Results 21 to 30 of about 7,385 (154)

Wiener index of graphs over rings: a survey

AKCE International Journal of Graphs and Combinatorics, 2022
This article presents a survey of results consisting of the Wiener index of graphs associated with commutative rings. In particular, we focus on zero-divisor graphs, unit graphs, total graphs and prime graphs.
T. Asir, V. Rabikka, A. M. Anto, N. Shunmugapriya   +3 more
doaj   +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, Hyungrok Kim, Branislav Jurčo, Tommaso Macrelli, Christian Saemann, Martin Wolf   +5 more
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

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, Naveed Yaqoob, Asif Bashir, Roslan Hasni   +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, Abdul Rauf Nizami, Zaffar Iqbal, Muhammad Mobeen Munir, Hafiz Muhammad Waqar Ahmed, Jia-Bao Liu, M. Irfan Uddin   +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

On the Nonorientable Genus of the Generalized Unit and Unitary Cayley Graphs of a Commutative Ring [PDF]

Algebra Colloquium, 2020
Let [Formula: see text] be a commutative ring and [Formula: see text] the multiplicative group of unit elements of [Formula: see text]. In 2012, Khashyarmanesh et al.
M. Khorsandi, S. R. Musawi
semanticscholar   +1 more source

Polynomials of unitary Cayley graphs

Filomat, 2015
The unitary Cayley graph Xn has the vertex set Zn = {0,1,2,..., n-1} and vertices a and b are adjacent, if and only if gcd(a-b,n) = 1. In this paper, we present some properties of the clique, independence and distance polynomials of the unitary Cayley graphs and generalize some of the results from [W. Klotz, T.
Milan Basic, Aleksandar Ilic
openaire   +2 more sources

Unitary Cayley Meet Signed Graphs

Electronic Notes in Discrete Mathematics, 2017
Abstract A signed graph S is a graph in which every edge receive either ‘+’ or ‘-’ called the signs of the edges. The unitary Cayley graph Xn is a graph with vertex set Zn, the integers modulo n, where n is a positive integer greater than 1. Two vertices x1 and x2 are adjacent in the unitary Cayley graph if and only if their difference is in Un ...
Deepa Sinha, Ayushi Dhama
openaire   +1 more source

Generalized boundary triples, I. Some classes of isometric and unitary boundary pairs and realization problems for subclasses of Nevanlinna functions

Mathematische Nachrichten, Volume 293, Issue 7, Page 1278-1327, July 2020., 2020
Abstract With a closed symmetric operator A in a Hilbert space H a triple Π={H,Γ0,Γ1} of a Hilbert space H and two abstract trace operators Γ0 and Γ1 from A∗ to H is called a generalized boundary triple for A∗ if an abstract analogue of the second Green's formula holds.
Volodymyr Derkach, Seppo Hassi, Mark Malamud   +2 more
wiley   +1 more source