Proof By considering the graph of the group G 2, we say that the diameter of the graph Γ ( G 2 ) does not depend on the numbers k, m, n.
In this section, by considering the graph Γ ( S M ) defined as in the first section, we will mainly deal with the graph properties, namely diameter, girth, maximum and minimum degrees, domination number and finally irregularity index of it.
In this section, by considering the graph Γ ( P M ) drawn in Figure 1, we mainly deal with some graph properties, namely diameter, maximum and minimum degrees, girth, degree sequence, irregularity index, domination number, chromatic number and clique number of Γ ( P M ).
By considering the graph, G V, E); v(S) is referred to the node A; h(S) is referred to the nodes B and E. v(A) is referred to nodes B, E and S. The network using the proposed sensing area of Figure 4b is represented by the graph G*(V*, E*) shown in Figure 5b.
In this section, by considering the graph Γ ( G i ), 1 ≤ i ≤ 5, we mainly deal with some graph properties, namely diameter, maximum and minimum degrees, girth, chromatic number, clique number, domination number, degree sequence and irregularity index of Γ ( G i ).
Theorem 10 The girth of the graph Γ ( G 2 ) is equal to gr ( Γ ( G 2 ) ) = { 3 ; k, m, n = 2, 4 ; k, m, n > 2. Proof By the considering the graph of the group G 2, we have twelve triangles and five squares for k = m = n = 2 and k, m, n > 2, respectively.
For each measure, students create two graphs, showing the following information, as well as performing the associated analysis: Furthermore, students can explore relationships between quantity and rate-of-change by considering the two graphs for a given measure.
In contrast to controllability and observability of an ODE model, the respective system properties at the process level can be analyzed in a very simple way by considering the process interaction graph.
Furthermore, by considering the resistance distance of the graph G, the sum of resistance distance of all pairs of vertices as the equation Kf ( G ) = ∑ i < j r i j, (1).
Mapping of FFT functions to cores has been done by considering the proposed signal flow graph (SFG) for CG-FFT architecture, which helps in optimizing the design of network components (routers and network interfaces) and reducing the latency of FFT computation.
However, we can extend the definition of a k-core to directed graphs by considering the in and out degree of a given graph.
