Results 21 to 30 of about 268,469 (172)

Alternating Sums in the Hosoya Polynomial Triangle

J. Integer Seq., 2014
The Hosoya polynomial triangle is a triangular arrangement of polynomials where each entry is a product of two polynomials. The geometry of this triangle is a good tool to study the algebraic properties of polynomial products.
Mukherjee, Antara, Flórez, Rigoberto, Higuita Díaz, Robinson Alexander   +2 more
core   +3 more sources

Graph of Orthogonal Idempotent Elements in Rings of Integers Modulo n With Spectral Clustering

Journal of Mathematics
The zero-divisor graph provides a relationship between abstract algebra and graph theory. Based on this concept, a new graph is defined using the orthogonal idempotent elements in a ring.
Shaimaa H. Ahmad, Mohammed Th. Al-Neima, Zubaida M. Ibraheem, Ahmed M. Ali   +3 more
doaj   +2 more sources

Graphs Induced by W-Regular Rings With Application to Zpn

International Journal of Mathematics and Mathematical Sciences
A ring R is called W-regular if for any non-nilpotent element a of R, there exists an element b of R such that a=aba. This ring is generalized to a regular ring and is a special type of π-regular ring; therefore, some results on rings that are regular ...
Mostafa Amer Khattab, Raida D. Mahmood, Mohammed Th. Al-Neima   +2 more
doaj   +2 more sources

Results on Certain Biopolymers Using M-Polynomial and NM-Polynomial of Topological Indices. [PDF]

Comput Math Methods Med, 2023
Topological indices are numerical descriptors that aid in the prediction of chemical molecules’ physiochemical properties and biological actions. It is often helpful to forecast numerous physiochemical attributes and biological actions of molecules in chemometrics, bioinformatics, and biomedicine.
Mohammed Yasin H, Suresh M, Abebe GA, Fufa SA.   +3 more
europepmc   +2 more sources

متعددات حدود هوسویا-w لسلاسل حلقات خماسیة [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2012
Ali Aziz Ali, Shwan Salou Abdul Ilyas
doaj   +4 more sources

متعددة حدود هوسویا – n لبیان مرکب من بعض البیانات الخاصة [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2013
Ahmed M. Ali
doaj   +3 more sources

On the Palindromic Hosoya Polynomial of Trees

MATCH Communications in Mathematical and in Computer Chemistry, 2022
A graph $G$ on $n$ vertices of diameter $D$ is called $H$-palindromic if $α(G,k) = α(G,D-k)$ for all $k=0, 1, \dots, \left \lfloor{\frac{D}{2}}\right \rfloor$, where $α(G,k)$ is the number of unordered pairs of vertices at distance $k$. Quantities $α(G,k)$ form coefficients of the Hosoya polynomial.
Badulin, Dmitry, Grebennikov, Alexandr, Vorob'ev, Konstantin   +2 more
openaire   +3 more sources

متعددة حدود هوسویا – n للبیان ⊠ [PDF]

Al-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 M. Ali, Haveen G. Ahmed
doaj   +2 more sources

متعددة حدود هوسویا، دلیل وینر، التلوین والاستواء لبیان تالف الحلقة الإبدالیة Zn [PDF]

Al-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 S. Ahmed, Akram Mohammed, Nabeel E. Arif   +2 more
doaj   +2 more sources

متعددة حدود هوسویا ودلیل وینر لبیات قاسم الصفر لـحلقات Zn [PDF]

Al-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 ...
Husam Q. Mohammad, Mohammad N. Authman
doaj   +2 more sources