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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"><Br/></Alt>
<Address>
Vrije Universiteit Brussel,  Vakgroep Wiskunde,  Pleinlaan 2,  B - 1050 Brussels,  Belgium<Br/>
</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"><Br/></Alt>
<Email>j.jonusas@gmail.com</Email>
<Homepage>http://julius.jonusas.work</Homepage>

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

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

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

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

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

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

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

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

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

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

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

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

  </Author>
  <Author>
    Luna Elliott<Alt Only="LaTeX"><Br/></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"><Br/></Alt>
<Email>jengelh@inai.de</Email>
<Homepage>https://inai.de</Homepage>

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  </Author>
  <Author>
    Fabian Zickgraf<Alt Only="LaTeX"><Br/></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.<P/>

          &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>