Reconfiguration of Regular Induced Subgraphs

11/26/2021
by   Hiroshi Eto, et al.
0

We study the problem of checking the existence of a step-by-step transformation of d-regular induced subgraphs in a graph, where d ≥ 0 and each step in the transformation must follow a fixed reconfiguration rule. Our problem for d=0 is equivalent to Independent Set Reconfiguration, which is one of the most well-studied reconfiguration problems. In this paper, we systematically investigate the complexity of the problem, in particular, on chordal graphs and bipartite graphs. Our results give interesting contrasts to known ones for Independent Set Reconfiguration.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset