On the nullity of unicyclic graphs
WebWe called graph G non-singular if adjacency matrix A (G) of G is non-singular. A connected graph with n vertices and n-1, n and n+1 edges are called the tree, the unicyclic graph and the bicyclic graph. Respectively, as we all know, each connected bicyclic graph must contain ∞(a,s,b) or θ(p,l,q) as the induced subgraph. In this paper, by using three graph … 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
On the nullity of unicyclic graphs
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Web2 de jul. de 2011 · The nullity of unicyclic signed graphs July 2011 DOI: arXiv Authors: Yi-Zheng Fan Anhui University Yue Wang Yi Wang Zhejiang University Request full-text … WebLet 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
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: Web1 de nov. de 2011 · The nullity of a graph G, denoted by η (G), is the multiplicity of the eigenvalue zero in all eigenvalues of G. We investigate the maximal nullity among all …
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., … 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.
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 …
WebThe least ϵ -eigenvalue of unicyclic graphs. Let ξ i 1 > ξ i 2 > ⋯ > ξ i k be all the distinct ϵ -eigenvalues of a connected graph G. Then the ϵ -spectrum of G can be written as S p e c ϵ ( G) = ξ i 1 ξ i 2 … ξ i k m 1 m 2 … m k, where m j is the multiplicity of the eigenvalue ξ … how to reset genshin accountWebThe 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. north carolina tar heels football statshttp://jmre.ijournals.cn/en/ch/reader/create_pdf.aspx?file_no=20150101&flag=1&journal_id=en&year_id=2015 north carolina tar heels furnitureWeb15 de abr. de 2011 · The paper [9] obtained the maximum nullity for the unicyclic graphs, and characterized the unicyclic graphs with themaximumnullity. The paper [7] solved … north carolina tar heels football mascotWebUN 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): north carolina tar heels in the nbaWeb15 de out. de 2012 · A connected graph with a unique cycle is called a unicyclic graph. A unicyclic graph with depth one may be thought of as being obtained from a cycle by … how to reset ge link smart bulbsWeb22 de mai. de 2014 · The 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 … north carolina tar heels head coach