site stats

Spectra of unicyclic graphs

WebMay 3, 2024 · In particular, λ1 (G) is called the spectral radius of G, λn (G) is the least eigenvalue of G, and the spread of G is defined to be the difference between λ1 (G) and λn (G). Let U (n) be the set of... WebJun 17, 2024 · [Submitted on 17 Jun 2024] On the spectral radius of unicyclic and bicyclic graphs with a fixed diameter F.F. Wang, H.Y. Shan, Y.Y. Zhai The -spectral radius of a …

Laplacian Spectral Characterization of Some Unicyclic Graphs - Hindawi

WebJan 15, 2013 · It was conjectured by Li and Feng in 1979 that the unicyclic graph formed by a cycle of order g linking to an endvertex of a path of length k minimizes the spectral radius of all unicyclic graphs of order g + k and girth g. In 1987, Cao proved that this conjecture is true for k ≥ g ( g − 2)/8 and false for k = 2 and sufficiently large g. WebA 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 … prednisone induced hypomania https://mondo-lirondo.com

Spectral properties of a class of unicyclic graphs

WebAug 28, 2024 · We prove that a class of unicyclic graphs with cospectral mates is DHS, and give two examples of infinitely many pairs of cospectral unicyclic graphs but with … Webunicyclic graphs are determined by their signless Laplacian spectra. 1. Introduction Throughout the paper, G V,E is an undirected simple graph with nvertices and medges. If Gis connected with m n c − 1, then Gis called a c-cyclic graph. Especially, if c 0or1, then Gis called a tree or a unicyclic graph, respectively. Let U n be the class of ... WebDiagrams of the 89 unicyclic graphs on eight vertices are given in the Ap-pendix of [33]. They are ordered lexicographically by spectral moments. For each graph the eigenvalues, the first six spectral moments and coefficients of the char-acteristic polynomial are given. ' Diagrams of the 240 unicyclic graphs on nine vertices are ordered lexico- prednisone for yeast infection

The spread of unicyclic graphs with given size of maximum

Category:按Laplace谱半径对一些偶单圈图的排序_参考网

Tags:Spectra of unicyclic graphs

Spectra of unicyclic graphs

Laplacian Spectral Characterization of Some Unicyclic Graphs - Hindawi

WebA 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 (1984) conjectured that all unicyclic graphs except the cycle graph with … WebCharacterizing Graphs with Nullity n-4. Manjunatha Prasad Karantha. 2024, Match ...

Spectra of unicyclic graphs

Did you know?

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. Unicyclic graphs are discussed in the context of graph orderings related to … WebAug 26, 2016 · On Unicyclic Graphs Spectra: New Results Abstract: Let G = (V, E) be a unicyclic simple undirected graph. In this paper, we investigate the spectra of a particular …

WebFor integers n and Δ with 3 ≤ Δ ≤ n − 2, we prove that among the connected graphs on n vertices of given maximum degree Δ with at least one cycle, the graph U (n, Δ) uniquely maximizes the distance spectral radius, where U (n, Δ) is the graph obtained from the disjoint star on Δ vertices and path on n − Δ vertices by adding two ... WebThe spectrum of weighted graphs are often used to solve the problems in the design of networks and electronic circuits. In this article, we identify the (unique) weighted unicyclic …

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 i … WebDec 15, 2024 · The Aα -spectral radius of unicyclic graphs The special unicyclic graph U D * has been introduced by Zhang [14]. For a given nonincreasing unicyclic graphic sequence D = ( d 0, d 1, …, d n − 1) with n ≥ 3, U D * = C n if d 0 = 2 obviously. Next, we assume that d0 ≥ 3. Set G 3 = C 3 = v 0 v 1 v 2 v 0.

Webcospectral invariants of unicyclic graphs. We prove that a class of unicyclic graphs with cospectral mates is DHS, and give two examples of in nitely many pairs of cospectral unicyclic graphs but with di erent high-ordered spectra. 1. Introduction The graph isomorphism problem is one of few standard problems in computational complexity theory

WebSearch within Zikai Tang's work. Search Search. Home; Zikai Tang scoring the vanderbilt adhd assessmentWeb郭 强匹配数为2的单圈图最大匹配根排序郭强（南通大学 理学院，江苏 南通 226019）设是一个具有个点的简单连通图，图的 ... scoring the wab r bedsideWebAug 26, 2016 · On Unicyclic Graphs Spectra: New Results Abstract: Let G = (V, E) be a unicyclic simple undirected graph. In this paper, we investigate the spectra of a particular class of unicyclic graphs G (q, n1) where q is the size of the unique cycle. Each vertex of the unique cycle is attached to n1 vertices. prednisone in blood testsWebUnicyclic graphs are discussed in the context of graph orderings related to eigenvalues. Several theorems involving lexicographical ordering by spectral moments as well as the … scoring the vineland 3 onlineWeb张 海 霞 ( 1.大连理工大学 数学科学学院, 辽宁 大连 116024;2.太原科技大学 数学系, 山西 太原 030024 ) . 按Laplace谱半径对一些偶单圈图的排序 scoring the stroop testWebMay 3, 2024 · In particular, λ1 (G) is called the spectral radius of G, λn (G) is the least eigenvalue of G, and the spread of G is defined to be the difference between λ1 (G) and λn (G). Let U (n) be the set of... scoring the wab bedsideWebAug 28, 2024 · The spectrum of $G$ is referring to its adjacency matrix, and the spectrum of $G^m$ is referring to its adjacency tensor. The graph $G$ is called determined by high-ordered spectra (DHS for... scoring the wold sentence copying test