Roi Krakovski

collaborators

2 papers

math.CO2010

Extremal results regarding $K_{6}$ -minors in graphs of girth at least 5

Elad Aigner-Horev, Roi Krakovski

We prove that every 6-connected graph of girth $\geq 6$ has a $K_{6}$ -minor and thus settle the Jorgensen conjecture for graphs of girth $\geq 6$ . Relaxing the assumption on the gir…

math.CO2010

The Kelmans-Seymour conjecture for apex graphs

Elad Aigner-Horev, Roi Krakovski

We provide a short proof that a 5-connected nonplanar apex graph contains a subdivided $K_{_{5}}$ or a $K_{_{4}}^{-}$ (= $K_{_{4}}$ with a single edge removed) as a subgraph. Together with…

Extremal results regarding K6​-minors in graphs of girth at least 5

The Kelmans-Seymour conjecture for apex graphs

Extremal results regarding $K_{6}$ -minors in graphs of girth at least 5