WebAbstract We present a new method to construct a family of co-spectral graphs. Our method is based on a new type of graph product that we define, the bipartite graph product, which may be of self-interest. Our method is different from existing techniques in the sense that it is not based on a sequence of local graph operations (e.g. Godsil–McKay … WebJan 18, 2024 · Eigenvalues of signed graphs. Signed graphs have their edges labeled either as positive or negative. denote the -spectral radius of , where is a real symmetric graph matrix of . Obviously, . Let be the adjacency matrix of and be a signed complete graph whose negative edges induce a subgraph .
Constructing cospectral signed graphs - Taylor & Francis
WebSome new constructions for families of cospectral graphs are derived, and some old ones are considerably generalized. One of our new constructions is sufficiently powerful to produce an estimated 72% of the 51039 graphs on 9 vertices which do not have unique … WebA well-known fact in Spectral Graph Theory is the existence of pairs of cospectral (or isospectral) nonisomorphic graphs, known as PINGS. The work of A.J. Schwenk (in 1973) and of C. Godsil and B. McKay (in 1982) shed some light on the explanation of the presence of cospectral graphs, and they gave routines to construct PINGS. o-woche passau
Constructing cospectral signed graphs - Taylor & Francis
WebSeidel switching is an operation on graphs G satisfying certain regularity properties so that the resulting graph H has the same spectrum as G . If G is simple then the complement of G and the complement of H are also cospectral. We use a generalization ... WebFeb 15, 2024 · Constructing cospectral signed graphs. F. Belardo, M. Brunetti, Matteo Cavaleri, A. Donno; Mathematics. Linear and Multilinear Algebra. 2024; ABSTRACT A well-known fact in Spectral Graph Theory is the existence of pairs of cospectral (or isospectral) nonisomorphic graphs, known as PINGS. WebConstructing cospectral graphs. Constructing cospectral graphs. Chris Godsil. 1982, Aequationes Mathematicae. DigiZeitschriften e.V. gewährt ein nicht exklusives, nicht übertragbares, persönliches und beschränktes Recht auf Nutzung dieses Dokuments. Dieses Dokument ist ausschließlich für den persönlichen, nicht kommerziellen Gebrauch ... o-works ss 2.0 グリップ red/black