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The n-Hosoya Polynomial of 𝑊𝛼⊠ Cβ [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2012
For a wheel  and a cycle  the composite graphs ⊠  is constructed from the union of  and  and  adding the edges  and  , where  is an edge of  and is an edge of . The n – diameter , the  n – Hosoya polynomial and the n – Wiener index of  ⊠  are obtained in
Ahmed Ali, Haveen Ahmed
doaj   +8 more sources

The n-Hosoya Polynomials of the Composite of Some Special Graphs [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2013
It is not easy to find the n-Hosoya polynomial of the compound graphs constructed in the form G1⊠G2 for any two disjoint connected graphs  and .Therefore, in this paper, we obtain n-Hosoya polynomial of G1⊠G2 when  is a complete graph and  is a special ...
Ahmed Ali
doaj   +4 more sources

n-Hosoya polynomials for Pentagonal Chains [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2013
The diameter, with respect to the n-distance of the graph  which represents a straight chain consisting of m pentagonal rings, is  obtained in this paper. The n-Hosoya polynomial of , for all m and n, where , is also obtained.
Ali Ali, Hadeel Meshw
doaj   +4 more sources

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

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2021
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
Ahmed Ali
doaj   +1 more source

Hosoya Polynomial, Wiener Index, Coloring and Planar of Annihilator Graph of Zn [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2020
Let R be a commutative ring with identity. We consider ΓB(R) an annihilator graph of the commutative ring R. In this paper, we find Hosoya polynomial, Wiener index, Coloring, and Planar annihilator graph of Zn denote ΓB(Zn) , with n= pm or n=pmq, where p,
Mohammed Ahmed   +2 more
doaj   +1 more source

On Annihilating - Ideal Graph of Zn [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2018
In this paper, we study and give some properties of annihilating-ideal graphs of Zn, also we find Hosoya polynomial and Wiener index for this graph.
Husam Mohammad, Sahbaa Younus
doaj   +1 more source

Hosoya Polynomial and Wiener Index of Zero-Divisor Graph of Z_n [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2018
Let R be a commutative ring with identity. We associate a graph . In this paper, we find Hosoya polynomial and Wiener index of  Zn , with  n= pm or n= pmq, where p and q are distinct prime numbers and m is an integer with m 2.
Husam Mohammad, Mohammad Authman
doaj   +1 more source

Some Topological and Polynomial Indices (Hosoya and Schultz) for the Intersection Graph of the Subgroup of〖 Z〗_(r^n )

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2021
Let  be any group with identity element (e) . A subgroup intersection graph of  a subset  is the Graph with V ( ) =  - e and two separate peaks c and d contiguous for c and d if and only if      , Where  is a Periodic subset of resulting from  .
Alaa J. Nawaf, Akram S. Mohammad
doaj   +1 more source

Hosoya Polynomials of Steiner Distance of the Sequential Join of Graphs [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2009
The Hosoya polynomials of Steiner n-distance of the sequential join of graphs  and  are obtained and the Hosoya polynomials of Steiner 3-distance of the sequential join of m graphs  are also obtained.
Herish Abdullah
doaj   +1 more source

Hosoya Polynomials of Steiner Distance of Complete m-partite Graphs and Straight Hexagonal Chains(*) [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2008
The Hosoya polynomials of Steiner distance of complete m-partite graphs  and Straight hexagonal chains  are obtained in this paper. The Steiner n-diameter and Wiener index of Steiner n-distance of   and   are also obtained.
Ali Ali, Herish Abdullah
doaj   +1 more source

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