منابع مشابه
The vertex PI index and Szeged index of bridge graphs
Recently the vertex Padmakar–Ivan (PI v) index of a graph G was introduced as the sum over all edges e = uv of G of the number of vertices which are not equidistant to the vertices u and v. In this paper the vertex PI index and Szeged index of bridge graphs are determined. Using these formulas, the vertex PI indices and Szeged indices of several graphs are computed.
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The F-index of a graph G is the sum of the cubes of the degrees of the vertices of G. In this paper, explicit expressions for the F-index of different transformation graphs of type Gxyz with x, y, z ∈ {−,+} are obtained. F-index for semitotal point graph and semitotal line graph are also obtained here. MSC (2010): Primary: 05C35; Secondary: 05C07, 05C40
متن کاملF-Index of Four Operations on Graphs
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 graphs which were introduced by Eliasi and Taeri [M. Eliasi, B. Taeri, Four new sums of graphs and their Wiener indices, Discrete Appl. Math.157...
متن کاملHyper Zagreb Index of Bridge and Chain Grpahs
Let G be a simple connected molecular graph with vertex set V(G) and edge set E(G). One important modification of classical Zagreb index, called hyper Zagreb index HM(G) is defined as the sum of squares of the degree sum of the adjacent vertices, that is, sum of the terms 2 [ ( ) ( )] G G d u d v over all the edges of G, where ( ) G d u denote the degree of the vetex u of G. In this paper, th...
متن کاملOn the F-index and F-coindex of the line graphs of the subdivision graphs
The aim of this work is to investigate the F-index and F-coindex of the line graphs of the cycle graphs, star graphs, tadpole graphs, wheel graphs and ladder graphs using the subdivision concepts. F-index of the line graph of subdivision graph of square grid graph, 2D-lattice, nanotube and nanotorus of TUC4C8[p, q] are also investigated here.
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ژورنال
عنوان ژورنال: Malaysian Journal of Fundamental and Applied Sciences
سال: 2017
ISSN: 2289-599X,2289-5981
DOI: 10.11113/mjfas.v12n3.471