Results 11 to 20 of about 1,628 (120)

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

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

The n-Hosoya Polynomials of Some Classes of Thorn Graphs [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2010
The n-Hosoya Polynomials of cog-complete graphs , thorn cog-complete graphs , cog-stars , thorn cog-stars , cog-wheels , and thorn cog-wheels are obtained . The n-Wiener indices of these graphs are also determined .
Ali Ali, Ahmed Ali
doaj   +1 more source

A New Graphical Representation of the Old Algebraic Structure

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The most recent advancements in algebra and graph theory enable us to ask a straightforward question: what practical use does this graph connected with a mathematical system have in the real world? With the use of algebraic approaches, we may now tackle a wide range of graph theory‐related problems.
Muhammad Nadeem, Imran Siddique, Md. Ashraful Alam, Waqas Ali, Xuanlong Ma   +4 more
wiley   +1 more source

Chromatic Schultz and Gutman Polynomials of Jahangir Graphs J2,m and J3,m

Journal of Applied Mathematics, Volume 2023, Issue 1, 2023., 2023
Topological polynomial and indices based on the distance between the vertices of a connected graph are widely used in the chemistry to establish relation between the structure and the properties of molecules. In a similar way, chromatic versions of certain topological indices and the related polynomial have also been discussed in the recent literature.
Ramy Shaheen, Suhail Mahfud, Qays Alhawat, Sheng Zhang   +3 more
wiley   +1 more source

Topological Indices of Total Graph and Zero Divisor Graph of Commutative Ring: A Polynomial Approach

Complexity, Volume 2023, Issue 1, 2023., 2023
The algebraic polynomial plays a significant role in mathematical chemistry to compute the exact expressions of distance‐based, degree‐distance‐based, and degree‐based topological indices. The topological index is utilized as a significant tool in the study of the quantitative structure activity relationship (QSAR) and quantitative structures property ...
Sourav Mondal, Muhammad Imran, Nilanjan De, Anita Pal, Hiroki Sayama   +4 more
wiley   +1 more source

Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs P(n, 1) and P(n, 2)

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The graph theory has wide important applications in various other types of sciences. In chemical graph theory, we have many topological polynomials for a graph G through which we can compute many topological indices. Topological indices are numerical values and descriptors which are used to quantify the physiochemical properties and bioactivities of ...
Ramy Shaheen, Suhail Mahfud, Qays Alhawat, Elena Guardo   +3 more
wiley   +1 more source

Computing the Entropy Measures for the Line Graphs of Some Chemical Networks

Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 2022
Chemical Graph entropy plays a significant role to measure the complexity of chemical structures. It has explicit chemical uses in chemistry, biology, and information sciences. A molecular structure of a compound consists of many atoms. Especially, the hydrocarbons is a chemical compound that consists of carbon and hydrogen atoms.
Muhammad Farhan Hanif, Hasan Mahmood, Shazia Manzoor, Fikre Bogale Petros, Gohar Ali   +4 more
wiley   +1 more source

The Wiener polarity index of benzenoid systems and nanotubes [PDF]

, 2017
In this paper, we consider a molecular descriptor called the Wiener polarity index, which is defined as the number of unordered pairs of vertices at distance three in a graph.
Tratnik, Niko
core   +3 more sources

QUANTUM ASPECTS OF 2+1 GRAVITY [PDF]

, 1995
We review and systematize recent attempts to canonically quantize general relativity in 2+1 dimensions, defined on space-times $\R\times\Sigma^g$, where $\Sigma^g$ is a compact Riemann surface of genus $g$.
Okai T., R. Loll
core   +3 more sources