Edge-maximal graphs on surfaces

We prove that for every surface Σ of Euler genus g, every edgemaximal embedding of a graph in Σ is at most O(g) edges short of a triangulation of Σ. This provides the first answer to an open problem of Kainen (1974).

מידע ביבליוגרפי
Main Authors: McDiarmid, C, Wood, D
פורמט: Journal article
יצא לאור: Canadian Mathematical Society 2017