A tree t-spanner T in a graph G is a spanning tree of G such that the distance between every pair of vertices in T is at most t times their distance in G. The tree t-spanner proble...
In this paper we introduce a new notion of collective tree spanners. We say that a graph G = (V, E) admits a system of µ collective additive tree r-spanners if there is a system T...
Abstract. In this paper we study the existence of a small set T of spanning trees that collectively “1-span” an interval graph G. In particular, for any pair of vertices u, v w...
Derek G. Corneil, Feodor F. Dragan, Ekkehard K&oum...
The class of interval probe graphs is introduced to deal with the physical mapping and sequencing of DNA as a generalization of interval graphs. The polynomial time recognition al...
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...