Given a graph G, a function f : V (G) {1, 2, . . . , k} is a k-ranking of G if f (u) = f (v) implies every u - v path contains a vertex w such that f (w) > f (u). A k-ranking ...
Victor Kostyuk, Darren A. Narayan, Victoria A. Wil...
Abstract. We describe fully polynomial time approximation schemes for various multicommodity flow problems in graphs with m edges and n vertices. We present the first approximation...
Abstract. We consider a collaboration of peers autonomously crawling the Web. A pivotal issue when designing a peer-to-peer (P2P) Web search engine in this environment is query rou...
Sebastian Michel, Matthias Bender, Peter Triantafi...
The class of bipartite permutation graphs is the intersection of two well known graph classes: bipartite graphs and permutation graphs. A complete bipartite decomposition of a bip...
We investigate the minimization problem of the minimum degree of minimal Ramsey graphs, initiated by Burr, Erd˝os, and Lov´asz. We determine the corresponding graph parameter fo...