lectures.alex.balgavy.eu

Lecture notes from university.
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Drawing graphs.md (612B)


      1 +++
      2 title = 'Drawing graphs'
      3 +++
      4 # Drawing graphs
      5 Embeddings:
      6 
      7 - circular embedding — vertices are spaced evenly around a circle
      8 - ranked embedding — choose an arbitrary vertex u, rank other vertices by distance from u, put vertices on separate lines based on ranking
      9 
     10 Planar graphs: graphs where no edges cross
     11 
     12 - interior region: empty space enclosed by a cycle
     13 - exterior region: empty space not enclosed by a cycle
     14 - Euler’s formula for planar graphs:
     15     - n-m+r=2
     16     - n vertices, m edges, r regions
     17 - condition for planar graph: m ≤ 3v-6
     18 - every planar graph has a vertex *v, *with δ(*v*) ≤ 5