… strength s t r ( G ) of a graph G is s t r ( G ) = min { s t r f ( G ) | f … , and the strengths of new
families of graphs are determined. … determine the strength of 2-regular graphs and give a partial …

… graphs with no loops and multiple edges and use [1,2] for the notions and notations not
defined here. Let G be a graph, … In the last section we define the edge-strength s and study the …

… ∈ E G , and the strength str G of a graph G is str G = … minimum degree conditions for the
strength of graphs. From the study conducted in this paper, certain degree sequences of graphs …

… Let G be a graph and let k′(G) be the edge‐connectivity of G. The … /k + 2)⌋ ≤ |E(G|, and
characterize the extremal graphs. We shall also give a characterization of all k‐maximal graphs. …

… The optimization problem studied in this paper is, for any graph G of size q, how labels 1, 2,...…
possible for a graph G, then we say that the minimum such number is the edge-strength of G…

… may be interpreted as an important notion dual to the notion of connectivity in a graph,
we now introduce the concept of a slicing of a graph as a dual to the notion of cohesiveness. …

… of computing the strength of an undirected graph. This … to compute the strength of an undirected
graph, achieving a factor of … to accelerating the computation of graph strength, this paper …

… graph whose partite sets consist of at least two vertices. The edge-strength of a graph G is the
strength of the line graph of … known results about the edge-strength and strength of graphs. …

… In this section, we establish strength analogues to the bandwidth result given in Theorem
2.1. At this point, it is convenient to introduce some additional concepts and notation. A …

… from these points) the result ing graph is not connected. If G is a complete graph of order n,
we put cv(G) … chosen edges from G the resulting graph is not connected. We may measure the …