Results 21 to 30 of about 197 (156)

Diagonalizable matrices whose graph is a tree: the minimum number of distinct eigenvalues and the feasibility of eigenvalue assignments

open access: yesSpecial Matrices, 2019
Considered are combinatorially symmetric matrices, whose graph is a given tree, in view of the fact recent analysis shows that the geometric multiplicity theory for the eigenvalues of such matrices closely parallels that for real symmetric (and complex ...
Saiago Carlos M.
doaj   +1 more source

Fast evaluation of nonlinear functionals of tensor product wavelet expansions [PDF]

open access: yes, 2010
For a nonlinear functional f, and a function u from the span of a set of tensor product interpolets, it is shown how to compute the interpolant of f (u) from the span of this set of tensor product interpolets in linear complexity, assuming that the index
Christoph Schwab   +5 more
core   +1 more source

Structures of W(2.2) Lie conformal algebra

open access: yesOpen Mathematics, 2016
The purpose of this paper is to study W(2, 2) Lie conformal algebra, which has a free ℂ[∂]-basis {L, M} such that [LλL]=(∂+2λ)L,[LλM]=(∂+2λ)M,[MλM]=0$\begin{equation}[{L_\lambda }L] = (\partial + 2\lambda )L,[{L_\lambda }M] = (\partial + 2\lambda )M,[{M_\
Yuan Lamei, Wu Henan
doaj   +1 more source

The location of classified edges due to the change in the geometric multiplicity of an eigenvalue in a tree

open access: yesSpecial Matrices, 2019
Given a combinatorially symmetric matrix A whose graph is a tree T and its eigenvalues, edges in T can be classified in four categories, based upon the change in geometric multiplicity of a particular eigenvalue, when the edge is removed.
Toyonaga Kenji
doaj   +1 more source

On The Set-Theoretic Complete Intersection Property for the Edge Ideals of Whisker Graphs [PDF]

open access: yes, 2014
We show that the edge ideals of some whisker graphs are set-theoretic complete intersections.
Macchia, Antonio
core   +1 more source

Comparison of alignment free string distances for complete genome phylogeny

open access: yes, 2009
Phylogeny, String distances, Complete bacterial genomes, 05C05, 68R15, 90C27, 92B10,
Alain Guénoche   +7 more
core   +1 more source

Branch-Weight Unique Trees

open access: yesDiscussiones Mathematicae Graph Theory, 2022
A branch at a vertex x in a tree is a maximal subtree containing x as an endvertex. The branch-weight of x is the maximum number of edges in any branch at x.
Shang Jen-Ling
doaj   +1 more source

The classification of edges and the change in multiplicity of an eigenvalue of a real symmetric matrix resulting from the change in an edge value

open access: yesSpecial Matrices, 2017
We take as given a real symmetric matrix A, whose graph is a tree T, and the eigenvalues of A, with their multiplicities. Each edge of T may then be classified in one of four categories, based upon the change in multiplicity of a particular eigenvalue ...
Toyonaga Kenji, Johnson Charles R.
doaj   +1 more source

Total Roman {2}-Dominating Functions in Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2022
A Roman {2}-dominating function (R2F) is a function f : V → {0, 1, 2} with the property that for every vertex v ∈ V with f(v) = 0 there is a neighbor u of v with f(u) = 2, or there are two neighbors x, y of v with f(x) = f(y) = 1.
Ahangar H. Abdollahzadeh   +3 more
doaj   +1 more source

Some improved bounds on two energy-like invariants of some derived graphs

open access: yesOpen Mathematics, 2019
Given a simple graph G, its Laplacian-energy-like invariant LEL(G) and incidence energy IE(G) are the sum of square root of its all Laplacian eigenvalues and signless Laplacian eigenvalues, respectively. This paper obtains some improved bounds on LEL and
Cui Shu-Yu, Tian Gui-Xian
doaj   +1 more source

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