Talk:Graph factorization

This is a stub

This article is a stub. Please add history, uses, importance, etc...--Cronholm144 22:45, 12 May 2007 (UTC)

Looking for a possible interlang for this page-

to someone who reads German better than I, does de:Einfacher Graph cover the same material? Schissel | Sound the Note! 14:22, 17 February 2008 (UTC)

That article is describing simple undirected graphs. The main article on matching is de:Paarung (Graphentheorie), which defines k-Faktor. There is also a dab page de:k-Faktor. Michael Slone (talk) 16:11, 17 February 2008 (UTC)

2-factorizations - repeated results?

What's the second paragraph trying to say? It talks about a graph being "k-factored" but then chooses each of the two factors. If this is talking about 2-factorizations, it's just repeating the results of the first paragraph (and adding the extra "connected" condition which is not relevant). If it is talking about k-factorizations then I believe it's in the wrong section.

William Pettersson (talk) 02:36, 12 September 2013 (UTC)

1-factorization

If a graph is 1-factorable, then it has to be a regular graph. -- This is just wrong; see the example pictures in the Matching article.DerPhimor (talk) 13:24, 10 September 2015 (UTC)

No. I believe you're confusing the existence of a 1-factor with the existence of a 1-factorization. A 1-factor is just a perfect matching and for that to exist, indeed, the graph need not be regular. But a 1-factorization is a partition of the whole graph into perfect matchings, so all vertices need to have the same degree (equal to the number of perfect matchings), or else there would be extra left over edges at some vertices. —David Eppstein (talk) 16:10, 10 September 2015 (UTC)

External links modified

Hello fellow Wikipedians,

I have just modified one external link on Graph factorization. Please take a moment to review my edit. If you have any questions, or need the bot to ignore the links, or the page altogether, please visit this simple FaQ for additional information. I made the following changes:

• Added archive https://web.archive.org/web/20120616164929/http://www.math.jussieu.fr/~jabondy/books/gtwa/gtwa.html to http://www.math.jussieu.fr/~jabondy/books/gtwa/gtwa.html

When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.

This message was posted before February 2018. After February 2018, "External links modified" talk page sections are no longer generated or monitored by InternetArchiveBot. No special action is required regarding these talk page notices, other than regular verification using the archive tool instructions below. Editors have permission to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the RfC before doing mass systematic removals. This message is updated dynamically through the template {{source check}} (last update: 18 January 2022).

• If you have discovered URLs which were erroneously considered dead by the bot, you can report them with this tool.
• If you found an error with any archives or the URLs themselves, you can fix them with this tool.

Cheers.—InternetArchiveBot (Report bug) 17:03, 22 October 2017 (UTC)