This is the manual for the &AGT; package version &VERSION;, developed at
Queen Mary University of London by Rhys J. Evans.
<P/>
The &AGT; package contains a methods used for the determination of various
algebraic and regularity properties of graphs, as well as certain substructures
of graphs. The package also contains a library of strongly regular graphs,
intended to be a useful resource for computational experiments.
<P/>
All of the functions in this package deal with finite simple graphs in
&Grape; format <Cite Key="GRAPE_2018"/>. Behind the scenes, we also use the
<Package>Digraphs</Package> package <Cite Key="DIGRAPHS_2019"/> to format and efficiently
store and access the graphs in the strongly regular graph library.
To install the &AGT; package, you will need to download the most recent
<C>tar.gz</C> file, found at &PKGWWWHOME;. Once downloaded, you can install the
package by following the instructions found in the &GAP; reference manual,
<URL Text="chapter 76">https://docs.gap-system.org/doc/ref/chap76.html</URL>.
<P/>
The &AGT; package requires the following &GAP; packages:
<List>
<Item><Package>GAPDoc</Package> <Cite Key="GAPDOC_2019"/>, version 1.6 or higher;</Item>
<Item><Package>DESIGN</Package> <Cite Key="DESIGN_2019"/>, version 1.7 or higher;</Item>
<Item><Package>GRAPE</Package> <Cite Key="GRAPE_2018"/>, version 4.8 or higher;</Item>
<Item><Package>Digraphs</Package> <Cite Key="DIGRAPHS_2019"/>, version 0.12.2 or higher.</Item>
</List>
Each of the above packages are part of the standard &GAP; distribution.
Once correctly installed, you can load the &AGT; package at the &GAP; prompt by
typing the following.
<Example>
gap> LoadPackage("agt");
true
</Example>
</Section>
If you use the &AGT; package in your research, please tell us about it by
emailing <Email>r.evans@qmul.ac.uk</Email>. We are interested in any research
involving the use of the &AGT; package and might refer to your work in the future.
If you wish to refer to the &AGT; package in a published work, please cite
&AGT; like a journal article. The following is a BibTeX entry for the
current &AGT; version:
<Listing Type="bibtex">
@Manual{agt,
author = {Evans, Rhys J.},
key = {agt},
title = {{AGT -- Algebraic Graph Theory package for GAP, Version &VERSION;}}, url = {\verb+(&PKGWWWHOME;)+},
year = {2020}
</Listing>
</Section>
<Section>
<Heading>Examples of the use of &AGT;</Heading>
We will give a simple example of how to use the &AGT; package here. Further applications
of the package can be found in <Cite Key="E_2020"/>.
In this example, we will examine the properties and subgraphs of the strongly
regular graphs with parameters <M>(16,6,2,2)</M>.
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