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AL-Rafidain Journal of Computer Sciences and Mathematics

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w-Wiener Polynomials for Width Distance of Some Special Graphs

    Ali A. Ali Asma S. Aziz

AL-Rafidain Journal of Computer Sciences and Mathematics, 2007, Volume 4, Issue 2, Pages 103-124
10.33899/csmj.2007.164030

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Abstract

Let G be a k0-connected graph ,and let ,,be the w- width, distance between the two vertices  u,v  in G. The w-Wiener polynomial  of the width distance of G is defined by:
 
 
           
  
Ww(G;x) is obtained in this paper for  some special graphs G such as a cycle , a wheel, a theta graph , a straight hexagonal chain , and Wagner graph .The diameter with respect to the width distance – w, and the Wiener index for each such special graphs are also obtained in this paper.
 
Keywords:
    Wiener polynomial Width Distance diameter Wiener index
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(2007). w-Wiener Polynomials for Width Distance of Some Special Graphs. AL-Rafidain Journal of Computer Sciences and Mathematics, 4(2), 103-124. doi: 10.33899/csmj.2007.164030
Ali A. Ali; Asma S. Aziz. "w-Wiener Polynomials for Width Distance of Some Special Graphs". AL-Rafidain Journal of Computer Sciences and Mathematics, 4, 2, 2007, 103-124. doi: 10.33899/csmj.2007.164030
(2007). 'w-Wiener Polynomials for Width Distance of Some Special Graphs', AL-Rafidain Journal of Computer Sciences and Mathematics, 4(2), pp. 103-124. doi: 10.33899/csmj.2007.164030
w-Wiener Polynomials for Width Distance of Some Special Graphs. AL-Rafidain Journal of Computer Sciences and Mathematics, 2007; 4(2): 103-124. doi: 10.33899/csmj.2007.164030
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