Xing, Rundan; Zhou, Bo; Trinajstić, Nenad
(2011)
On Zagreb Eccentricity Indices.
Croatica Chemica Acta, 84
(4).
pp. 493497.
ISSN 00111643
Abstract
Zagreb eccentricity indices were proposed analogously to Zagreb indices already known and used for almost forty years. For a connected graph, the first Zagreb eccentricity index is defined as the sum of the squares of the eccentricities of the vertices, and the second Zagreb eccentricity index is defined as the sum of the products of the eccentricities of pairs of adjacent vertices. We report mathematical properties, especially lower and upper bounds of trees and general graphs in terms of graph invariants and the corresponding extremal graphs, NordhausGaddumtype results, and the ordering of trees with small and large Zagreb eccentricity indices.
Item Type: 
Article

Uncontrolled Keywords: 
Zagreb indices; Zagreb eccentricity indices; lower and upper bounds; graph invariants; trees; general graphs; connectivity index; topological descriptor; molecularorbitals; graphtheory 
Subjects: 
NATURAL SCIENCES > Chemistry 
Divisions: 
Division of Physical Chemistry 
Projects: 
Project title  Project leader  Project code  Project type 

Razvoj metoda za modeliranje svojstava bioaktivnih molekula i proteina  [184293] Bono Lučić  09817704952919  MZOS 

Depositing User: 
Nenad Trinajstić

Date Deposited: 
07 Oct 2013 13:00 
Last Modified: 
06 Feb 2014 12:42 
URI: 
http://fulir.irb.hr/id/eprint/735 
DOI: 
10.5562/cca1801 
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735
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