Multicut in trees viewed through the eyes of vertex cover Academic Article uri icon

abstract

  • We take a new look at the multicut problem in trees, denoted multicut on trees henceforth, through the eyes of the vertex cover problem. This connection, together with other techniques that we develop, allows us to give an upper bound of O( k3) on the kernel size for multicut on trees, significantly improving the O( k6) upper bound given by Bousquet et al. We exploit this connection further to present a parameterized algorithm for multicut on trees that runs in time O*( k), where =(5+1)/21.618. This improves the previous (time) upper bound of O*(2 k), given by Guo and Niedermeier, for the problem. 2012 Elsevier Inc.

published proceedings

  • JOURNAL OF COMPUTER AND SYSTEM SCIENCES

author list (cited authors)

  • Chen, J., Fan, J., Kanj, I., Liu, Y., & Zhang, F.

citation count

  • 7

complete list of authors

  • Chen, Jianer||Fan, Jia-Hao||Kanj, Iyad||Liu, Yang||Zhang, Fenghui

publication date

  • September 2012