On the nullity of unicyclic graphs
Web1 de dez. de 2010 · The nullity of a graph is defined as the multiplicity of the eigenvalue zero in the spectrum of the adjacency matrix of the graph. We investigate a class of … Web1 de out. de 2008 · The nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. In this paper, we obtain the nullity set of bicyclic graphs of order n, and …
On the nullity of unicyclic graphs
Did you know?
Web2 de jul. de 2011 · In this paper we introduce the nullity of signed graphs, and give some results on the nullity of signed graphs with pendant trees. ... We characterize the unicyclic signed graphs of order n with nullity n-2; n-3; n-4; n-5 respectively. Subjects: Combinatorics (math.CO) MSC classes: 05C50: Cite as: WebUN Sustainable Development Goals. In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. Our work contributes towards the following SDG(s):
WebLinear Algebra, Linear Models, Matrices and Graphs, Nonnegative Matrices , Graphs and Matrices in Graph Theory, Network Theory and Applications Expertise related to UN Sustainable Development Goals In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure … WebOther known results are, dimensions at least 3 were proven by Bong et al., for example, the 𝑚-shadow graph by Adawiyah et [12], for almost hypercube graphs by Alfarisi et al., al., …
Web10 graph. 1) граф. 2) ... - nullity graph - odd graph - one-point graph - operator graph - order graph - orderable graph - ordinary graph - orientable graph - outer-embeddable graph - overlap graph ... - unicyclic graph - uniform graph - unilateral graph - unilaterally connected graph - unimodular graph WebThe nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. In this paper we show the expression of the nullity and nullity set of unicyclic graphs with n vertices and girth r, and characterize the unicyclic graphs with extremal nullity.
Web19 de jan. de 2024 · There has been significant work on the nullity of undirected graphs like trees [6, 8, 10], unicyclic graphs [12, 16], and bicyclic graphs [3, 5, 23]. It is well-known that a tree is nonsingular if and only if it has a perfect matching.
Web1 de set. de 2009 · The nullity of unicyclic graphs For the sake of convenience, we will assume that G is a unicyclic graph with n vertices and the the cycle in G is denoted by … darth vader costume bootsWebOn the nullity and the matching number of unicyclic graphs . × Close Log In. Log in with Facebook Log in with Google. or. Email. Password ... On the nullity and the matching number of unicyclic graphs. Weigen Yana. 2009, Linear Algebra and its Applications. Let G = (V(G), E(G)) be a simple graph with vertex set V (G) = {v 1 , v 2 , ... darth vader cooler armorWeb2040 H.-H. Li et al. / Linear Algebra and its Applications 437 (2012) 2038–2055 attaining the bounds n −2 and n −3, respectively.For the class of graphs with pendent vertices, Li [20] determined the extremal graphs which achieve the third and fourth upper bounds n − 4 and n − 5, respectively. Tan and Liu [28] studied the nullity and singularity of the unicyclic … bistec argentinoWebThe nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. In this paper we show the expression of the nullity and nullity set of unicyclic graphs with vertices … bistec borrachoWeb, On the nullity of unicyclic graphs, LinAlgebra Appl 408 (2005), 212 – 220. Google Scholar Cross Ref [14] Wojnicki I. , Kotulski L. , Sedziwy A. and Ernst S. , Application ofDistributed Graph Transformations to Automated Generation of ControlPatterns for Intelligent Lighting Systems , J Comput Sci 23 ( 2024 ), 20 – 30 . bistec and riceWebLet G be a graph with n vertices and q(G) be the maximum matching number of G. Let η(G) denote the nullity of G (the multiplicity of the eigenvalue zero of G). It is shown that the nullity algorithm of tree and unicyclic graph. At the same time, to prove two algorithms are efficient. Keywords. Tree; Unicyclic Graph; Nullity Algorithm bistec boadillaWebA unicyclic graph is a connected graph containing exactly one cycle (Harary 1994, p. 41). A connected unicyclic graph is therefore a pseudotree that is not a tree. Truszczyński … darth vader costume target