Results 11 to 20 of about 86 (59)
The spread of generalized reciprocal distance matrix
The generalized reciprocal distance matrix $RD_{\alpha}(G)$ was defined as $RD_{\alpha}(G)=\alpha RT(G)+(1-\alpha)RD(G),\quad 0\leq \alpha \leq 1.$ Let $\lambda_{1}(RD_{\alpha}(G))\geq \lambda_{2}(RD_{\alpha}(G))\geq \cdots \geq \lambda_{n}(RD_{\alpha}(G)
Huang, Yufei, Liu, Hechao
core
A spectral method for bipartizing a network and detecting a large anti-community [PDF]
Relations between discrete quantities such as people, genes, or streets can be described by networks, which consist of nodes that are connected by edges.
Concas, A. +3 more
core +2 more sources
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 +3 more
wiley +1 more source
Computing the reciprocal distance signless Laplacian eigenvalues and energy of graphs [PDF]
In this paper, we study the eigenvalues of the reciprocal distance signless Laplacian matrix of a connected graph and obtain some bounds for the maximum eigenvalue of this matrix.
Alhevaz, Abdollah +2 more
core +1 more source
Laplacian spectra and structural insights: applications in chemistry and network science [PDF]
This 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
core +1 more source
Collected Papers (on Physics, Artificial Intelligence, Health Issues, Decision Making, Economics, Statistics), Volume XI [PDF]
This eleventh volume of Collected Papers includes 90 papers comprising 988 pages on Physics, Artificial Intelligence, Health Issues, Decision Making, Economics, Statistics, written between 2001-2022 by the author alone or in collaboration with the ...
Smarandache, Florentin
core
Energies of Graphs - Survey, Census, Bibliography [PDF]
Publishe
Furtula, Boris, Gutman, Ivan
core
Numerical Linear Algebra applications in Archaeology: the seriation and the photometric stereo problems [PDF]
The aim of this thesis is to explore the application of Numerical Linear Algebra to Archaeology. An ordering problem called the seriation problem, used for dating findings and/or artifacts deposits, is analysed in terms of graph theory.
core
Graph energies and their applications [PDF]
The energy E(G) of a graph G is the sum of absolute values of the eigenvalues of the adjacency matrix of G. This spectral quantity was introduced in 1978 by Ivan Gutman, but its extensive research started only twenty five years later.
Furtula, B., Gutman, I.
core +1 more source
A Spectral Approach to Network Design and Experimental Design [PDF]
Over the last decade, the spectral sparsification technique has become a powerful tool in designing fast graph algorithms for various problems with numerous applications.
Zhou, Hong
core

