Results 71 to 80 of about 858 (123)

Spectra of Graphs Resulting from Various Graph Operations and Products: a Survey

Special Matrices, 2018
Let G be a graph on n vertices and A(G), L(G), and |L|(G) be the adjacency matrix, Laplacian matrix and signless Laplacian matrix of G, respectively. The paper is essentially a survey of known results about the spectra of the adjacency, Laplacian and ...
Barik S., Kalita D., Pati S., Sahoo G.
doaj   +1 more source

Spektrum Signless-Laplace dan Spektrum Detour Graf Konjugasi dari Grup Dihedral

Kubik, 2018
Misalkan G graf berhingga yang tidak memuat loop dan sisi rangkap. Matriks keterhubungan titik A(G) dari graf G adalah matriks dengan entri aij = 1 jika vi terhubung langsung dengan vj dan aij = 0 untuk lainnya.
Abdussakir Abdussakir, Rhoul Khasanah
doaj   +1 more source

On the Signless Laplacian ABC-Spectral Properties of a Graph

Mathematics
In the paper, we introduce the signless Laplacian ABC-matrix Q̃(G)=D¯(G)+Ã(G), where D¯(G) is the diagonal matrix of ABC-degrees and Ã(G) is the ABC-matrix of G. The eigenvalues of the matrix Q̃(G) are the signless Laplacian ABC-eigenvalues of G.
Bilal A. Rather, Hilal A. Ganie, Yilun Shang   +2 more
doaj   +1 more source

Merging the Spectral Theories of Distance Estrada and Distance Signless Laplacian Estrada Indices of Graphs

Mathematics, 2019
Suppose that G is a simple undirected connected graph. Denote by D ( G ) the distance matrix of G and by T r ( G ) the diagonal matrix of the vertex transmissions in G, and let α ∈ [ 0 , 1 ] .
Abdollah Alhevaz, Maryam Baghipur, Yilun Shang   +2 more
doaj   +1 more source

Signless and normalized Laplacian spectrums of the power graph and its supergraphs of certain finite groups [PDF]

Journal of the Indonesian Mathematical Society, 2018
‎The aim of this article is to compute the signless and normalized Laplacian spectrums of the power graph‎, ‎its main supergraph and cyclic graph of dihedral and dicyclic groups‎.
openaire   +2 more sources

Spectra of Subdivision Vertex-Edge Join of Three Graphs

Mathematics, 2019
In this paper, we introduce a new graph operation called subdivision vertex-edge join (denoted by G 1 S ▹ ( G 2 V ∪ G 3 E ) for short), and then the adjacency spectrum, the Laplacian spectrum and the signless Laplacian spectrum of
Fei Wen, You Zhang, Muchun Li
doaj   +1 more source

Signless Laplacian characterization of cones over disjoint unions of cycles, edges and isolated vertices

Special Matrices
Two graphs are said to be Q-cospectral if they share the same signless Laplacian spectrum. A simple graph is said to be determined by its signless Laplacian spectrum (abbreviated as DQS) if there exists no other non-isomorphic simple graph with the same ...
Ye Jiachang, Qian Jianguo, Stanić Zoran
doaj   +1 more source

Laplacian spectra and structural insights: applications in chemistry and network science

Frontiers in Applied Mathematics and Statistics
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
doaj   +1 more source

Some sufficient conditions on hamilton graphs with toughness. [PDF]

Front Comput Neurosci, 2022
Cai G, Yu T, Xu H, Yu G.
europepmc   +1 more source

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.
europepmc   +1 more source