We present a simple factor 6 algorithm for approximating the optimal multiplicative distortion of embedding (unweighted) graph metrics into tree metrics (thus improving and simplif...
Victor Chepoi, Feodor F. Dragan, Ilan Newman, Yuri...
Abstract. An undirected graph G = (V, E) is the k-power of an undirected tree T = (V, E ) if (u, v) ∈ E iff u and v are connected by a path of length at most k in T. The tree T ...
—The most common technology in Local Area Networks is the Ethernet protocol. The continuing evolution of Ethernet has propelled it into the scope of Metropolitan Area Networks. E...
A conjecture by D. Seese states that if a set of graphs has a decidable monadic second-order theory, then it is the image of a set of trees under a transformation defined by monad...
In this paper, we study the k-tree partition problem which is a partition of the set of edges of a graph into k edge-disjoint trees. This problem occurs at several places with appl...