New and Modified Eccentric Indices of Octagonal Grid Omn

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

ISSN: 2444-8656

Any de publicació: 2018

Volum: 3

Número: 1

Pàgines: 209-228

Tipus: Article

DOI: 10.21042/AMNS.2018.1.00016 DIALNET GOOGLE SCHOLAR lock_openAccés obert editor

Altres publicacions en: Applied Mathematics and Nonlinear Sciences

Resum

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)