The maximum connectivity of a graph - Harary - 1962F. Harary, The maximum connectivity of a graph, Proc. Nat. Acad. Sci. USA 48 (1962) 202-210.F. Harary. The maximum connectivity of a graph. In National Academy of Sciences of the United States of America, volume 48, pages 1142-...
The maximum modularity of a graph is a parameter widely used to describe the level of clustering or community structure in a network. Determining the maxim
For theMaximum Weight Closure of a Graph, we define it as, with starting out endowing vertexes inV′V′costs calledwuwu, the maximum value of∑u∈V′wu∑u∈V′wu. 2. Construction of Algorithm Add a sourcessand a sinkttto the original graph, endow the origin edges in...
In order to create a box-and-whisker graph, five values are needed: Minimum 25th percentile (first quartile) Median (50th percentile or second quartile) 75th percentile (third quartile) Maximum These values are sometimes collectiv...
A clique is a set of pairwise adjacent vertices in a graph. We determine the maximum number of cliques in a graph for the following graph classes: (1) grap
-graph is referred to be a graph with n vertices and m edges. Let Δ(G) and δ(G) be the maximum and minimum degree of a graph G and let μ(G) and q(G) be the Laplacian and signless Laplacian spectral radius of G, respectively. In this paper, we prove that for two connected...
The stability number α ( G ) of a graph G is the size of a maximum stable set of G , core (G)={S : S is a maximum stable set in G }, and ξ ( G )=| core ( G )|. In this paper we prove that for a graph G the following assertions are true: (i) if G has no ...
The turning points of a graphWE SAY THAT A FUNCTION f(x) has a relative maximum value at x = a, if f(a) is greater than any value immediately preceding or follwing.We call it a "relative" maximum because other values of the function may in fact be greater.We...
·Exampleofadding a maximum value in chart In the previous tutorial, we have learned how to insert a chart based on the transcript table and how to highlight its value. How can we add a larger value to the chart? 1. First, we should know that the data in charts follows the changes ...
Firstly, there should be at most one edge from a specific vertex to another vertex. This ensures all the vertices are connected and hence the graph contains the maximum number of edges. In short, a directed graph needs to be a complete graph in order to contain the maximum number of edges...