We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham Research Online
You are in:

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.


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.
Download PDF
Publisher Web site:
Publisher statement:© 2015 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
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

Save or Share this output

Look up in GoogleScholar