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 - Funding Information:
This research is supported by the Start-up Research Grant 2016 of United Arab Emirates University, Al Ain, United Arab Emirates via Grant No. G00002233 and UPAR Grant of United Arab Emirates University via Grant No. G00002590.
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 -