The spectrum of the corona of two graphs

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August undefined, 2024

WebJun 18, 2024 · Most read articles by the same author(s) Yaoping Hou, Wai-Chee Shiu, The spectrum of the edge corona of two graphs , The Electronic Journal of Linear Algebra: Vol. 20 (2010) Yaoping Hou, Dijian Wang, Laplacian integral subcubic signed graphs , The Electronic Journal of Linear Algebra: Vol. 37 (2024) WebView of The spectrum of the edge corona of two graphs. The spectrum of the edge corona of two graphs. of 9.

Spectra of the neighbourhood corona of two graphs

WebJan 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 … 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. numb toes after hiking

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Web23 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). 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 … WebJun 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 … numb toes after back surgery

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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. 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 … numb toe from shoes nishat ali general trading llc

"Web[13] of two graphs, which is a variant of the corona operation, were completely computed in [5,13,19]. Another variant of the corona operation, the neighbourhood corona, was introduced in [10] recently. In [10], the A-spectrum of the neighbourhood corona of an arbitrary graph and a regular graph was given in terms of that of the two factor graphs. " - The spectrum of the corona of two graphs

The spectrum of the corona of two graphs

(PDF) The spectrum of the edge corona of two graphs (2010)

WebNov 1, 2015 · The D-spectrum of the cartesian product of two distance regular graphs G and H when H is regular is obtained and the D-eigenvalues of the Hamming graphs Ham (d, n) … WebAbstract. Given two graphs G 1, with vertices 1, 2,., n and edges e 1, e 2 ,..., e m, and G 2, the edge corona G 1 {lozenge, open} G 2 of G 1 and G 2 is defined as the graph obtained by …

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WebFeb 26, 2024 · A (signed) graph is called Laplacian integral if all eigenvalues of its Laplacian matrix are integers. In this paper, we determine all connected Laplacian integral signed graphs of maximum degree 3; among these signed graphs,there are two classes of Laplacian integral signed graphs, one contains 4 infinite families of signed graphs and … WebThe 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 …

WebWecompute their adjacency spectrum, Laplacian spectrum and signlessLaplacian spectrum. As applications, we give methods to constructinfinite families of integral graphs, … 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 …

WebDec 31, 2009 · Abstract: Let G 1 , G 2 be two simple connected graphs. Denote the corona and the edge corona of G 1 , G 2 by G 1 ∘ G 2 and G 1 ♢ G 2 , respectively. In this paper, we … WebTotal coloring of the corona product of two graphs S. Mohan J. Geetha K. Somasundaram Department of Mathematics, Amrita School of Engineering-Coimbatore Amrita Vishwa …

WebThe 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.

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 … numb tips of fingersWebAKCE International Journal of Graphs and Combinatorics (Nov 2015) . The distance spectrum of corona and cluster of two graphs numb tip of thumb on left handWebThe 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 … numb tip of tongueWebThe corona of two graphs is deﬁned in [4] and there have been some results on the corona of two graphs [3]. The complete information about the spectrum of the corona of two graphs G,H in terms of the spectrum of G,H are given in [1]. In this ∗ Received by the editors September 11, 2009. Accepted for publication August 22, 2010. Han- nisha swamy edmonton albertaWebSep 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 … nishatabad postal codeWebLet 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 … nishata logisticsWebEnter the email address you signed up with and we'll email you a reset link. nisha tamil comedian latest