For a graph G = (V, E) we consider vertex-k-labellings f : V → {1, 2, . . . , k} for which the induced edge weighting w : E → {2, 3, . . . , 2k} with w(uv) = f(u) + f(v) is inj...
Stephan Brandt, Jozef Miskuf, Dieter Rautenbach, F...
The problem of coloring a set of n intervals (from the real line) with a set of k colors is studied. In such a coloring, two intersecting intervals must receive distinct colors. O...
Given a poset P = (X, ), a partition X1, . . . , Xk of X is called an ordered partition of P if, whenever x Xi and y Xj with x y, then i j. In this paper, we show that for ever...
Given an undirected graph G = (V;E) and three speci ed terminal nodes t1;t2;t3, a 3-cut is a subset A of E such that no two terminals are in the same component of GnA. If a non-neg...
Kevin K. H. Cheung, William H. Cunningham, Lawrenc...
— We take a structural approach to the problem of designing the edge weights in an undirected graph subject to an upper bound on their total, so as to maximize the algebraic conn...
Yan Wan, Sandip Roy, Xu Wang, Ali Saberi, Tao Yang...