Results 21 to 30 of about 73,165 (262)
On Laplacian Equienergetic Signed Graphs
Journal of Mathematics, 2021 The Laplacian energy of a signed graph is defined as the sum of the distance of its Laplacian eigenvalues from its average degree. Two signed graphs of the same order are said to be Laplacian equienergetic if their Laplacian energies are equal.
Qingyun Tao, Lixin Tao
doaj +1 more source
Spektrum Laplace pada graf kincir angin berarah (Q_k^3)
Majalah Ilmiah Matematika dan Statistika, 2022 Suppose that 0 = µ0 ≤ µ1 ≤ ... ≤ µn-1 are eigen values of a Laplacian matrix graph with n vertices and m(µ0), m(µ1), …, m(µn-1) are the multiplicity of each µ, so the Laplacian spectrum of a graph can be expressed as a matrix 2 × n whose line elements ...
Melly Amaliyanah +2 more
doaj +1 more source
Journal of Mathematics, 2021 Let G be a graph with n vertices, and let LG and QG denote the Laplacian matrix and signless Laplacian matrix, respectively. The Laplacian (respectively, signless Laplacian) permanental polynomial of G is defined as the permanent of the characteristic ...
Tingzeng Wu, Tian Zhou
doaj +1 more source
Mathematics, 2021 Unravelling how the human brain structure gives rise to function is a central question in neuroscience and remains partially answered. Recent studies show that the graph Laplacian of the human brain’s structural connectivity (SC) plays a dominant role in
Jichao Ma +3 more
doaj +1 more source
On graphs with distance Laplacian eigenvalues of multiplicity n−4
AKCE International Journal of Graphs and Combinatorics, 2023 Let G be a connected simple graph with n vertices. The distance Laplacian matrix [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is the diagonal matrix of vertex transmissions and [Formula: see text] is the distance ...
Saleem Khan, S. Pirzada, A. Somasundaram
doaj +1 more source
On the Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph [PDF]
, 2010 summary:The Laplacian, signless Laplacian and normalized Laplacian characteristic polynomials of a graph are the characteristic polynomials of its Laplacian matrix, signless Laplacian matrix and normalized Laplacian matrix, respectively.
Li, Jianxi +3 more
core +1 more source
Hermitian Laplacian Matrix of Directed Graphs [PDF]
Jisuanji kexue, 2023 Laplacian matrix plays an important role in the research of undirected graphs.From its spectrum,some structure and properties of a graph can be deduced.Based on this,several efficient algorithms have been designed for relevant tasks in graphs,such as ...
LIU Kaiwen, HUANG Zengfeng
doaj +1 more source
Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]
, 2009 Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis, D Matignon
core +1 more source
Color laplacian and color signless laplacian energy of complement of subgroup graph of dihedral group [PDF]
, 2020 Laplacian and signless laplacian energy of a finite graph is the most interesting topics on areas of energy of a graph. The new concept of energy of a graph is color energy and furthermore color laplacian and color signless laplacian energy.
Mohammad Jauhari +7 more
core +1 more source
A class of digraphs which have completely real Laplacian spectra(一类具有全实Laplacian谱的有向图)
Zhejiang Daxue xuebao. Lixue ban, 2011 分别研究了一类带有Hamiltonian路和带有Hamiltonian圈的有向图的基本有圈性(essential cyclicity)，给出了这种有向图的Laplacian谱，表明这些图具有全实的Laplacian谱.
SULi(苏莉), LIHong-hai(李红海)
doaj +1 more source