https://drorbn.net/index.php?action=history&feed=atom&title=Notes_for_AKT-090910-1%2F0%3A29%3A24Notes for AKT-090910-1/0:29:24 - Revision history2026-05-08T11:18:52ZRevision history for this page on the wikiMediaWiki 1.39.6https://drorbn.net/index.php?title=Notes_for_AKT-090910-1/0:29:24&diff=7859&oldid=prevLzhang at 21:25, 22 September 20092009-09-22T21:25:53Z<p></p>
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<td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><b>Local rule</b>: at each crossing, of the 3 arcs involved, either 1 or all 3 colours appear.<br></div></td>
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</table>Lzhanghttps://drorbn.net/index.php?title=Notes_for_AKT-090910-1/0:29:24&diff=7857&oldid=prevLzhang: video annotation2009-09-22T20:43:23Z<p>video annotation</p>
<p><b>New page</b></p><div>Invariance of tricolourability under R2. For each of the 2 directions (as in the proof for R1), there are cases (corresponding to different colourings of, say the top, 'external endpoints' of the local diagram modulo colour permutations; the colouring of all arcs will then be forced by the <i>local rule</i> of tricolourability and the fact that we are only dealing with three colours, and the cases which violate the <i>global rule</i> should be discarded) to check.<br />
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<u>Terminology</u> (for the purpose of this annotation)<br><br />
<b>Local rule</b>: at each crossing, of the 3 arcs involved, either 1 or all 3 colours appear.<br><br />
<b>Global rule</b>: all three colours must appear.</div>Lzhang