Let G = (V, E) be a graph. A set S V is a restrained dominating set if every vertex not in S is adjacent to a vertex in S and to a vertex in V - S. The restrained domination numb...
In this paper, we study the design of fault tolerant networks for arrays and meshes by adding redundant nodes and edges. For a target graph G (linear array or mesh in this paper),...
Thomassen [9] conjectured that for all natural numbers k > 0 and m, every graph of minimum degree k + 1 contains a cycle of length congruent to 2m modulo k. We prove that this ...
While efficient graph-based representations have been developed for modeling combinations of low-level network attacks, relatively little attention has been paid to effective tech...
Steven Noel, Michael Jacobs, Pramod Kalapa, Sushil...