Difference between revisions of "MCSN Tuesday, 13-Sep-11"

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(Graph theory (Wilson ch. 1))
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= Graph theory (Wilson ch. 1) =
 
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[[Media:RWch1.pdf]]
  
 
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Revision as of 09:24, 13 September 2011

Today's assignment

Social structure. Read Preface, p. 1, and sections 1.1 to 1.3.2. Graph theory exercise due (distributed by email) - submit answers via the Moodle (see above for instructions regarding network diagrams). Brainstorm some MCSN examples with research questions.

Question of the day

  • How does a new musical trend (song, artist, style, genre) spread? (diffusion phenomenon)
  • What sorts of questions (naive) might we like to answer about such a phenomenon?
  • How could musical diffusion be modelled with SNA?
  • What sorts of research methods could be applied?

Review

Technical details

  • Any questions on using the Moodle?
  • Any problems with Pajek? Issues with Wine?
  • Were you able to obtain and open the Pajek datasets?

Graph theory (Wilson ch. 1)

Media:RWch1.pdf

  • vertex
  • edge,arc
  • degree
  • graph, digraph
  • multiple edges, loops
  • simple graph
  • walk (alternating sequence of connected vertices and lines)
  • path (alternating sequence of connected vertices and lines, such that the vertices don't repeat)
  • Eulerian graph (contains a walk containing every edge once, and returning to starting point)
  • Hamiltonian graph (contains a walk containing every vertex once, and returning to starting point)
  • connected and disconnected graphs
  • tree (only one path between each pair of vertices)
  • planar graph
  • counting graphs
    • isomorphic graphs, and difference
    • how many different simple graphs can you create with a fixed number of vertices? (1,2,3,4)
  • Wilson ch.1 questions

ESNAP reading

  • Sections 1.1 to 1.3.2.

Applications of SNA to music culture