Sentence examples for maximum and minimum degrees from inspiring English sources

In our graph, maximum and minimum degrees are obtained as follows.

The maximum and minimum degrees of G are denoted by Δ and δ, respectively.

In this paper, the diameter, girth, maximum and minimum degrees, domination number, chromatic number, clique number, degree sequence, irregularity index and also perfectness of Γ ( S M ) have been established.

In fact, by the graph-theoretic properties, we will be interested in the diameter, maximum and minimum degrees, girth, chromatic number, clique number, domination number, degree sequence and irregularity index of the corresponding new graph.

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.

Theorem 3 For any monogenic semigroup S M as given in (1), the maximum and minimum degrees of Γ ( S M ) are Δ ( Γ ( S M ) ) = n − 1 and δ ( Γ ( S M ) ) = 1.

As usual, we denote by Δ and δ the maximum and minimum degree of G, respectively.

It can be seen that the convergence is faster by using the maximum and minimum degree division-based downsampling set than the randomly selected downsampling set.

In this paper, we mainly obtain some certain values for the diameter, girth, maximum and minimum degree, chromatic number, clique number, degree sequence, irregularity index and domination number of the graph Γ ( S M ).

The fundamental spectral properties such as the diameter, girth, maximum and minimum degree, chromatic number, clique number, degree sequence, irregularity index and dominating number for this new graph are presented in [1].

In detail, we investigate the diameter, radius, girth, maximum and minimum degree, chromatic number, clique number and domination number for the lexicographic product of any two (not necessarily different) graphs Γ ( S M 1 ) and Γ ( S M 2 ).