2024 Enumeration of cospectral graphs

Enumeration of cospectral graphs

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August undefined, 2024

WebSpectral characterizations of graphs A graph H cospectral with a graph G, but not isomorphic to G, is called a cospectral mate of G. Let Gbe a nite set of graphs, and let G0be the set of graphs in Gwhich have a cospectral mate in Gwith respect to a graph matrix M. The ratio jG0j=jGjis called the spectral uncertainty of (graphs from) Gwith ... WebFeb 1, 2004 · For an enumeration of such pairs of cospectral graphs, we refer to [4] and for a construction to [5]. ... There are five pairs of cospectral graphs on six vertices (see …

[2008.05786] Enumeration of cospectral and coinvariant graphs …

WebWe have enumerated all graphs on at most 11 vertices and determined their spectra with respect to various matrices, such as the adjacency matrix and the Laplacian matrix. We … Weba theorem in a paper showing that cospectral graphs do exist on n vertices for each n ≥4. •There are known examples of graphs which are regular and cospectral for A, such graphs are automatically also cospectral for L, Q, Land S. •There is a method to unfold bipartite graphs in two ways, and if the two parts of familysearch helper number

(PDF) Enumeration of Cospectral Graphs - ResearchGate

WebSep 24, 2024 · This calls for developing methods for detection and/or generation of cospectral non-isomorphic graphs. Well-known methods for construction of cospectral … Their precise relation with cospectral graphs (in the 1, x sense of this paper) would be … WebWe present enumeration results on the number of connected graphs up to 10 vertices for which there is at least one other graph with the same spectrum (cospectral mate), or at least one other graph with the same Smith normal form (coinvariant mate) with respect to several matrices associated to a graph. The presented numerical data give some … cool laptop bags for men

Enumeration of cubic Cayley graphs on dihedral groups

Number of cospectral graphs - Eindhoven University of Technology

WebFeb 1, 2009 · One is complete enumeration of all graphs on n vertices (n ... W.H. Haemers, J.H. Koolen, Cospectral graphs and the generalized adjacency matrix, Linear Algebra Appl. 423 (2007) 33–41. WebTY - JOUR. T1 - Enumeration of cospectral and coinvariant graphs. AU - Abiad Monge, Aida. AU - Alfaro, Carlos. PY - 2024/11/1. Y1 - 2024/11/1. N2 - We present enumeration results on the number of connected graphs up to 10 vertices for which there is at least one other graph with the same spectrum (cospectral mate), or at least one other graph with … cool laptop gadgets redditWebAug 13, 2024 · Download PDF Abstract: We present enumeration results on the number of connected graphs up to 10 vertices for which there is at least one other graph with the … cool laptop background ideas

"WebKeywords: Graph; Eigenvalue; Enumeration 1. Introduction In a sense the present paper is a sequel to Godsil and McKay’s article [5]oncospectral graphs. In there two graphs are called cospectral whenever their adjacency matrices have ... Non-isomorphic cospectral graphs with respect to L , L, A and A. the reason why wehavenoexampleon eight ... " - Enumeration of cospectral graphs

Enumeration of cospectral graphs

Cospectralgraphs - University of California, San Diego

WebJan 1, 2016 · A graph is said to be determined by its spectrum (per-spectrum), if any other graph which is cospectral (per-cospectral) to it is also isomorphic. Haemers and van Dam have conjectured that 'Almost ...

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WebW. H. Haemers & E. Spence, Enumeration of cospectral graphs, Europ. J. Combin. 25 (2004) 199-211. Mirko Lepović, Some statistical data on graphs with 10 vertices, Univ. Beograd Publikacija Elektrotehničkog Fakulteta - Serija: Matematika 9 (1998) 79-88. ... For n=11 the largest family of cospectral graphs has size 46. For n=12 it has size 128. WebJan 1, 2002 · PDF We study nonregular graphs with three eigenvalues. We determine all the ones with least eigenvalue -2, and give new infinite families of examples. Find, read …

WebFeb 27, 2024 · In this paper, we completely classify the cubic Cayley graphs on D 2p up to isomorphism by means of spectral method. By the way, we show that two cubic Cayley graphs on D 2p are isomorphic if and only if they are cospectral. Moreover, we obtain the number of isomorphic classes of cubic Cayley graphs on D 2p by using Gauss’ … WebDownloadable (with restrictions)! We present enumeration results on the number of connected graphs up to 10 vertices for which there is at least one other graph with the …

WebClosely related to the notion of cospectral graphs is the idea of cospectral vertices. We say that two vertices aand bof a graph Gare cospectral if the graphs Gnaand Gnbare cospectral graphs. Aside ... combinatorially as relating the enumeration of all closed walks at a vertex to the enumeration of non-returning closed walks at a vertex. Indeed ... WebOct 22, 2006 · The polynomial of a graph is the characteristic polynomial of its 0–1 adjacency matrix. Two graphs are cospectral if their polynomials are the same.. In this paper some of the results from a numerical study of the polynomials of graphs are presented. The study has encompassed 9 point graphs, 9 point bipartite graphs, 14 …

WebTY - JOUR. T1 - Enumeration of cospectral and coinvariant graphs. AU - Abiad Monge, Aida. AU - Alfaro, Carlos. PY - 2024/11/1. Y1 - 2024/11/1. N2 - We present enumeration …

WebFeb 27, 2024 · In this paper, we completely classify the cubic Cayley graphs on D 2p up to isomorphism by means of spectral method. By the way, we show that two cubic Cayley … cool laptop astheticWebJan 1, 2013 · Godsil and McKay provide a construction, which we call GM switching, that produces a large number of pairs of graphs that are cospectral; i.e., whose adjacencymatrices have the same spectra. ... Enumeration of cospectral graphs. European J. Combin., 25 (2) (2004), pp. 199-211. View PDF View article View in Scopus … cool language gamesWebApr 8, 2013 · of graphs on n vertices for which such a cospectral mate is known tends to 0 if n → ∞. On the other hand, it is difficult to show for a given graph G that there exists no graph. nonisomorphic but cospectral with G. Such a graph is called DS (determined by its. spectrum). Several special graphs are proven to be DS. This includes the complete ... cool laptop anime wallpaperWebTwo graphs are cospectral if their polynomials are the same. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo ... It is shown by … familysearch help videosWebJan 1, 2002 · PDF We study nonregular graphs with three eigenvalues. We determine all the ones with least eigenvalue -2, and give new infinite families of examples. Find, read and cite all the research you ... cool laptop backgrounds hd gamingWebThe adjacency spectrum of a graph Γ, denoted by Spec(Γ), is the multiset of eigen-values of its adjacency matrix. Two graphs are called cospectral if they share the same adjacency spectrum. A graph Γ is said to be determined by its spectrum (DS for short) if every graph cospectral with it is in fact isomorphic to it. The question ‘which graphs family search historical mapsWeband report statistics related to the number of cospectral graphs. 1 Introduction Let the spectrum of a graph be the spectrum of its 0-1 adjacency matrix. In connection with the graph isomorphism problem, it is of interest what ... Enumeration of cospectral graphs, Europ. J. Combin. 25 (2004) 199{211. 2. cool laptop lockscreens