Publication details
Optimal-size clique transversals in chordal graphs
| Authors | |
|---|---|
| Year of publication | 2018 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Graph Theory |
| Citation | |
| web | http://dx.doi.org/10.1002/jgt.22362 |
| Doi | http://dx.doi.org/10.1002/jgt.22362 |
| Keywords | chordal graphs; clique transversals |
| Description | The following question was raised by Tuza in 1990 and Erdős et al. in 1992: if every edge of an n-vertex chordal graph G is contained in a clique of size at least four, does G have a clique transversal, i.e. a set of vertices meeting all nontrivial maximal cliques, of size at most n/4? We prove that every such graph G has a clique transversal of size at most 2(n-1)/7 if n>=5, which is the best possible bound. |