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Normalized distance Laplacian energy change due to edge deletion in complete graph and complete multipartite graph | ||
| Journal of Hyperstructures | ||
| دوره 15، شماره 1، شهریور 2026، صفحه 49-64 اصل مقاله (1.72 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.18132.1124 | ||
| نویسندگان | ||
| Indulal Gopal* 1؛ Jinu Mary2 | ||
| 1Mathematics, St Aloysious College, Edathua | ||
| 2SB College Chganganachery | ||
| چکیده | ||
| Let G be a connected graph with a distance matrix D. The eigenvalues of D forms the distance spectrum or D−spectrum of G. The transmission of a vertex v in G is the sum of the distances from v to all other vertices of G and T (G) is the diagonal matrix with transmission of the vertices as diagonal entries. The distance Laplacian matrix is defined as DL(G)=T(G)−D(G) and the normalized distance Laplacian matrix as DL(G)=T (G)−1/2DL(G)T (G)−1/2. The normalized-distance Laplacian energy is defined as DLE(G)=∑i=1n |ρiL−1|. Let DLE(G − e) be the normalized Laplacian energy of distance when an edge e is removed. In this paper we are studying the Normalized Distance Laplacian energy change due to an edge deletion. | ||
| کلیدواژهها | ||
| Normalized Laplacian Matrix؛ Normalized Laplacian spectrum؛ Distance Laplacian Matrix؛ Normalized Distance Laplacian matrix؛ Normalized Distance Laplacian spectrum؛ Normalized Distance Laplacian Energy؛ Edge deletion | ||
| مراجع | ||
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