The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
We study the problem of adding edges to an arbitrary graph so that the resulting graph is an interval graph. Our objective is to add an inclusion minimal set of edges, which means ...
Pinar Heggernes, Karol Suchan, Ioan Todinca, Yngve...
Let a, b and n be nonnegative integers (b a, b > 0, n 1), Gn(a, b) be a multigraph on n vertices in which any pair of vertices is connected with at least a and at most b edges ...
We prove several quantitative Ramseyan results involving ternary complete trees with {0, 1}-labeled edges where we attempt to find a complete binary subtree with as few labels as ...
Rodney G. Downey, Noam Greenberg, Carl G. Jockusch...