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    STUDIA CHEMIA - Issue no. 4 / 2010  
         
  Article:   OMEGA POLYNOMIAL IN CRYSTAL-LIKE NETWORKS.

Authors:  MAHBOUBEH SAHELI, MODJTABA GHORBANI, MONICA L. POP, MIRCEA V. DIUDEA.
 
       
         
  Abstract:  

Omega polynomial Ω(G,x), defined by Diudea in Carpath. J. Math., 2006, 22, 43-47, counts topologically parallel edges eventually forming a strip of adjacent faces/rings, in a graph G=G(V,E). The first and second derivatives, in x=1, of Omega polynomial enables the evaluation of the Cluj-Ilmenau CI index. Analytical close formulas for the calculation of this polynomial in two hypothetical crystal-like lattices are derived.

Keywords: Omega polynomial, crystal networks

 
         
     
         
         
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