TY - JOUR

T1 - The eccentric version of atom-bond connectivity index of tetra sheet networks

AU - Imran, Muhammad

AU - Baig, Abdul Qudair

AU - Azhar, Muhammad Razwan

N1 - Publisher Copyright:
© 2018 World Scientific Publishing Company.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - Among topological descriptor of graphs, the connectivity indices are very important and they have a prominent role in theoretical chemistry. The atom-bond connectivity index of a connected graph G is represented as ABC(G) =uv E(G)dv +du -2 dvdu, where dv represents the degree of a vertex v of G and the eccentric connectivity index of the molecular graph G is represented as (G) =v Vdv(v), where (v) is the maximum distance between the vertex v and any other vertex u of the graph G. The new eccentric atom-bond connectivity index of any connected graph G is defined as ABC5(G) =uv E(G)(u)+(v)-2 (u)(v). In this paper, we compute the new eccentric atom-bond connectivity index for infinite families of tetra sheets equilateral triangular and rectangular networks.

AB - Among topological descriptor of graphs, the connectivity indices are very important and they have a prominent role in theoretical chemistry. The atom-bond connectivity index of a connected graph G is represented as ABC(G) =uv E(G)dv +du -2 dvdu, where dv represents the degree of a vertex v of G and the eccentric connectivity index of the molecular graph G is represented as (G) =v Vdv(v), where (v) is the maximum distance between the vertex v and any other vertex u of the graph G. The new eccentric atom-bond connectivity index of any connected graph G is defined as ABC5(G) =uv E(G)(u)+(v)-2 (u)(v). In this paper, we compute the new eccentric atom-bond connectivity index for infinite families of tetra sheets equilateral triangular and rectangular networks.

KW - Molecular graph

KW - atom-bond connectivity index

KW - eccentric connectivity index

KW - equilateral triangular tetra sheets

KW - rectangular tetra sheets

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U2 - 10.1142/S1793830918500659

DO - 10.1142/S1793830918500659

M3 - Article

AN - SCOPUS:85052998949

SN - 1793-8309

VL - 10

JO - Discrete Mathematics, Algorithms and Applications

JF - Discrete Mathematics, Algorithms and Applications

IS - 5

M1 - 1850065

ER -