Results 111 to 120 of about 18,314 (299)

Normalized Laplacian spectrum of some subdivision-joins and R-joins of two regular graphs

AKCE International Journal of Graphs and Combinatorics, 2018
In this paper we determine the full normalized Laplacian spectrum of the subdivision-vertex join, subdivision-edge join, R-vertex join, and R-edge join of two regular graphs in terms of the normalized Laplacian eigenvalues of the graphs.
Arpita Das, Pratima Panigrahi
doaj   +1 more source

On the spectral radius and energy of signless Laplacian matrix of digraphs. [PDF]

Heliyon, 2022
Ganie HA, Shang Y.
europepmc   +1 more source

Matrix tree theorem for the net Laplacian matrix of a signed graph [PDF]

, 2023
For a simple signed graph $G$ with the adjacency matrix $A$ and net degree matrix $D^{\pm}$, the net Laplacian matrix is $L^{\pm}=D^{\pm}-A$. We introduce a new oriented incidence matrix $N^{\pm}$ which can keep track of the sign as well as the ...
Mallik, Sudipta
core   +1 more source

Quantitative Detection of Entotic Cell‐In‐Cell Structures Using Deformable Segmentation and Deep Learning

Cytometry Part A, EarlyView.
ABSTRACT Cell‐in‐cell (CIC) structures are among the most intriguing cellular phenomena occasionally observed in human cancer specimens. Once regarded as incidental findings, accumulating evidence has linked specific CIC subtypes, particularly entosis, to tumor progression and patient prognosis.
Maria V. Leyba‐Mesa, Mikołaj Biegański, Elijah Ray, Izabela Młynarczuk‐Bialy, Buket D. Barkana   +4 more
wiley   +1 more source

Oversampled Graph Laplacian Matrix For Graph Signals

, 2014
Publication in the conference proceedings of EUSIPCO, Lisbon, Portugal ...
Akie Sakiyama, Yuichi Tanaka 0001
openaire   +3 more sources

Presurgical magnetoencephalography‐derived network control metrics distinguish successful hippocampal resection vs sparing in temporal lobe epilepsy

Epilepsia, EarlyView.
Abstract Objective Surgical decision‐making in temporal lobe epilepsy (TLE) faces a critical challenge in determining whether the hippocampus can be safely spared during anterior temporal resection, particularly when surgery involves the language‐dominant hemisphere.
Guhan Seshadri NP, Himanshu Kumar, Neha Sara John, Andreas V. Alexopoulos, Richard C. Burgess, Hiroatsu Murakami, Balu Krishnan   +6 more
wiley   +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

On distance signless Laplacian spectrum and energy of graphs

Electronic Journal of Graph Theory and Applications, 2018
The distance signless Laplacian spectral radius of a connected graph G is the largest eigenvalue of the distance signless Laplacian matrix of G‎, ‎defined as ‎D‎Q(G) = Tr(G) + D(G)‎, ‎where D(G) is the distance matrix of G and Tr(G) is the diagonal ...
Abdollah Alhevaz, Maryam Baghipur, Ebrahim Hashemi   +2 more
doaj   +1 more source

Robust joint clustering of multi-omics single-cell data via multi-modal high-order neighborhood Laplacian matrix optimization. [PDF]

Bioinformatics, 2023
Jiang H, Zhan S, Ching WK, Chen L.
europepmc   +1 more source

Permanent of the Laplacian matrix of trees and bipartite graphs

Discrete Mathematics, 1984
Let \(G=(V,E)\) be a graph without loops and multiple edges with vertex set \(V=\{v_ 1,...,v_ n\}\) and edge set E. Suppose the degree of vertex \(v_ i\) equals \(d_ i\) for \(i=1,...,n\) and let \(D=D(G)\) be the diagonal matrix whose (i,i)-entry is \(d_ i\).
Richard A. Brualdi, John L. Goldwasser
openaire   +1 more source