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    STUDIA CHEMIA - Issue no. 4 / 2012  
         
  Article:   ON TOPOLOGICAL POLYNOMIALS OF WEIGHTED GRAPHS.

Authors:  MODJTABA GHORBANI, MIRCEA V. DIUDEA.
 
       
         
  Abstract:  

Two edges e and f of a plane graph G are in relation opposite, e op f, if they are opposite edges of an inner face of G. Relation op enables the partition the edge set of G into opposite edge strips ops. On this ground, Diudea defined Omega and Theta polynomial while Ashrafi et al. defined the Sadhana polynomial. In this paper a weighted version of these polynomials was introduced and several relations between them are demonstrated. Some molecular weights are suggested in view of using the derived topological indices in correlational studies.

Key Words: Omega polynomial, Sadhana polynomial, Topological indices.

 
         
     
         
         
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