimally improves upon a result of Khuller and Vazirani who prove this ...
We consider the problem of orienting the edges of a graph so that the length of a longest path in the resulting digraph is minimum. As shown by Gallai, Roy and Vitaver, this edge ...
A common thread in all the recent results concerning the testing of dense graphs is the use of Szemer?edi's regularity lemma. In this paper we show that in some sense this is...
Noga Alon, Eldar Fischer, Ilan Newman, Asaf Shapir...
We present a novel distributed algorithm for the maximal independent set (MIS) problem.1 On bounded-independence graphs (BIG) our deterministic algorithm finishes in O(log n) time,...