Spectra of unicyclic graphs
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 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. 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.
Spectra of unicyclic graphs
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WebMay 3, 2024 · A unicyclic graph is a connected graph with a unique cycle. The spectral radius of unicyclic graphs has been studied extensively these years. Guo [ 2] determined … WebSearch within Zikai Tang's work. Search Search. Home; Zikai Tang
WebMar 26, 2024 · As an application, we determine signed graphs that maximize the spectral radius in the class of unicyclic signed graphs with fixed order and girth. We also give certain upper bounds on the... WebDec 18, 2013 · Abstract. Let be the set of all unicyclic graphs with vertices and cycle length .For any , consists of the (unique) cycle (say ) of length and a certain number of trees attached to the vertices of having (in total) edges. If there are at most two trees attached to the vertices of , where is even, we identify in the class of unicyclic graphs those graphs …
WebMatrix-graph theory is a fascinating subject that ties together two seemingly unrelated branches of mathematics. Because it makes use of both the combinatorial properties and the numerical properties of a matrix, this area of mathematics is fertile ground for research at the undergraduate, graduate, and professional levels. WebAug 22, 2016 · 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...
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WebChromatic spectrum of a colored graph G is a multiset of eigenvalues of colored adjacency matrix of G. The nullity of a disconnected graph is equal to sum of nullities of its components but we show that this result does not hold for colored graphs. In this paper, we investigate the chromatic spectrum of three different classes of 2-regular ... harry\\u0027s sub shopWebUnicyclic 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 … harry\u0027s stone grill madison inWebSep 3, 2014 · Abstract. Let be the unicyclic graph with vertices obtained by attaching two paths of lengths and at two adjacent vertices of cycle .Let be the unicyclic graph with vertices obtained by attaching paths of lengths at the same vertex of cycle .In this paper, we prove that and are determined by their Laplacian spectra when is even.. 1. Introduction. … charlestown apartment buildingsWebunicyclic 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 ... harry\\u0027s suits reviewsWebAug 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... harry\u0027s stone grill menu madison indianaWebJan 15, 2007 · In this paper, we study the spectral radius of unicyclic graphs with n vertices and diameter d. We determined graphs with the largest spectral radius among all the unicyclic graphs with n vertices and diameter d. harry\\u0027s subscription boxWeb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 harry\\u0027s subscription service