wiki_research

personal research wiki
git clone https://a3nm.net/git/wiki_research/
Log | Files | Refs

veblens_theorem (433B)


      1 # Veblen's theorem
      2 
      3 https://en.wikipedia.org/wiki/Veblen%27s_theorem
      4 
      5 An [undirected_graph] admits a partition of its edges into [cycles] if and only if every [vertex] has even [degree] (this implies in particular that the graph is [bridgeless])
      6 
      7 For [directed_graphs], cf https://math.stackexchange.com/questions/348852/veblens-theorem-for-digraphs
      8 
      9 See also: [eulerian_circuit], [cycle_double_cover]
     10 
     11 Up: [theorem], [graph_theory]