Results 11 to 20 of about 122 (118)
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 +4 more
wiley +1 more source
Hyperbolic generalized triangle groups, property (T) and finite simple quotients
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3577-3637, December 2022., 2022 Abstract We construct several series of explicit presentations of infinite hyperbolic groups enjoying Kazhdan's property (T). Some of them are significantly shorter than the previously known shortest examples. Moreover, we show that some of those hyperbolic Kazhdan groups possess finite simple quotient groups of arbitrarily large rank; they constitute ...
Pierre‐Emmanuel Caprace +3 more
wiley +1 more source
Search Algorithm Based on Permutation Group by Quantum Walk on Hypergraphes
Chinese Journal of Electronics, Volume 31, Issue 4, Page 626-634, July 2022., 2022 Because a significant number of algorithms in computational science include search challenges and a large number of algorithms that can be transformed into search problems have garnered significant attention, especially the time rate and accuracy of search, a quantum walk search algorithm on hypergraphs, whose aim is to reduce time consumption and ...
Yaoyao JIANG +3 more
wiley +1 more source
[Retracted] Roughness in Hypervector Spaces
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah +3 more
wiley +1 more source
Double Copy from Homotopy Algebras
Fortschritte der Physik, Volume 69, Issue 8-9, September 2021., 2021 It will be shown that the BRST Lagrangian double copy construction of N = 0 supergravity as the ‘square’ of Yang–Mills theory finds a natural interpretation in terms of homotopy algebras. The authors significantly expand on their previous work arguing the validity of the double copy at the loop level, and they give a detailed derivation of the double ...
Leron Borsten +5 more
wiley +1 more source
ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS [PDF]
Journal of Algebraic Systems, 2019 Let $R$ be a ring (not necessarily commutative) with nonzero identity. We define $Gamma(R)$ to be the graph with vertex set $R$ in which two distinct vertices $x$ and $y$ are adjacent if and only if there exist unit elements $u,v$ of $R$ such that $x+uyv$
M. Rezagholibeigi, A. R. Naghipour
doaj +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 +5 more
wiley +1 more source
Cayley Graphs over LA‐Groups and LA‐Polygroups
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA‐polygroups (GCLAP − graphs). In this regard, we construct two new extensions for building LA‐polygroups. Then, we define Cayley graph over LA‐group and GCLAP‐graph.
Nabilah Abughazalah +3 more
wiley +1 more source
Wiener and Hyper‐Wiener Indices of Polygonal Cylinder and Torus
Complexity, Volume 2021, Issue 1, 2021., 2021 In this study, we first introduce polygonal cylinder and torus using Cartesian products and topologically identifications and then find their Wiener and hyper‐Wiener indices using a quick, interesting technique of counting. Our suggested mathematical structures could be of potential interests in representation of computer networks and enhancing lattice
Zhi-Ba Peng +6 more
wiley +1 more source
Integral equienergetic non-isospectral unitary Cayley graphs [PDF]
Linear Algebra and its Applications, 2021 Small typos corrected from v2 (warning: v2 is different from v1, see the comments in v2)
Ricardo A. Podestá, Denis E. Videla
openaire +3 more sources