Growth of graph powers
Pokrovskiy, Alexey (2011) Growth of graph powers. The Electronic Journal of Combinatorics 18 (1), p. 88. ISSN 1077-8926.
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Official URL: https://www.combinatorics.org/ojs/index.php/eljc/a...
Abstract
For a graph G, its rth power is constructed by placing an edge between two vertices if they are within distance r of each other. In this note we study the amount of edges added to a graph by taking its rth power. In particular we obtain that either the rth power is complete or "many" new edges are added. This is an extension of a result obtained by P. Hegarty for cubes of graphs.
Metadata
| Item Type: | Article |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Business and Law > Birkbeck Business School |
| Depositing User: | Alexey Pokrovskiy |
| Date Deposited: | 21 Jan 2019 15:49 |
| Last Modified: | 02 Aug 2023 17:47 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/25902 |
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- Growth of graph powers. (deposited 21 Jan 2019 15:49) [Currently Displayed]
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