Constructing cospectral graphs
WebApr 11, 2024 · Gain graphs can be regarded as a generalization of signed graphs, among others. In this work, we show a new switching method to construct cospectral gain … WebApr 11, 2024 · Gain graphs can be regarded as a generalization of signed graphs, among others. In this work, we show a new switching method to construct cospectral gain graphs. Some previous methods known for graph …
Constructing cospectral graphs
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WebApr 7, 2024 · A switching method for constructing cospectral gain graphs. A gain graph over a group , also referred to as -gain graph, is a graph where an element of a group , … WebApr 7, 2024 · A switching method for constructing cospectral gain graphs. A gain graph over a group , also referred to as -gain graph, is a graph where an element of a group , called gain, is assigned to each oriented edge, in such a way that the inverse element is associated with the opposite orientation. Gain graphs can be regarded as a …
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 … 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 ...
WebApr 11, 2024 · A switching method for constructing cospectral gain graphs. Decentralized Proximal Optimization Method with Consensus Procedure. Additivity of multiplicative (generalized) skew semi-derivations on rings. 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.
WebNov 1, 2003 · Which graphs are determined by their spectrum? For almost all graphs the answer to the question in the title is still unknown. Here we survey the cases for which the answer is known. Not only the adjacency matrix, but also other types of matrices, such as the Laplacian matrix, are considered.
WebApr 7, 2024 · graphs [3] and complex unit graphs [4], and more recently, also to ga in graphs ov er an arbitrary group [8]. The W QH-switching has also been extended, in its simpler form, to pair of radiator valvesWebApr 17, 2024 · 1. The Spectrum of a Graph. Two graphs and are called cospectral if their adjacency matrices and have the same eigenvalues. This is the same as saying that … pair of ravensWebVol. 25, 1982 Constructing cospectral graphs 259 (a) OZ =/~. (b) If X is an m x n matrix with constant row sums and constant column sums, then QmXQ~ = X. (c) If x is a vector … pair of red horses vastuWebJan 1, 2024 · Two graphs G and H are cospectral if they share the same spectrum. Constructing cospectral non-isomorphic graphs has been investigated for many years and various constructions are known in the literature, among which, the GM-switching, invented by Godsil and McKay in 1982, is proved to a simple and powerful one. sukin body lotion lime and coconutWebAug 10, 2024 · Download PDF Abstract: Construction of non-isomorphic cospectral graphs is a nontrivial problem in spectral graph theory specially for large graphs. In this paper, we establish that graph theoretical partial transpose of a graph is a potential tool to create non-isomorphic cospectral graphs by considering a graph as a clustered graph. sukin body wash reviewWebin spectral graph theory, and hence, methods for constructing cospectral graphs are of interest. To date, such construction methods have mainly fallen into two categories. The … sukin body wash 1 litreWebAbstract 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 … sukin blemish control spot banishing gel 15ml