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<TitlePage>
 <Title>
 Digraphs
 </Title>
 <Subtitle>
 Graphs, digraphs, and multidigraphs in &GAP;
 </Subtitle>
 <Version>
 1.13.1
 </Version>
 <Author>
 Jan De Beule<Alt Only="LaTeX"> </Alt>
<Address>
Vrije Universiteit Brussel, Vakgroep Wiskunde, Pleinlaan 2, B - 1050 Brussels, Belgium 
</Address>
<Email>jdebeule@cage.ugent.be</Email>
<Homepage>https://researchportal.vub.be/en/persons/jan-de-beule</Homepage>

 </Author>
 <Author>
 Julius Jonusas<Alt Only="LaTeX"> </Alt>
<Email>j.jonusas@gmail.com</Email>
<Homepage>http://julius.jonusas.work</Homepage>

 </Author>
 <Author>
 James Mitchell<Alt Only="LaTeX"> </Alt>
<Address>
Mathematical Institute, North Haugh, St Andrews, Fife, KY16 9SS, Scotland 
</Address>
<Email>jdm3@st-andrews.ac.uk</Email>
<Homepage>https://jdbm.me</Homepage>

 </Author>
 <Author>
 Wilf A. Wilson<Alt Only="LaTeX"> </Alt>
<Email>gap@wilf-wilson.net</Email>
<Homepage>https://wilf.me</Homepage>

 </Author>
 <Author>
 Michael Young<Alt Only="LaTeX"> </Alt>
<Address>
Jack Cole Building, North Haugh, St Andrews, Fife, KY16 9SX, Scotland 
</Address>
<Email>mct25@st-andrews.ac.uk</Email>
<Homepage>https://myoung.uk/work/</Homepage>

 </Author>
 <Author>
 Marina Anagnostopoulou-Merkouri<Alt Only="LaTeX"> </Alt>
<Address>
Mathematical Institute, North Haugh, St Andrews, Fife, KY16 9SS, Scotland 
</Address>
<Email>mam49@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Finn Buck<Alt Only="LaTeX"> </Alt>
<Address>
Mathematical Institute, North Haugh, St Andrews, Fife, KY16 9SS, Scotland 
</Address>
<Email>finneganlbuck@gmail.com</Email>

 </Author>
 <Author>
 Stuart Burrell<Alt Only="LaTeX"> </Alt>
<Email>stuartburrell1994@gmail.com</Email>
<Homepage>https://stuartburrell.github.io</Homepage>

 </Author>
 <Author>
 Graham Campbell<Alt Only="LaTeX"> </Alt>

 </Author>
 <Author>
 Raiyan Chowdhury<Alt Only="LaTeX"> </Alt>

 </Author>
 <Author>
 Reinis Cirpons<Alt Only="LaTeX"> </Alt>
<Address>
Mathematical Institute, North Haugh, St Andrews, Fife, KY16 9SS, Scotland 
</Address>
<Email>rc234@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Ashley Clayton<Alt Only="LaTeX"> </Alt>
<Address>
Mathematical Institute, North Haugh, St Andrews, Fife, KY16 9SS, Scotland 
</Address>
<Email>ac323@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Tom Conti-Leslie<Alt Only="LaTeX"> </Alt>
<Email>tom.contileslie@gmail.com</Email>
<Homepage>https://tomcontileslie.com</Homepage>

 </Author>
 <Author>
 Joseph Edwards<Alt Only="LaTeX"> </Alt>
<Address>
Mathematical Institute, North Haugh, St Andrews, Fife, KY16 9SS, Scotland 
</Address>
<Email>jde1@st-andrews.ac.uk</Email>
<Homepage>https://github.com/Joseph-Edwards</Homepage>

 </Author>
 <Author>
 Luna Elliott<Alt Only="LaTeX"> </Alt>
<Email>luna.elliott142857@gmail.com</Email>
<Homepage>https://research.manchester.ac.uk/en/persons/luna-elliott</Homepage>

 </Author>
 <Author>
 Jan Engelhardt<Alt Only="LaTeX"> </Alt>
<Email>jengelh@inai.de</Email>
<Homepage>https://inai.de</Homepage>

 </Author>
 <Author>
 Isuru Fernando<Alt Only="LaTeX"> </Alt>
<Email>isuruf@gmail.com</Email>

 </Author>
 <Author>
 Ewan Gilligan<Alt Only="LaTeX"> </Alt>
<Email>eg207@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Gillis Frankie<Alt Only="LaTeX"> </Alt>
<Email>fotg1@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Sebastian Gutsche<Alt Only="LaTeX"> </Alt>
<Email>gutsche@momo.math.rwth-aachen.de</Email>

 </Author>
 <Author>
 Samantha Harper<Alt Only="LaTeX"> </Alt>
<Email>seh25@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Max Horn<Alt Only="LaTeX"> </Alt>
<Address>
Fachbereich Mathematik, RPTU Kaiserslautern-Landau, Gottlieb-Daimler-Straße 48, 67663 Kaiserslautern, Germany 
</Address>
<Email>mhorn@rptu.de</Email>
<Homepage>https://www.quendi.de/math</Homepage>

 </Author>
 <Author>
 Harry Jack<Alt Only="LaTeX"> </Alt>
<Email>hrj4@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Christopher Jefferson<Alt Only="LaTeX"> </Alt>
<Address>
Jack Cole Building, North Haugh, St Andrews, Fife, KY16 9SX, Scotland 
</Address>
<Email>caj21@st-andrews.ac.uk</Email>
<Homepage>https://heather.cafe/</Homepage>

 </Author>
 <Author>
 Malachi Johns<Alt Only="LaTeX"> </Alt>
<Email>zlj1@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Olexandr Konovalov<Alt Only="LaTeX"> </Alt>
<Address>
Jack Cole Building, North Haugh, St Andrews, Fife, KY16 9SX, Scotland 
</Address>
<Email>obk1@st-andrews.ac.uk</Email>
<Homepage>https://olexandr-konovalov.github.io/</Homepage>

 </Author>
 <Author>
 Hyeokjun Kwon<Alt Only="LaTeX"> </Alt>
<Email>hk78@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Aidan Lau<Alt Only="LaTeX"> </Alt>

 </Author>
 <Author>
 Andrea Lee<Alt Only="LaTeX"> </Alt>
<Email>ahwl1@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Saffron McIver<Alt Only="LaTeX"> </Alt>
<Email>sm544@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Seyyed Ali Mohammadiyeh<Alt Only="LaTeX"> </Alt>
<Email>MaxBaseCode@Gmail.Com</Email>

 </Author>
 <Author>
 Michael Orlitzky<Alt Only="LaTeX"> </Alt>
<Email>michael@orlitzky.com</Email>
<Homepage>https://michael.orlitzky.com/</Homepage>

 </Author>
 <Author>
 Matthew Pancer<Alt Only="LaTeX"> </Alt>
<Email>mp322@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Markus Pfeiffer<Alt Only="LaTeX"> </Alt>
<Email>markus.pfeiffer@morphism.de</Email>
<Homepage>https://markusp.morphism.de/</Homepage>

 </Author>
 <Author>
 Daniel Pointon<Alt Only="LaTeX"> </Alt>
<Email>dp211@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Pramoth Ragavan<Alt Only="LaTeX"> </Alt>
<Email>107881923+pramothragavan@users.noreply.github.com</Email>

 </Author>
 <Author>
 Lea Racine<Alt Only="LaTeX"> </Alt>
<Address>
Jack Cole Building, North Haugh, St Andrews, Fife, KY16 9SX, Scotland 
</Address>
<Email>lr217@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Christopher Russell<Alt Only="LaTeX"> </Alt>

 </Author>
 <Author>
 Artur Schaefer<Alt Only="LaTeX"> </Alt>
<Email>as305@st-and.ac.uk</Email>

 </Author>
 <Author>
 Isabella Scott<Alt Only="LaTeX"> </Alt>
<Email>iscott@uchicago.edu</Email>

 </Author>
 <Author>
 Kamran Sharma<Alt Only="LaTeX"> </Alt>
<Address>
Jack Cole Building, North Haugh, St Andrews, Fife, KY16 9SX, Scotland 
</Address>
<Email>kks4@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Finn Smith<Alt Only="LaTeX"> </Alt>
<Address>
Mathematical Institute, North Haugh, St Andrews, Fife, KY16 9SS, Scotland 
</Address>
<Email>fls3@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Ben Spiers<Alt Only="LaTeX"> </Alt>
<Email>bspiers972@outlook.com</Email>

 </Author>
 <Author>
 Maria Tsalakou<Alt Only="LaTeX"> </Alt>
<Address>
Mathematical Institute, North Haugh, St Andrews, Fife, KY16 9SS, Scotland 
</Address>
<Email>mt200@st-andrews.ac.uk</Email>
<Homepage>https://mariatsalakou.github.io/</Homepage>

 </Author>
 <Author>
 Agastyaa Vishvanath<Alt Only="LaTeX"> </Alt>
<Email>av215@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Meike Weiss<Alt Only="LaTeX"> </Alt>
<Address>
Chair of Algebra and Representation Theory, Pontdriesch 10-16, 52062 Aachen 
</Address>
<Email>weiss@art.rwth-aachen.de</Email>
<Homepage>https://bit.ly/4e6pUeP</Homepage>

 </Author>
 <Author>
 Murray Whyte<Alt Only="LaTeX"> </Alt>
<Address>
Mathematical Institute, North Haugh, St Andrews, Fife, KY16 9SS, Scotland 
</Address>
<Email>mw231@st-andrews.ac.uk</Email>

 </Author>
 <Author>
 Fabian Zickgraf<Alt Only="LaTeX"> </Alt>
<Email>f.zickgraf@dashdos.com</Email>

 </Author>
 <Date>
 27 September 2025
 </Date>
 <Abstract>
 The &Digraphs; package is a &GAP; package containing
 methods for graphs, digraphs, and multidigraphs.
 </Abstract>
 <Copyright>
 Jan De Beule, Julius Jonušas, James D. Mitchell,
 Wilf A. Wilson, Michael Young et al.

 &Digraphs; is free software; you can redistribute it and/or modify
 it under the terms of the <URL Text="GNU General Public License">
 https://www.fsf.org/licenses/gpl.html</URL> as published by the
 Free Software Foundation; either version 3 of the License, or (at
 your option) any later version.
 </Copyright>
 <Acknowledgements>
 We would like to thank Christopher Jefferson for his help in including
 &BLISS; in &Digraphs;.

 We also gratefully acknowledge the encouragement and assistance of
 Leonard Soicher, and the inspiration of his &GRAPE; package, at many
 points throughout the development of &Digraphs;.

 This package's methods for computing digraph homomorphisms are based
 on work by Max Neunhöffer, and independently Artur Schäfer.

 </Acknowledgements>
 </TitlePage>

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