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).

ग्रंथसूची विवरण
मुख्य लेखकों: McDiarmid, C, Wood, D
स्वरूप: Journal article
प्रकाशित: Canadian Mathematical Society 2017