GA2 index of some graph operations | Zendy

Gholam Hossein Fath-Tabar | Zendy; Asma Hamzeh | Zendy; Samaneh Hossein–Zadeh | Zendy

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GA2 index of some graph operations

Author(s) -

Gholam Hossein Fath-Tabar,

Asma Hamzeh,

Samaneh Hossein–Zadeh

Publication year - 2010

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1001021f

Subject(s) - mathematics , graph , combinatorics , lying , index (typography) , mathematics subject classification , discrete mathematics , computer science , medicine , world wide web , radiology

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. 2010 Mathematics Subject Classifications. 05C12, 05A15, 05A20, 05C05. .

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