A következő kombinatorika szeminárium ideje
A drawing of a graph is simple iff any two edge-curves have at most one common point (a common endpoint or a crossover). A drawing is 2-simple iff any two edge-curves have at most two common points. Complete graphs have simple drawings. But non-complete graphs might have simple drawing such that there is no way to add an edge-curve and preserve simplicity (such a drawing is called a saturated drawing).
The main problem: How few edges can we have in a saturated simple drawing of a graph on n vertices? One can propose the same problem for 2-simple drawings. The answer is linear in both cases. I am going to sketch the best constructions so far.
This is a joint work with Alexander Igamberdiev, Gunter Rote and Andre Schulz.
Minden érdeklődőt szeretettel várunk,
Péter
Supported by TÁMOP-4.2.2.A-11/1/KONV-2012-0073 projekt, "Telemedicina fókuszú kutatások Orvosi, Matematikai és Informatikai tudományterületeken"