Highly Influential

4 Excerpts

- Published 2016

We prove that claw-free graphs, containing an induced dominating path, have a Hamiltonian path, and that 2-connected claw-free graphs, containing an induced doubly dominating cycle or a pair of vertices such that there exist two internally disjoint induced dominating paths connecting them, have a Hamiltonian cycle. As a consequence, we obtain linear time algorithms for both problems if the input is restricted to (claw,net)-free graphs. These graphs enjoy those interesting structural properties.

@inproceedings{Brandstdt2016LinearTA,
title={Linear Time Algorithms or Hamiltonian Problems on (Claw, Net)-Free Graphs},
author={Andreas Brandst{\"a}dt and Feodor F. Dragan and Ekkehard K{\"{o}hler},
year={2016}
}