math formula Minors in math formula- Chromatic Graphs, II


  • Grant sponsor: NSF; grant number: DMS-0965587; grant sponsor: Russian Foundation for Basic Research; grant numbers: 12-01-00448 and 12-01-00631.


Let math formula denote the graph obtained from the complete graph math formula by deleting the edges of some math formula-subgraph. The author proved earlier that for each fixed s and math formula, every graph with chromatic number math formula has a math formula minor. This confirmed a partial case of the corresponding conjecture by Woodall and Seymour. In this paper, we show that the statement holds already for much smaller t, namely, for math formula.