Graphs of bounded cliquewidth are polynomially χ-bounded

10/01/2019
by   Marthe Bonamy, et al.
0

We prove that if C is a hereditary class of graphs that is polynomially χ-bounded, then the class of graphs that admit decompositions into pieces belonging to C along cuts of bounded rank is also polynomially χ-bounded. In particular, this implies that for every positive integer k, the class of graphs of cliquewidth at most k is polynomially χ-bounded.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset