Signed Diagonal Flips
نویسنده
چکیده
We introduce the notion of signed diagonal flips on signed surface tri-angulations. We then formulate the conjecture that any two triangulations (without interior vertices) of a given polygon may be transformed into each other by a signable sequence of diagonal flips. Finally, we explain how this conjecture implies the four color theorem.
منابع مشابه
On signed diagonal flip sequences
Eliahou [1] and Kryuchkov conjectured a proposition that Gravier and Payan [4] proved to be equivalent to the Four Color Theorem. It states that any triangulation of a polygon can be transformed into another triangulation of the same polygon by a sequence of signed diagonal flips. It is well known that any pair of polygonal triangulations are connected by a sequence of (non-signed) diagonal fli...
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تاریخ انتشار 2002