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What graphs are 2-dot product graphs?

Johnson, M. and van Leeuwen, E.J. and Paulusma, D. (2015) 'What graphs are 2-dot product graphs?', Electronic notes in discrete mathematics., 49 . pp. 705-711.

Abstract

From a set of d-dimensional vectors for some integer d ≥ 1, we obtain a d-dot product graph by letting each vector au correspond to a vertex u and by adding an edge between two vertices u and v if and only if their dot product au · av ≥ t, for some fixed, positive threshold t. Dot product graphs can be used to model social networks. To understand the position of d-dot product graphs in the landscape of graph classes, we consider the case d = 2, and investigate how 2-dot product graphs relate to a number of other known graph classes.

Item Type:Article
Keywords:Dot product graphs, Social networks, Graph classes.
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1016/j.endm.2015.06.095
Publisher statement:© 2015 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Date accepted:No date available
Date deposited:21 August 2015
Date of first online publication:November 2015
Date first made open access:12 November 2016

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