A set of vertices C in a graph is convex if it contains all vertices which lie on shortest paths between vertices in C. The convex hull of a set of vertices S is the smallest conve...
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...
A system of linear equations in p unknowns Mx = b is said to have the removal property if every set S ⊆ {1, . . . , n} which contains o(np− ) solutions of Mx = b can be turned...
A set of vertices D of a graph G is geodetic if every vertex of G lies on a shortest path between two not necessarily distinct vertices in D. The geodetic number of G is the minimu...
Given a graph G = (V, E) with node weights v N {0}, v V , and some number F N{0}, the convex hull of the incidence vectors of all cuts (S), S V with (S) F and (V \ S) F is ...
Michael Armbruster, Christoph Helmberg, Marzena F&...