Relationship Between Augmented Eccentric connectivity index and Some Other Graph Invariants

  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract

    The augmented eccentric connectivity index of a graph which is a generalization of eccentric connectivity index is defined as the summation of the quotients of the product of adjacent vertex degrees and eccentricity of the concerned vertex of a graph. In this paper we established some relationships between augmented eccentric connectivity index and several other graph invariants like number of vertices, number of edges, maximum vertex degree, minimum vertex degree, the total eccentricity index the first Zagreb indices and the second multiplicative Zagreb index.




Article ID: 701
DOI: 10.14419/ijams.v1i2.701

Copyright © 2012-2015 Science Publishing Corporation Inc. All rights reserved.