A hypergraph pair is a pair (G, H) where G and H are hypergraphs on the same set of vertices. We extend the definitions of hypertree-width [7] and generalised hypertree-width [8] ...
Given an arbitrary graph G = (V, E) and a proper interval graph H = (V, F) with E F we say that H is a proper interval completion of G. The graph H is called a minimal proper inte...
— Most proposed DHTs engage certain topology maintenance mechanisms specific to the static graphs on which they are based. The designs of these mechanisms are complicated and rep...
The line index of a graph G is the smallest k such that the kth iterated line graph of G is nonplanar. We show that the line index of a graph is either innite or it is at most 4....
1 Elimination Game is a well known algorithm that simulates Gaussian elimination of matrices on graphs, and it computes a triangulation of the input graph. The number of fill edge...
Anne Berry, Elias Dahlhaus, Pinar Heggernes, Genev...