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Woodall, Douglas R.
List Total Colouring Conjecture ★★
Author(s): Borodin; Kostochka; Woodall
Conjecture If
is the total graph of a multigraph, then
.
![$ G $](/files/tex/b8e7ad0330f925492bf468b5c379baec88cf1b3d.png)
![$ \chi_\ell(G)=\chi(G) $](/files/tex/0a2573f7d1a57016f919f018635cd3f9f9875fc4.png)
Keywords: list coloring; Total coloring; total graphs
Woodall's Conjecture ★★★
Author(s): Woodall
Conjecture If
is a directed graph with smallest directed cut of size
, then
has
disjoint dijoins.
![$ G $](/files/tex/b8e7ad0330f925492bf468b5c379baec88cf1b3d.png)
![$ k $](/files/tex/c450c3185f7285cfa0b88d3a903c54f7df601201.png)
![$ G $](/files/tex/b8e7ad0330f925492bf468b5c379baec88cf1b3d.png)
![$ k $](/files/tex/c450c3185f7285cfa0b88d3a903c54f7df601201.png)
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