منابع مشابه
Computing GA4 Index of Some Graph Operations
The geometric-arithmetic index is another topological index was defined as 2 deg ( )deg ( ) ( ) deg ( ) deg ( ) G G uv E G G u v GA G u v , in which degree of vertex u denoted by degG (u). We now define a new version of GA index as 4 ( ) 2 ε ( )ε ( ) ( ) ε ( ) ε ( ) G G e uv E G G G u v GA G u v , where εG(u) is the eccentricity of vertex u. In this paper we compute this new t...
متن کاملIndex of Some Graph Operations
Let G = (V, E) be a graph. For e = uv ∈ E(G), nu(e) is the number of vertices of G lying closer to u than to v and nv(e) is the number of vertices of G lying closer to v than u. The GA2 index of G is defined as ∑ uv∈E(G) 2 √ nu(e)nv(e) nu(e)+nv(e) . We explore here some mathematical properties and present explicit formulas for this new index under several graph operations.
متن کاملThe Generalized Wiener Polarity Index of some Graph Operations
Let G be a simple connected graph. The generalized polarity Wiener index of G is defined as the number of unordered pairs of vertices of G whose distance is k. Some formulas are obtained for computing the generalized polarity Wiener index of the Cartesian product and the tensor product of graphs in this article.
متن کاملcomputing ga4 index of some graph operations
the geometric-arithmetic index is another topological index was defined as2 deg ( )deg ( )( )deg ( ) deg ( )g guv eg gu vga gu v , in which degree of vertex u denoted by degg (u). wenow define a new version of ga index as 4( )2 ε ( )ε ( )( )ε ( ) ε ( )g ge uv e g g gu vga g u v , where εg(u) isthe eccentricity of vertex u. in this paper we compute this new topological index for twogr...
متن کاملThe Hyper-Zagreb Index of Graph Operations
Let G be a simple connected graph. The first and second Zagreb indices have been introduced as vV(G) (v)2 M1(G) degG and M2(G) uvE(G)degG(u)degG(v) , respectively, where degG v(degG u) is the degree of vertex v (u) . In this paper, we define a new distance-based named HyperZagreb as e uv E(G) . (v))2 HM(G) (degG(u) degG In this paper, the HyperZagreb index of the Cartesian p...
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ژورنال
عنوان ژورنال: Filomat
سال: 2010
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1001021f