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AL-Rafidain Journal of Computer Sciences and Mathematics

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The n-Hosoya Polynomials of the Square of a Path and of a Cycle

    Ahmed M. Ali

AL-Rafidain Journal of Computer Sciences and Mathematics, 2021, Volume 15, Issue 1, Pages 13-24
10.33899/csmj.2021.168250

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Abstract

The n-Hosoya polynomial of a connected graph G of order t is defined by:
Hn (G;x) = ∑ Cn (G;x) xk, where, Cn(G,k) is the number of pairs (v,S), in which |S| = n -1, 3 ≤ n ≤ t, v ∈ V(G) ,  S ⊆ V (G) , such that dn(v,S) = k , for each 0 ≤ k ≤ δn. In this paper, we find the n-Hosoya polynomial of the square of a path and of the square of a cycle. Also, the n-diameter and n-Wiener index of each of the two graphsare determined
 
Keywords:
    n-diameter n-Hosoya polynomial n-Wiener index path square and cycle square
Main Subjects:
  • Graph Theory
  • Mathematics
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(2021). The n-Hosoya Polynomials of the Square of a Path and of a Cycle. AL-Rafidain Journal of Computer Sciences and Mathematics, 15(1), 13-24. doi: 10.33899/csmj.2021.168250
Ahmed M. Ali. "The n-Hosoya Polynomials of the Square of a Path and of a Cycle". AL-Rafidain Journal of Computer Sciences and Mathematics, 15, 1, 2021, 13-24. doi: 10.33899/csmj.2021.168250
(2021). 'The n-Hosoya Polynomials of the Square of a Path and of a Cycle', AL-Rafidain Journal of Computer Sciences and Mathematics, 15(1), pp. 13-24. doi: 10.33899/csmj.2021.168250
The n-Hosoya Polynomials of the Square of a Path and of a Cycle. AL-Rafidain Journal of Computer Sciences and Mathematics, 2021; 15(1): 13-24. doi: 10.33899/csmj.2021.168250
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