WebA signed graph Γ is said to be determined by its spectrum if every signed graph with the same spectrum as Γ is switching isomorphic with Γ. Here it is proved that the path Pn, … WebHere, switching isomorphic signed graphs are considered to be the same signed graph. Signed graphs introduced as early as 1953 by Harary [10], to model social relations involving disliking, indi erence, and liking [9]. Indeed signed graphs have been used frequently to model a ect ties for social actors. A tra c control problem at an ...
Laplacian spectral determination of path-friendship graphs
WebAbstract. A graph G is said to be determined by the spectrum of its Laplacian matrix (DLS) if every graph with the same spectrum is isomorphic to G.In some recent papers it is proved that the friendship graphs and starlike trees are DLS. If a friendship graph and a starlike tree are joined by merging their vertices of degree greater than two, then the resulting graph is … WebOn cospectral signed digraphs. M. A. Bhat, T. A. Naikoo, and S. Pirzada Communicated by D. Simson A b s t r ac t . The set of distinct eigenvalues of a signed di-graph S together with their respective multiplicities is called its spectrum. Two signed digraphs of same order are said to be cospec-tral if they have the same spectrum. cuddledown vs the company store
Spectra of Signed Graphs SpringerLink
WebSigned graphs of small order . Every edge of a signed graph is accompained by the sign + or -. Signed graphs may be encountered in domains of social psychology, physics, chemistry, control theory, social or other complex networks, etc. Simple (i.e., 'unsigned') graphs are recognized as particular cases of signed graphs with all edges being of the same sign; … Webphic signed graphs have the common spectrum. We say that signed graphs are cospectral if they are not switching isomorphic, but have the same spectrum. Moreover, in this study switching isomorphic signed graphs are mutually identified. The adjacency matrix A G_ determines the negation of G_, usually denoted by G_. A (not necessarily induced ... Weban edge in E(G) and no vertex is repeated. A graph is connected if for every pair of vertices u,v there exists a u,v-path. The length of a path is one less than the number of vertices (i.e., is the number of edges), and the distance between two vertices d(u,v) is the length of the shortest u,v-path. A graph must be connected easter gifts to send