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Title: | λ–Core distance partitions |
Authors: | Mifsud, Xandru |
Keywords: | Mathematics -- Charts, diagrams, etc. Eigenvalues Graph theory Algebras, Linear Matrices Mathematical physics |
Issue Date: | 2021 |
Publisher: | Elsevier Inc. |
Citation: | Mifsud, X. (2021). λ–Core distance partitions. Linear Algebra and its Applications, 613, 170-182. |
Abstract: | The λ–core vertices of a graph correspond to the non–zero entries of some eigenvector of λ for a universal adjacency matrix U of the graph. We define a partition of the vertex set V based on the λ–core vertex set and its neighbourhoods at a distance r, and give a number of results relating the structure of the graph to this partition. For such partitions, we also define an entropic measure for the information content of a graph, related to every distinct eigenvalue λ of U, and discuss its properties and potential applications |
URI: | https://www.um.edu.mt/library/oar/handle/123456789/102827 |
ISSN: | 0024-3795 |
Appears in Collections: | Scholarly Works - FacSciMat |
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λ–Core_distance_partitions(2021).pdf Restricted Access | 360.24 kB | Adobe PDF | View/Open Request a copy |
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