New and Modified Eccentric Indices of Octagonal Grid Omn

  1. M. Naeem
  2. M. K. Siddiqui
  3. J. L. G. Guirao
  4. W. Gao
Zeitschrift:
Applied Mathematics and Nonlinear Sciences

ISSN: 2444-8656

Datum der Publikation: 2018

Ausgabe: 3

Nummer: 1

Seiten: 209-228

Art: Artikel

DOI: 10.21042/AMNS.2018.1.00016 DIALNET GOOGLE SCHOLAR lock_openOpen Access editor

Andere Publikationen in: Applied Mathematics and Nonlinear Sciences

Zusammenfassung

The eccentricity εu of vertex u in a connected graph G, is the distance between u and a vertex farthermost from u. The aim of the present paper is to introduce new eccentricity based index and eccentricity based polynomial, namely modified augmented eccentric connectivity index and modified augmented eccentric connectivity polynomial respectively. As an application we compute these new indices for octagonal grid O m n and we compare the results obtained with the ones obtained by other indices like Ediz eccentric connectivity index, modified eccentric connectivity index and modified eccentric connectivity polynomial ECP(G, x)