Image:Dilworth-via-König.svg

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Dilworth-via-König.svg (SVG file, nominally 800 × 494 pixels, file size: 21 KB)

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Description

Proof of Dilworth's theorem via König's theorem. On far left is shown the Hasse diagram of a partial order, and center left a bipartite graph derived from that order. A maximum matching in that graph (center right) leads to a partition of the order into chains (far right).

Source

Originally from en.wikipedia; description page is/was here.

Date

2006-09-13 (original upload date); colorized and vectorized August 23, 2007.

Author

Original uploader was David Eppstein at en.wikipedia

Permission
(Reusing this image)

Released into the public domain (by the author).


[edit] License information

Public domain This image has been (or is hereby) released into the public domain by its author, David Eppstein at the wikipedia project. This applies worldwide.

In case this is not legally possible:
David Eppstein grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

[edit] Original upload log

(All user names refer to en.wikipedia)

  • 2006-09-13 16:02 David Eppstein 794×487×8 (20944 bytes) Proof of [[Dilworth's theorem]] via [[König's theorem (graph theory)]]. On far left is shown the [[Hasse diagram]] of a partial order, and center left a [[bipartite graph]] derived from that order. A maximum matching in that graph (center right) leads to

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeDimensionsUserComment
current06:27, 24 August 2007800×494 (21 KB)David Eppstein ({{Information |Description=Proof of Dilworth's theorem via König's theorem. On far left is shown the Hasse diagram of a partial order, and center left a [[:en:bipart)
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