Abstract:
Summary form only given. Two kernelization methods for the vertex cover problem are investigated. The first, LP-kernelization has been in prior use and is known to produce predictable results. The second, crown reduction, is newer and faster but generates more variable results. Previously-unknown connections between these powerful methods are established. It is also shown that the problem of finding an induced crown-free subgraph in an arbitrary graph is decidable in polynomial time. Applications of crown structures are discussed.
Citation:
Abu-Khzam, F. N., Langston, M. A., & Suters, W. H. (2005). Fast, effective vertex cover kernelization: a tale of two algorithms. In Computer Systems and Applications, 2005. The 3rd ACS/IEEE International Conference on (p. 16). IEEE.