Results 11 to 20 of about 121,348 (314)

Laplacian versus adjacency matrix in quantum walk search [PDF]

open access: yesQuantum Information Processing, 2016
A quantum particle evolving by Schr dinger's equation contains, from the kinetic energy of the particle, a term in its Hamiltonian proportional to Laplace's operator. In discrete space, this is replaced by the discrete or graph Laplacian, which gives rise to a continuous-time quantum walk.
Thomas G. Wong   +2 more
openaire   +4 more sources

The gamma-Signless Laplacian Adjacency Matrix of Mixed Graphs

open access: yesTheory and Applications of Graphs, 2023
The α-Hermitian adjacency matrix Hα of a mixed graph X has been recently introduced. It is a generalization of the adjacency matrix of unoriented graphs. In this paper, we consider a special case of the complex number α.
Omar Alomari   +2 more
doaj   +4 more sources

LAPLACIAN MATRIX AND DISTANCE IN TREES

open access: greenKragujevac journal of mathematics, 2004
Laplacian matrix and distance in trees.
Damir Vukičević, İvan Gutman
openalex   +3 more sources

Laplacian Matrix for Dimensionality Reduction and Clustering [PDF]

open access: green, 2020
Many problems in machine learning can be expressed by means of a graph with nodes representing training samples and edges representing the relationship between samples in terms of similarity, temporal proximity, or label information. Graphs can in turn be represented by matrices. A special example is the Laplacian matrix, which allows us to assign each
Laurenz Wiskott, Fabian Schönfeld
openalex   +4 more sources

Laplacian matrix of power 3 mean graphs [PDF]

open access: bronzeAIP Conference Proceedings, 2022
S. Sarasree, S. S. Sandhya
openalex   +2 more sources

On the Spectrum of Laplacian Matrix [PDF]

open access: yesMathematical Problems in Engineering, 2021
Let G be a simple graph of order n . The matrix ℒ
Akbar Jahanbani   +2 more
openaire   +2 more sources

The Laplacian matrix of weighted threshold graphs

open access: diamondThe Electronic Journal of Linear Algebra
Threshold graphs are generated from one node by repeatedly adding a node that links to all existing nodes or adding a node without links. In the weighted threshold graph, we add a new node in step $i$, which is linked to all existing nodes by a link of weight $w_i$.
Yingyue Ke   +2 more
openalex   +6 more sources

On Laplacian resolvent energy of graphs [PDF]

open access: yesTransactions on Combinatorics, 2023
Let $G$ be a simple connected graph of order $n$ and size $m$. The matrix $L(G)=D(G)-A(G)$ is the Laplacian matrix of $G$, where $D(G)$ and $A(G)$ are the degree diagonal matrix and the adjacency matrix, respectively. For the graph $G$, let $d_{1}\geq d_{
Sandeep Bhatnagar   +2 more
doaj   +1 more source

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