Signed Diagonal Flips and the Four Color Theorem

Shalom Eliahou
1999 European journal of combinatorics (Print)  
We introduce a signed version of the diagonal flip operation. We then formulate the conjecture that any two triangulations of a given polygon may be transformed into one another by a signable sequence of diagonal flips. Finally, we show that this conjecture, if true, would imply the four color theorem.
doi:10.1006/eujc.1999.0312 fatcat:daequzfr2jeblnokwije72arvm