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103.023  Articles
1 of 10.303 pages  |  10  records  |  more records»
In this paper, the vertex-degree function index Hf(G) is considered when function f(x) belongs to four classes of functions determined by the following properties: strictly convex versus strictly concave and strictly increasing versus ... see more

Let G = (V,E) be a simple connected graph with the vertex set V = {1,2,...,n} and sequence of vertex degrees (d1,d2,...,dn) where di denotes the degree of a vertex i ? V. With i ~ j, we denote the adjacency of the vertices i and j in the graph G. The... see more

Ignatyev A. M., Ermolenko T. A., Turchin N. I., Prutiyan T. L., Shanygin A. V. ?????? ????????? ?????????? ? ??????????? ?? ??????????? ??????? ?????-?????????? ??????? ???????????? ? ??????? ?????????? ????????? = Application exercise depending on the pe... see more

The F-index of a graph is defined as the sum of cubes of the vertex degrees of the graph which was introduced in 1972, in the same paper where the first and second Zagreb indices were introduced. In this paper we study the F-index of four operations on gr... see more

Among bipartite graphs with given order and matching number/vertex cover number/edge cover number/independence number, among multipartite graphs with given order, and among graphs with given order and chromatic number, we present the graphs having the max... see more

Introduction. An important reserve that provides adaptation processes in the immunoregulation system is the possibility of its various subsystems to redistribute structural and functional relationships between them. The approach from the perspective of sy... see more

This paper presents two ways of calculating the load angle of a non-salient pole synchronous generator. One of the goals of this paper is to determine which way of calculating the load angle gives more accurate results. The cotangent function used for cal... see more

The zeroth-order general Randic index of a graph G is defined as Ra(G)=?v ? V(G)dGa(v), where a ? R, V(G) is the vertex set of G and dG(v) is the degree of a vertex v in G. We obtain bounds ... see more

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