Results 51 to 60 of about 5,819 (125)

Topological Indices of Certain Transformed Chemical Structures

Journal of Chemistry, Volume 2020, Issue 1, 2020., 2020
Topological indices like generalized Randić index, augmented Zagreb index, geometric arithmetic index, harmonic index, product connectivity index, general sum‐connectivity index, and atom‐bond connectivity index are employed to calculate the bioactivity of chemicals.
Xuewu Zuo, Jia-Bao Liu, Hifza Iqbal, Kashif Ali, Syed Tahir Raza Rizvi, Daniele Dondi   +5 more
wiley   +1 more source

A Note on Some Bounds of the α‐Estrada Index of Graphs

Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020
Let G be a simple graph with n vertices. Let A~αG=αDG+1−αAG, where 0 ≤ α ≤ 1 and A(G) and D(G) denote the adjacency matrix and degree matrix of G, respectively. EEαG=∑i=1neλi is called the α‐Estrada index of G, where λ1, ⋯, λn denote the eigenvalues of A~αG. In this paper, the upper and lower bounds for EEα(G) are given.
Yang Yang, Lizhu Sun, Changjiang Bu, Laurent Raymond   +3 more
wiley   +1 more source

Construction for the Sequences of Q‐Borderenergetic Graphs

Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
This research intends to construct a signless Laplacian spectrum of the complement of any k‐regular graph G with order n. Through application of the join of two arbitrary graphs, a new class of Q‐borderenergetic graphs is determined with proof. As indicated in the research, with a regular Q‐borderenergetic graph, sequences of regular Q‐borderenergetic ...
Bo Deng, Caibing Chang, Haixing Zhao, Kinkar Chandra Das, Jia-Bao Liu   +4 more
wiley   +1 more source

Aα‐Spectral Characterizations of Some Joins

Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020
Let G be a graph with n vertices. For every real α ∈ [0,1], write Aα(G) for the matrix Aα(G) = αD(G) + (1 − α)A(G), where A(G) and D(G) denote the adjacency matrix and the degree matrix of G, respectively. The collection of eigenvalues of Aα(G) together with multiplicities are called the Aα‐spectrum of G.
Tingzeng Wu, Tian Zhou, Naihuan Jing
wiley   +1 more source

Spectra of the extended neighborhood corona and extended corona of two graphs

Electronic Journal of Graph Theory and Applications, 2016
In this paper we define extended corona and extended neighborhoodcorona of two graphs $G_{1}$ and $G_{2}$, which are denoted by$G_{1}\bullet G_{2}$ and $G_{1}\ast G_{2}$ respectively.
Chandrashekar Adiga, Rakshith B.R., Subba Krishna K.N.   +2 more
doaj   +1 more source

On the Spectra of Commuting and Non Commuting Graph on Dihedral Group

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2017
Study about spectra of graph has became interesting work as well as study about commuting and non commuting graph of a group or a ring. But the study about spectra of commuting and non commuting graph of dihedral group has not been done yet.
Abdussakir Abdussakir, Rivatul Ridho Elvierayani, Muflihatun Nafisah   +2 more
doaj   +1 more source

Spectrum of the Cozero-Divisor Graph Associated to Ring ${\mathbb{Z}}_n$

Axioms, 2023
Let R be a commutative ring with identity 1≠0 and let Z(R)′ be the set of all non-unit and non-zero elements of ring R. Γ′(R) denotes the cozero-divisor graph of R and is an undirected graph with vertex set Z(R)′, w∉zR, and z∉wR if and only if two ...
Mohd Rashid, Amal S. Alali, Wasim Ahmed, Muzibur Rahman Mozumder   +3 more
doaj   +1 more source

Construction of Albertson Cospectral and Albertson Equienergetic Graphs Using Graph Operations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The energy of a graph is an invariant calculated as the sum of the absolute eigenvalues of its adjacency matrix. This concept extends to various types of energies derived from different graph‐related matrices. This paper explores the spectral properties of Albertson energy and Albertson spectra.
Jane Shonon Cutinha, Sabitha D’Souza, Swati Nayak, G Muhiuddin   +3 more
wiley   +1 more source

LAPLACIAN SPECTRUM AND ENERGY OF NON-COMMUTING GRAPHS OF FINITE RINGS [PDF]

Journal of Algebraic Systems
We compute spectrum, energy, Laplacian spectrum/ energy and signless Laplacian spectrum/energy of non-commuting graphs of certain finite non-commutative rings. In particular, we consider finite rings $R$ such that $|R| = p^2, p^3, p^4$, $p^5$, $p^2q$ and
Monalisha Sharma, Rajat Nath
doaj   +1 more source

Investigating Signless Laplacian Spectra and Network Topology in Helical Phenylene‐Quadrilateral Structures

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study investigates the spectral and topological properties of rounded knot networks K2n, a helical extension of phenylene quadrilateral structures, through signless Laplacian spectral analysis. Motivated by the need to understand how helical topology influences network dynamics and robustness, we derive exact analytical expressions for three key ...
Fareeha Hanif, Ali Raza, Md. Shajib Ali, Pramita Mishra   +3 more
wiley   +1 more source