The spectrum of the edge corona of two graphs
WebAbstract In this paper, we introduce a graph operation on G 1, G 2 and G 3 and the result graph is denoted by G 1 S circ(G_2^Vcup G_3^E). Subsequently, the adjacency spectra and the Laplacian spectra of G 1 Scirc(G_2^Vcup G_3^E) are determined whenever G_1 is regular. As applications, we construct infinitely many pairs of A-cospectral graphs and L … WebFeb 26, 2024 · Yaoping Hou, Wai-Chee Shiu, The spectrum of the edge corona of two graphs , The Electronic Journal of Linear Algebra: Vol. 20 (2010) Xiaoling Shen, Yaoping Hou, A class of unicyclic graphs determined by their Laplacian spectrum , The Electronic Journal of Linear Algebra: Vol. 23 (2012)
The spectrum of the edge corona of two graphs
Did you know?
Webspectra) of the corona of any two graphs can be expressed by that of the two factor graphs [1,5,18,19]. Similarly, the A-spectra (respectively, L-spectra, Q-spectra) of the edge corona … 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 …
WebSep 1, 2010 · The binary operation considered here is the edge corona of two graphs. The edge corona, a variation of the corona product, was introduced in 2010 by Hou and Shiu … WebJan 13, 2016 · Corona of two graphs has been defined in [F. Harary, Graph Theory (Addison-Wesley, 1969)]. In this paper, we study the distance and the distance Laplacian spectra of …
WebWe give complete information about the signless Laplacian spectrum of the corona of a graph G 1 and a regular graph G 2, and complete information about the signless Laplacian spectrum of the edge corona of a connected regular graph G 1 and a regular graph G 2. WebWe consider only simple graphs. Given two graphs G with vertices $1,\ldots,n$ and H, the corona $G\circ H$ is defined as the graph obtained by taking n copies of H and for each i …
WebGiven 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 G2 and for …
WebHou and W.-C. Shiu, The spectrum of the edge corona of two graphs, Electron J. Linear Algebra 20(1) (2010) 586–594. ... Wang and B. Shou, The signless Laplacian spectra of the corona and edge corona of two graphs, Linear Multilinear Algebra 61(2) (2013) 197–204. arab bank jordan interest ratesWebJan 4, 2024 · Hou and W.-C. Shiu, The spectrum of the edge corona of two graphs, Electron. J. ... Spectra of the generalized edge corona of graphs, Discrete Math. Algorithm. Appl. 1 (2024) 1–10. Google Scholar; 10. S. Mohan, J. Geetha and K. Somasundaram, Total coloring of the corona product of two graphs, Australas. J. bait boys jordan mtWebAbstract. 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 … bait bonesWebApr 12, 2024 · HOOD: Hierarchical Graphs for Generalized Modelling of Clothing Dynamics Artur Grigorev · Bernhard Thomaszewski · Michael Black · Otmar Hilliges Structured 3D Features for Reconstructing Controllable Avatars Enric Corona · Mihai Zanfir · Thiemo Alldieck · Eduard Bazavan · Andrei Zanfir · Cristian Sminchisescu arab bank jordan brancheshttp://www.oaj.pku.edu.cn/sxjz/EN/10.11845/sxjz.2014083b arab bank jordan market capWebGiven 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 G2 … bait box kmartWebSpectral graph theory. In mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors of matrices associated with the graph, such as its adjacency matrix or Laplacian matrix . The adjacency matrix of a simple undirected graph is a real symmetric ... arab bank iq test