Exploring network operations for data and information networks

The Characteristics of Compound Models Designed for Internet of Things

“…Since the kernel I(t) is equal to the base M(t) in G (1) (t), we define: K i * is an operation degree for which a randomly selected generator L i (t) having been operated with other K i * generators in G (1) (t); P(K i *) is the operation distribution of G (1) (t), that is, the probability of a randomly selected generator L i (t) operated with other K i * generators;…”

“…By means of BA-model, we add a new generator to G (1) (t-1) and operate it with m generators of G (1) (t-1) by using m 2-operators, so we have a dynamic operation equation (Ref. [10], [11], [12], [13])of G (1) (t) as…”

“…(2) (t) (see Fig.8 and Fig.9). For computation of degree spectrums of two compound models G (1) (t) and G (2) (t) at time step t, let n v (s) (t) and n e (s) (t) be the numbers of vertices and edges of G (2) and moreover…”

“…Two fractal 2-operations are shown in Fig.6 and Fig.7 (Ref. [1], [2], [3], [9]). Three Sierpinski models S(0), S (1) and S (2) are shown in Fig.5, and furthermore S(1) and S (2) are constructed by the fractal 2-operation.…”

“…[1], [2], [3], [9]). Three Sierpinski models S(0), S (1) and S (2) are shown in Fig.5, and furthermore S(1) and S (2) are constructed by the fractal 2-operation. Especially, ``joining a vertex (or generator) with another vertex (or generator) by an edge'' is regarded as a 2-operator on them, especially, write this 2-operator by Oo, and the 2-operator set O contains it in any time.…”