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Astral graphs (threshold graphs), scale-free graphs and related algorithmic questions

Vernitski, A and Pyatkin, A (2012) 'Astral graphs (threshold graphs), scale-free graphs and related algorithmic questions.' Journal of Discrete Algorithms, 12. 24 - 28. ISSN 1570-8667

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The astral index of a graph is defined as the smallest number of astral graphs (also known as threshold graphs) into which the graph can be decomposed, divided by the number of vertices in the graph. The astral index is a promising new graph measure for analysing the structure of graphs in applications. In this paper, we prove some theoretical results concerning astral graphs and the astral index. We reveal a connection between astral graphs and scale-free graphs. We prove that finding the exact value of the astral index is an NP-complete problem. © 2011 Elsevier B.V. All rights reserved.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Jim Jamieson
Date Deposited: 12 Feb 2013 17:05
Last Modified: 22 May 2019 10:15

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