Results 11 to 20 of about 1,056 (96)

An Algebraic Approach of Topological Indices Connected with Finite Quasigroups

Journal of Function Spaces
In mathematical chemistry, the algebraic polynomial serves as essential for calculating the most accurate expressions of distance-based, degree-distance-based, and degree-based topological indices.
Muhammad Nadeem, Md. Ashraful Alam, Nwazish Ali, M. I. Elashiry   +3 more
doaj   +2 more sources

Linking Bipartiteness and Inversion in Algebra via Graph-Theoretic Methods and Simulink

Complexity
Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, M. I. Elashiry, Samuel Asefa Fufa   +5 more
doaj   +2 more sources

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

Some Algebraic Properties of the Wilson Loop

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this article, some algebraic properties of the Wilson loop have been investigated in a broad manner. These properties include identities, autotopisms, and implications. We use some equivalent conditions to study the behavior of holomorphism of this loop. Under the shadow of this holomorphism, we are able to observe coincident loops.
Han Li, M. Nadeem, M. A. Ali, H. Mutee ur Rehman, Yuan Yi   +4 more
wiley   +1 more source

[Retracted] Double Weak Hopf Quiver and Its Path Coalgebra

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The main input of this research is the introduction of the concept of double weak Hopf quiver (DWHQ). In addition, the structures of weak Hopf algebra (WHA) are obtained through path coalgebra of the proposed quivers. Furthermore, the module and comodule structures on the said WHA are discussed.
Muhammad Naseer Khan, Munir Ahmed, Muhammad Arshad, Waleed Almutiry, Rashad A. R. Bantan, Mohammed Elgarhy, Muhammad Gulzar   +6 more
wiley   +1 more source

On Characterization of Graphs Structures Connected with Some Algebraic Properties

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, we have characterized graph structures connected with some algebraic properties. Also, this paper is actually the concatenation of graph theory and algebra. We have introduced left and right inverse graphs of antiautomorphic inverse property loops.
Rongbing Huang, Muhammad Nadeem, Iqra Rashid, M.K. Siddiqui, Samuel Asefa Fufa, Shaojian Qu   +5 more
wiley   +1 more source

The Puzzle of Global Double Field Theory: Open Problems and the Case for a Higher Kaluza‐Klein Perspective

Fortschritte der Physik, Volume 69, Issue 7, July 2021., 2021
Abstract The history of the geometry of Double Field Theory is the history of string theorists' effort to tame higher geometric structures. In this spirit, the first part of this paper will contain a brief overview on the literature of geometry of DFT, focusing on the attempts of a global description. In [1] we proposed that the global doubled space is
Luigi Alfonsi
wiley   +1 more source

Weak Hopf Algebra and Its Quiver Representation

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
This study induced a weak Hopf algebra from the path coalgebra of a weak Hopf quiver. Moreover, it gave a quiver representation of the said algebra which gives rise to the various structures of the so‐called weak Hopf algebra through the quiver. Furthermore, it also showed the canonical representation for each weak Hopf quiver.
Muhammad Naseer Khan, Ahmed Munir, Muhammad Arshad, Ahmed Alsanad, Suheer Al-Hadhrami, Dragan Pamučar   +5 more
wiley   +1 more source

Study of Jordan quasigroups and their construction

Journal of Taibah University for Science, 2018
Jordan quasigroups are commutative quasigroups satisfying the identity $x^{2}(yx)=(x^{2}y)x$. In this paper we discuss the basic properties of Jordan quasigroups and prove that (i) every commutative idempotent quasigroup is Jordan quasigroup, (ii) if a ...
Amir Khan, Muhammad Shah, Hidayat Ullah Khan, Gul Zaman   +3 more
doaj   +1 more source

An introduction to loopoids [PDF]

, 2015
We discuss a concept of loopoid as a non-associative generalization of (Brandt) groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids.
Grabowski, Janusz
core   +2 more sources