Difference between revisions of "MCSN Thursday, 15-Sep-11"

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* More on your brainstorms
 
* More on your brainstorms
* Homework exercise from Tuesday
+
* Homework exercise from Tuesday - review
 
* How to create networks, partitions, and vectors in Pajek
 
* How to create networks, partitions, and vectors in Pajek
** Manipulating networks in Pajek
+
** Manipulating networks in Pajek itself
 
** Editing Pajek files in a text processor
 
** Editing Pajek files in a text processor
 +
*** Edge and arc list formats
 +
*** Matrix format
 
** Using [http://pajek.imfm.si/doku.php?id=faq:text2pajek txt2pajek]
 
** Using [http://pajek.imfm.si/doku.php?id=faq:text2pajek txt2pajek]
 
* More combinatorics...
 
* More combinatorics...
** Complete simple graphs on n vertices
+
** How many lines does a complete simple graph on n vertices contain?
 
*** Undirected graphs
 
*** Undirected graphs
 
*** Directed graphs
 
*** Directed graphs
** All undirected simple graphs on n vertices
+
** How many different undirected simple graphs are there on n vertices?
*** [http://mapleta.maths.uwa.edu.au/~gordon/remote/graphs/index.html#nums numbers]
+
*** Here, "different" means "non-isomorphic".
*** [http://gfredericks.com/sandbox/graphs/browse pictures]
+
**** A square and a trapazoid and a twisted square are all isomorphic
 +
**** Energizing graphs in Pajek always generates an isomorphic equivalent
 +
*** Counting:
 +
**** [http://mapleta.maths.uwa.edu.au/~gordon/remote/graphs/index.html#nums numbers]
 +
**** [http://gfredericks.com/sandbox/graphs/browse pictures]

Revision as of 22:59, 14 September 2011

  • More on your brainstorms
  • Homework exercise from Tuesday - review
  • How to create networks, partitions, and vectors in Pajek
    • Manipulating networks in Pajek itself
    • Editing Pajek files in a text processor
      • Edge and arc list formats
      • Matrix format
    • Using txt2pajek
  • More combinatorics...
    • How many lines does a complete simple graph on n vertices contain?
      • Undirected graphs
      • Directed graphs
    • How many different undirected simple graphs are there on n vertices?
      • Here, "different" means "non-isomorphic".
        • A square and a trapazoid and a twisted square are all isomorphic
        • Energizing graphs in Pajek always generates an isomorphic equivalent
      • Counting: