Talk:Eulerian path

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Does anyone know who made Fleury's algorithm?24.123.191.50 15:58, 16 November 2006 (UTC)

someone hook up the pronounciationAshwinr 14:31, 9 August 2006 (UTC)

Unicursal redirects to here. There should be an explanation of how unicursality (?) relates to an Eulerian path so that the link doesn't seem confusing. moink 14:54, 11 Apr 2004 (UTC)

Contents

[edit] Error in article

From Discrete Mathematics, 4th Ed., by Dossey, Otto, Spence, and Vanden Eynden: Thm 3.5: "Suppose a multigraph G is connected. Then G has an Euler circuit iff every vertex has even degree. Furthermore, G has an Euler path iff every vertex has even degree except for two distinct vertices, which have odd degree. When this is the case, the Euler path starts at one and ends at the other of these two vertices of odd degree." Is this contradicting the article? I can't tell, and I don't want to edit it, being a mere CS major and not an expert in mathematics. --Aciel 02:05, 7 May 2005 (UTC)

I do not see how this is contradicting the article. Can you give a more detailed explanation what you refer to ? MathMartin 17:08, 7 May 2005 (UTC)
I also don't understand what point is being made, but I'll note that the quoted theorem from Dossey et al is wrong. To have an Euler path, one needs at most two vertices of odd degree, not exactly two. --Zero 03:46, 8 May 2005 (UTC)


[edit] Edge Disjunct?

The article makes a reference to edge disjunct cycle graphs, but neither this article, nor the cycle graphs one that it links to, define edge disjunct. Eythian 05:52, August 11, 2005 (UTC)

[edit] Missing def

"diconnected" is linked to the glossary but not in the glossary. I assume it means something along the lines of "strongly connected". Deco 05:56, 30 August 2005 (UTC)

I'll change it to just "connected", since any type of connectivity implies strong connectivity when the in-degree and out-degree are equal at every vertex. (Proof: if the digraph is connected but not strongly connected, there is a strong component that has edges coming in but no edges coming out. Now count the heads and tails of edges inside that strong component to find a contradiction.) --Zero 11:14, 30 August 2005 (UTC)

[edit] Pentagram

Is a pentagram a unicursal star? --South Philly 03:39, 11 July 2006 (UTC)

[edit] image?

Why is an uneulerian path the only picture here?--Josh Rocchio 01:15, 29 September 2006 (UTC)