IEEE AccessExploring the applications of Laplacian and signless Laplacian spectra extends beyond theoretical chemistry, computer science, electrical networks, and complex networks.
Ali Raza +3 more
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Laplacian spectra and structural insights: applications in chemistry and network science
Frontiers in Applied Mathematics and StatisticsThis paper presents the practical applications of Laplacian and signless Laplacian spectra across various fields including theoretical chemistry, computer science, electrical engineering, and complex network analysis.
Ali Raza, Muhammad Mobeen Munir
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Some Turán-type results for the signless Laplacian spectral radius
European Journal of CombinatoricsHalf a century ago, Bollobás and Erdős [Bull. London Math. Soc. 5 (1973)] proved that every $n$-vertex graph $G$ with $e(G)\ge (1- \frac{1}{k} + \varepsilon )\frac{n^2}{2}$ edges contains a blowup $K_{k+1}[t]$ with $t=Ω_{k,\varepsilon}(\log n)$. A well-known theorem of Nikiforov [Combin. Probab. Comput.
Jian Zheng, Yongtao Li, Yi-Zheng Fan
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Spectral and Sharp Sufficient Conditions for Graphs to Admit a Strong Star Factor
MathematicsLetGbe a graph. An odd [1,k]-factor of a graph G is a spanning subgraph H of G such that degH(v) is odd and 1⩽degH(v)⩽k for every v∈V(G) where k is a positive odd integer. We call a spanning subgraph H of a graph G a strong star factor if every component
Fengyun Ren, Shumin Zhang, He Li
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Transmission-Based Energies of Prime Coprime Graph for Integers Modulo Group
Science and Technology IndonesiaGraphs are an excellent instrument that provides an algebraic structure for visualizing and interpreting molecule structures and characteristics. As a result, the problem statement arises regarding how we can interpret graphs with eigenvalues concerning
Mamika Ujianita Romdhini +3 more
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On the distance signless Laplacian spectral radius of graphs and digraphs
The Electronic Journal of Linear Algebra, 2017 Let \eta(G) denote the distance signless Laplacian spectral radius of a connected graph G. In this paper,bounds for the distance signless Laplacian spectral radius of connected graphs are given, and the extremal graph with the minimal distance signless Laplacian spectral radius among the graphs with given vertex connectivity and minimum degree is ...
Dan Li, Guoping Wang, Jixiang Meng
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The (signless Laplacian) spectral radius (of subgraphs) of uniform hypergraphs
Filomat, 2019 Let ?1(G) and q1(G) be the spectral radius and the signless Laplacian spectral radius of a kuniform hypergraph G, respectively. In this paper, we give the lower bounds of d-?1(H) and 2d-q1(H), where H is a proper subgraph of a f (-edge)-connected d-regular (linear) k-uniform hypergraph.
Duan, Cunxiang +3 more
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Quantitative structure-properties relationship analysis of Eigen-value-based indices using COVID-19 drugs structure. [PDF]
Int J Quantum Chem, 2023 Rauf A, Naeem M, Hanif A.
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Spectral Properties of the Harary Signless Laplacian and Harary Incidence Energy
MathematicsLet X be a partitioned matrix and let B its equitable quotient matrix. Consider a simple, undirected, connected graph G of order n. In this paper, we employ a technique based on quotient matrices derived from block-partitioned structures to establish new
Luis Medina +2 more
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Albertson (Alb) spectral radii and Albertson (Alb) energies of graph operation. [PDF]
Front Chem, 2023 Munir MM, Wusqa UT.
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