In this paper, we develop a method to count the number of spanning trees in certain classes of double fixed-step loop networks with nonconstant steps. More specifically our techni...
The reinforcement number of a graph is the smallest number of edges that have to be added to a graph to reduce the domination number. We introduce the k-reinforcement number of a ...
Jean R. S. Blair, Wayne Goddard, Stephen T. Hedetn...
In this paper we consider the model of communication where wireless devices can either switch their radios off to save energy (and hence, can neither send nor receive messages), o...
Let G be a graph. A vertex labeling of G is distinguishing if the only label-preserving automorphism of G is the identity map. The distinguishing number of G, D(G), is the minimum...