On the nullity of unicyclic graphs
WebAs applications, we show that every unicyclic graph G on n vertices satisfies , that the permanental nullity of the line graph of a graph is either zero or one and that the permanental nullity of a factor critical graph is always zero. …
On the nullity of unicyclic graphs
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WebA Note on the Nullity of Unicyclic Graphs Wei ZHU, Ting Zeng WU, Sheng Biao HU∗ Department of Mathematics, Qinghai Nationalities University, Qinghai 810007, P. R. China Abstract The number of zero eigenvalues in the spectrum of the graph G is called its nullity and is denoted by η(G). Web22 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 …
Web, 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 … Web23 de mai. de 2009 · The nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. We obtain some lower bounds for the nullity of graphs and we then find the nullity of bipartite graphs with no cycle of length a multiple of 4 as a subgraph. Among bipartite graphs on n vertices, the star has the greatest nullity (equal to n − 2). We …
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 Web16 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
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., …
Web, 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 . cipher\u0027s p0Webthe unicyclic graphs with nullity n 6 and n 7. Li and Chang [10] gave the nullity set of three kinds of bicyclic graphs, and characterized two kinds of bicyclic graphs with nullity n 6. More results on the nullity of special classes of simple graphs can be found in the papers [11–19]. In this paper, we discuss the nullity of the signed graphs. dialysis clinic in gulfport msWebsolved completely. Much attention is focused on graphs with few edges, e.g. trees, unicyclic graphs, bicyclic graphs. The nullity of a tree can be given in explicity form in terms of the matching number of the tree; see e.g. [5] and [11] for discussion on trees with maximum nullity. Tan and Liu [14] give the nullity set of unicyclic graphs of ... dialysis clinic inc ukiah caWeb23 de mai. de 2009 · The nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. We obtain some lower bounds for the nullity of graphs and we then find the … cipher\\u0027s p0Web1 de fev. de 2013 · 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 … dialysis clinic inc tennesseeWebThe nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. In this paper, we obtain the nullity set of n-vertex unicyclic graphs, and characterize the unicyclic … dialysis clinic inc tnWebThe 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. cipher\u0027s p1