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EulerianCycle in graphs

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  • Subject: [mg54276] EulerianCycle in graphs
  • From: Steve Gray <stevebg at>
  • Date: Wed, 16 Feb 2005 14:35:56 -0500 (EST)
  • Sender: owner-wri-mathgroup at

   If I do Length[EulerianCycle[CompleteGraph[24,24]]], I get the correct answer (577) in about 1-2
seconds, and ShowGraph[CompleteGraph[24,24],EdgeStyle?Thin] also works, so everything looks ok.
   But I have a graph "comgraph" with 40 vertices and 66 edges. All vertices are of even order,
either 2 or 4. However the function EulerianCycle[comgraph] never terminates, even after an hour. 

   Are there restrictions on graphs that make EulerianCycle work properly? Or could something else
be wrong? I can supply details of comgraph if it would help. 

   This is seriously holding me up. Thank you for any help.

Steve Gray

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