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An algebraic renaissance for the chromatic polynomial

Title
An algebraic renaissance for the chromatic polynomial
Funding
ARC | Discovery Projects
Contract (GA) number
DP110100957
Start Date
2011/01/01
End Date
2013/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP110100957

 

  • Minors for alternating dimaps

    We develop a theory of minors for alternating dimaps --- orientably embedded digraphs where, at each vertex, the incident edges (taken in the order given by the embedding) are directed alternately into, and out of, the vertex. We show that they are related by the triality relation of Tutte. They do not commute in general, though do in many circumstances, and we characterise the situations where they do. The relationship with triality is reminiscent of similar relationships for binary function...
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