The spectrum of the corona of two graphs
WebJan 1, 2010 · Given two graphs G1, with vertices 1,2,...,n and edges e1,e2,...,em, and G2, the edge corona G1 ¦ G2 of G1 and G2 is defined as the graph obtained by taking m copies of … WebY. P. Hou and W. C. Shiu, The spectrum of the edge corona of two graphs, Electron. J. Linear Algebra 20 (2010) 586–594. Crossref, Google Scholar; 12. G. Indulal, Spectrum of two new joins of graphs and infinite families of integral graphs, Kragujevac J. Math. 36 (2012) 133–139. Google Scholar; 13. X.
The spectrum of the corona of two graphs
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WebThe corona product of two graphs G and H is defined as the graph obtained by taking one copy of G and V(G) copies of H and joining the i-th vertex of G to every vertex in the i-th … WebThe derived graph of a simple graph G, denoted by [G] †, is the graph having the same vertex set as G, in which two vertices are adjacent if and only if their distance in G is two. The spectrum of derived graph of G is called the second-stage spectrum of G.In this paper, we will determine the second-stage spectrum (Laplace and signless Laplace spectrum) of …
WebLet G and H be two graphs. The join G ∨ H is the graph obtained by joining every vertex of G with every vertex of H. ... On Spectra Of Variants Of The Corona Of Two Graphs And Some … WebCorona viruses have caused two epidemics in the last two decades and now a severe pandemic that has already claimed hundreds of thousands of lives worldwide. As the pandemic is still ongoing, it is impossible to predict its extent. ... to understand the severity of disease progression and to identify broad spectrum agents. The scientists also ...
Webmatrices of the last two graphs in Figure 1 have the form LsH and LEH;~ with L having the form required by 2.4. Hence these two graphs are cospectral. In fact they are the smallest connected cospectral graphs (see [I]). As another example let L be the same matrix as in 2.3, with the same partitioning.
Webgraph,andthisisindependentofGandH beingatype-Iortype-IIgraph. 2 Corona Product LetGandHbetwographs. ThecoronaproductofGandH,denotedbyG H,was defined in the previous section. Several authors have developed diverse theoretical works on the corona product. Equitable colorings of the corona multiproducts of …
WebJan 15, 2024 · Mathematical methods such as the wavelet energy spectrum matrix similarity degree, polarity of maxima modulus, and morphological pattern spectrums were employed to extract the feature parameters of different lightning stroke faults. ... The whole line (LGJ–240) is protected by two shield wires (GJ–50). The corona model is composed of … clery\u0027s clockWebJan 1, 2007 · Definition 4 ( [37, 38]). (The corona of two graphs) Let G 1 and G 2 be two graphs on disjoint sets of n and k vertices, respectively. The corona G 1 • G 2 of G 1 and G … blu ray dvd writer softwareWebThe derived graph of a simple graph G, denoted by [G] †, is the graph having the same vertex set as G, in which two vertices are adjacent if and only if their distance in G is two. The … blu ray external usbWebSep 26, 2012 · Linear and Multilinear Algebra. Given simple graphs and , the neighbourhood corona of and , denoted , is the graph obtained by taking one copy of and copies of , and … clery\\u0027s back bayWeb23 Sasmita Barik, Bhaba K. Sarma, and Sukanta Pati, The spectrum of the corona of two graphs, SIAM Journal on Discrete Mathematics, 21(1):47-56, (2007). 24 Sasmita Barik, M. Neumann, and Sukanta Pati, On nonsingular trees and a reciprocal eigenvalue property, Linear and Multilinear Algebra, 54(6):453-465, (2006). bluray familyWebThe concept of corona of two graphs was introduced by R. Fruchut and F. Harary [3]. Here we also defined the generalized corona of hypergraphs. Vertex corona of two graphs can provide infinitely many pairs of non-isomorphic co-spectral graphs [6, 5, 10, 12]. We derive the same for two hypergraphs. bluray fancais forumWebJun 10, 2024 · In this paper we obtain the distance spectrum of the corona of a distance regular graph with a regular graph and that of the cluster of a connected distance regular … clery uconn