On the nullity of unicyclic graphs

Webthe 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. WebCharacterizing Graphs with Nullity n-4. Manjunatha Prasad Karantha. 2024, Match ...

A Note on the Nullity of Unicyclic Graphs - Scientific Research …

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 … can a divorced couple file jointly https://blufalcontactical.com

K Manjunatha Prasad — Manipal Academy of Higher Education, …

WebUnicyclic graphs are discussed in the context of graph orderings related to eigenvalues. Several theorems involving lexicographical ordering by spectral moments as well as the ordering by the largest eigenvalue are proved. An appendix contains a table of the 89 unicyclic graphs on eight vertices together with their spectra, spectral moments and … 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 … WebHá 1 dia · The revised edge Szeged index of is defined as , where (resp., ) is the number of edges whose distance to vertex (resp., ) is smaller than the distance to vertex (resp., ), … fishermans sulphur la

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Category:On the nullity and the matching number of unicyclic graphs

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On the nullity of unicyclic graphs

Vertex betweenness centrality of corona graphs and unicyclic …

http://files.ele-math.com/abstracts/oam-09-18-abs.pdf 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 .

On the nullity of unicyclic graphs

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Web1 de jan. de 2024 · Note on the Unicyclic Graphs With the First Three Largest Wiener Indices by E. Glogić, Lj. Pavlović published in Kragujevac Journal of Mathematics. ... A Note on the Nullity of Unicyclic Graphs Applied Mathematics. 2014 English. The Largest Laplacian Spectral Radius of Unicyclic Graphs With Fixed Diameter 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., …

Web6 de abr. de 2024 · The \(\alpha \)-spectral radius of a connected graph G is the spectral radius of \(A_\alpha \)-matrix of G.In this paper, we discuss the methods for comparing … 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 …

Web17 de ago. de 2016 · Here, by using Theorem 19.2.13, we compute the nullity of triangular benzenoid graph G[n], depicted in Fig. 19.4.The maximum matching of G[n] is depicted … 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 …

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 … can a divorce decree be contestedWeb1 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 … fishermans supply pointWeb2040 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] … can a divorced man be a catholic priestWebwhere M 1 (Γ) and F (Γ) present the first Zagreb and forgotten indices of the (molecular) graph, respectively. Furthermore, they found the bounds of the Lz index for acyclic … fishermans supply portlandWeb1 de jan. de 2012 · The nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in the spectrum of A(G). Denote by Ck and Lk the set of all connected … can a divorced man be a bachelorWebAs 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. … fishermans sweater minneapolis shoppingWebUN 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): fishermans sweatshirt