**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**129

# Search results for: laplacian vertex PI eigenvalues

##### 129 Bounds on the Laplacian Vertex PI Energy

**Authors:**
Ezgi Kaya,
A. Dilek Maden

**Abstract:**

**Keywords:**
energy,
Laplacian energy,
laplacian vertex PI eigenvalues,
Laplacian vertex PI energy,
vertex PI index

##### 128 Normalized Laplacian Eigenvalues of Graphs

**Authors:**
Shaowei Sun

**Abstract:**

**Keywords:**
graph,
normalized Laplacian eigenvalues,
normalized Laplacian matrix,
tree

##### 127 Extremal Laplacian Energy of Threshold Graphs

**Authors:**
Seyed Ahmad Mojallal

**Abstract:**

**Keywords:**
Laplacian eigenvalues,
Laplacian energy,
threshold graphs,
extremal graphs

##### 126 The Second Smallest Eigenvalue of Complete Tripartite Hypergraph

**Authors:**
Alfi Y. Zakiyyah,
Hanni Garminia,
M. Salman,
A. N. Irawati

**Abstract:**

**Keywords:**
connectivity,
graph,
hypergraph,
Laplacian matrix

##### 125 Some New Bounds for a Real Power of the Normalized Laplacian Eigenvalues

**Authors:**
Ayşe Dilek Maden

**Abstract:**

**Keywords:**
degree Kirchhoff index,
normalized Laplacian eigenvalue,
spanning tree,
simple connected graph

##### 124 Improvement a Lower Bound of Energy for Some Family of Graphs, Related to Determinant of Adjacency Matrix

**Authors:**
Saieed Akbari,
Yousef Bagheri,
Amir Hossein Ghodrati,
Sima Saadat Akhtar

**Abstract:**

**Keywords:**
eigenvalues,
energy,
line graphs,
matching number

##### 123 The Vertex Degree Distance of One Vertex Union of the Cycle and the Star

**Authors:**
Ying Wang,
Haiyan Xie,
Aoming Zhang

**Abstract:**

**Keywords:**
degree distance,
vertex-degree-distance,
one vertex union of a cycle and a star,
graph

##### 122 Normalized P-Laplacian: From Stochastic Game to Image Processing

**Authors:**
Abderrahim Elmoataz

**Abstract:**

**Keywords:**
normalized p-laplacian,
image processing,
stochastic game,
inverse problems

##### 121 Nullity of t-Tupple Graphs

**Authors:**
Khidir R. Sharaf,
Didar A. Ali

**Abstract:**

**Keywords:**
graph theory,
graph spectra,
nullity of graphs,
statistic

##### 120 Kirchoff Type Equation Involving the p-Laplacian on the Sierpinski Gasket Using Nehari Manifold Technique

**Authors:**
Abhilash Sahu,
Amit Priyadarshi

**Abstract:**

**Keywords:**
Euler functional,
p-Laplacian,
p-energy,
Sierpinski gasket,
weak solution

##### 119 The K-Distance Neighborhood Polynomial of a Graph

**Authors:**
Soner Nandappa D.,
Ahmed Mohammed Naji

**Abstract:**

**Keywords:**
vertex degrees,
distance in graphs,
graph operation,
Nk-polynomials

##### 118 Quantum Graph Approach for Energy and Information Transfer through Networks of Cables

**Authors:**
Mubarack Ahmed,
Gabriele Gradoni,
Stephen C. Creagh,
Gregor Tanner

**Abstract:**

**Keywords:**
eigenvalues,
multiple-input multiple-output,
quantum graph,
random matrix theory,
transmission line

##### 117 Using Eigenvalues and Eigenvectors in Population Growth and Stability Obtaining

**Authors:**
Abubakar Sadiq Mensah

**Abstract:**

**Keywords:**
eigenvalues,
eigenvectors,
population,
growth/stability

##### 116 Inverse Scattering for a Second-Order Discrete System via Transmission Eigenvalues

**Authors:**
Abdon Choque-Rivero

**Abstract:**

**Keywords:**
inverse scattering,
discrete system,
transmission eigenvalues,
Marchenko method

##### 115 GPU-Accelerated Triangle Mesh Simplification Using Parallel Vertex Removal

**Authors:**
Thomas Odaker,
Dieter Kranzlmueller,
Jens Volkert

**Abstract:**

**Keywords:**
computer graphics,
half edge collapse,
mesh simplification,
precomputed simplification,
topology preserving

##### 114 Fundamental Solutions for Discrete Dynamical Systems Involving the Fractional Laplacian

**Authors:**
Jorge Gonzalez Camus,
Valentin Keyantuo,
Mahamadi Warma

**Abstract:**

**Keywords:**
discrete fractional Laplacian,
explicit representation of solutions,
fractional heat and wave equations,
fundamental

##### 113 Construction of Graph Signal Modulations via Graph Fourier Transform and Its Applications

**Authors:**
Xianwei Zheng,
Yuan Yan Tang

**Abstract:**

**Keywords:**
graph signals,
windowed graph Fourier transform,
windowed graph Fourier frames,
vertex frequency analysis

##### 112 FPGA Implementation of Novel Triangular Systolic Array Based Architecture for Determining the Eigenvalues of Matrix

**Authors:**
Soumitr Sanjay Dubey,
Shubhajit Roy Chowdhury,
Rahul Shrestha

**Abstract:**

**Keywords:**
coordinate rotation digital computer,
three angle complex rotation,
triangular systolic array,
QR algorithm

##### 111 Matrix Valued Difference Equations with Spectral Singularities

**Authors:**
Serifenur Cebesoy,
Yelda Aygar,
Elgiz Bairamov

**Abstract:**

**Keywords:**
asymptotics,
continuous spectrum,
difference equations,
eigenvalues,
jost functions,
spectral singularities

##### 110 Passive Control of Elliptic Jet by Using Triangular and Truncated Tabs

**Authors:**
Saif Akram,
E. Rathakrishnan

**Abstract:**

**Keywords:**
elliptic jet,
tabs,
truncated,
triangular

##### 109 Undirected Endo-Cayley Digraphs of Cyclic Groups of Order Primes

**Authors:**
Chanon Promsakon,
Sayan Panma

**Abstract:**

**Keywords:**
endo-Cayley graph,
undirected digraphs,
cyclic groups,
endomorphism

##### 108 Identifying Coloring in Graphs with Twins

**Authors:**
Souad Slimani,
Sylvain Gravier,
Simon Schmidt

**Abstract:**

**Keywords:**
identifying coloring,
locally identifying coloring,
twins,
separating

##### 107 Electromyography Pattern Classification with Laplacian Eigenmaps in Human Running

**Authors:**
Elnaz Lashgari,
Emel Demircan

**Abstract:**

**Keywords:**
electromyography,
manifold learning,
ISOMAP,
Laplacian Eigenmaps,
locally linear embedding

##### 106 Edge Detection in Low Contrast Images

**Authors:**
Koushlendra Kumar Singh,
Manish Kumar Bajpai,
Rajesh K. Pandey

**Abstract:**

**Keywords:**
low contrast image,
fractional order differentiator,
Laplacian of Gaussian (LoG) method,
chebyshev polynomial

##### 105 The Dynamics of a 3D Vibrating and Rotating Disc Gyroscope

**Authors:**
Getachew T. Sedebo,
Stephan V. Joubert,
Michael Y. Shatalov

**Abstract:**

**Keywords:**
Bryan’s effect,
bending vibrations,
disc gyroscope,
eigenfunctions,
eigenvalues,
tuning conditions

##### 104 Chaos in a Stadium-Shaped 2-D Quantum Dot

**Authors:**
Roger Yu

**Abstract:**

**Keywords:**
quantum dot,
chaos,
numerical method,
eigenvalues

##### 103 A Variant of a Double Structure-Preserving QR Algorithm for Symmetric and Hamiltonian Matrices

**Authors:**
Ahmed Salam,
Haithem Benkahla

**Abstract:**

**Keywords:**
block implicit QR algorithm,
preservation of a double structure,
QR algorithm,
symmetric and Hamiltonian structures

##### 102 A Time-Reducible Approach to Compute Determinant |I-X|

**Authors:**
Wang Xingbo

**Abstract:**

*X*| is primary and fundamental because it can help to compute many other determinants. This article puts forward a time-reducible approach to compute determinant |I-

*X*|. The approach is derived from the Newton’s identity and its time complexity is no more than that to compute the eigenvalues of the square matrix

*X*. Mathematical deductions and numerical example are presented in detail for the approach. By comparison with classical approaches the new approach is proved to be superior to the classical ones and it can naturally reduce the computational time with the improvement of efficiency to compute eigenvalues of the square matrix.

**Keywords:**
algorithm,
determinant,
computation,
eigenvalue,
time complexity

##### 101 Existence and Concentration of Solutions for a Class of Elliptic Partial Differential Equations Involving p-Biharmonic Operator

**Authors:**
Debajyoti Choudhuri,
Ratan Kumar Giri,
Shesadev Pradhan

**Abstract:**

**Keywords:**
p-Laplacian,
p-biharmonic,
elliptic PDEs,
Concentration lemma,
Sobolev space

##### 100 Biologically Inspired Small Infrared Target Detection Using Local Contrast Mechanisms

**Authors:**
Tian Xia,
Yuan Yan Tang

**Abstract:**

**Keywords:**
small target detection,
local contrast,
human vision system,
Laplacian of Gaussian