@MISC{GLIB_007.MIZ,
  AUTHOR = {Koch, Sebastian},
  NOTE1 = {The author is enrolled in the Johannes Gutenberg University in Mayence, Germany},
  TITLE = {About Supergraphs, Part {II}},
  SECTION1 = {Reversing Edge Directions},
  SECTION2 = {Adding a Vertex and several Edges to a Graph},
  DAY = {29},
  MONTH = {June},
  YEAR = {2018},
  ADDRESS1 = {Germany\\\href{mailto:skoch02@students.uni-mainz.de}{skoch02@students.uni-mainz.de}},
  SUMMARY = {In the previous article \cite{GLIB_006.ABS} supergraphs and several specializations
  to formalize the process of drawing graphs were introduced. In this paper another
  such operation is formalized: Drawing a vertex and then immediately drawing edges
  connecting this vertex with a subset of the other vertices of the graph. In case the
  new vertex is joined with all vertices of a given graph $G$, this is known as the
  join of $G$ and the trivial loopless graph $K_1$. While the join of two graphs is
  known and found in standard literature (like \cite{SIMPLE}, \cite{MULTI}
  and \cite{SELECTED}), the operation discribed in this article is not.\par
  Alongside the new operation a mode to reverse the directions of a subset of
  the edges of a graph is introduced. When all edge directions of a graph are
  reversed, this is commonly known as the converse of a (directed) graph.
  }
}
@book{SIMPLE,
  TITLE = {Introduction to graph theory},
  AUTHOR = {Wilson, Robin James},
  ADDRESS = {Edinburgh},
  PUBLISHER = {Oliver & Boyd},
  YEAR = {1972},
  ISBN = {0-05-002534-1},
  PAGES = {VIII, 168 S.},
  URL = {http://scans.hebis.de/HEBCGI/show.pl?10670775_toc.pdf},
}
@book{MULTI,
  TITLE = {Graph theory},
  SERIES = {Graduate texts in mathematics ; 244},
  AUTHOR = {Bondy, John Adrian ; Murty, U. S. R.},
  ADDRESS = {New York, NY},
  PUBLISHER = {Springer},
  YEAR = {2008},
  ISBN = {978-1-84628-969-9},
  PAGES = {XII, 652 S.},
  URL = {http://scans.hebis.de/HEBCGI/show.pl?19542627_toc.pdf ; http://scans.hebis.de/HEBCGI/show.pl?19542627_kap-2.pdf ; http://scans.hebis.de/HEBCGI/show.pl?19542627_ein-1.pdf},
}
@book{SELECTED,
  TITLE = {Selected topics in graph theory},
  EDITOR = {Beineke, Lowell W.},
  ADDRESS = {London [et al.]},
  PUBLISHER = {Academic Press},
  YEAR = {1978},
  ISBN = {0-12-086250-6},
  pages = {IX, 451 S.},
}
