Clique-transversal set problem is to find a minimum clique-transversal set of graphs.
Clique-transversal set problem (CTS) is proved to be NP-complete in planar graphs.
We give a polynomial algorithm for the CTS problem in mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0020019016301429&_mathId=si3.gif&_user=111111111&_pii=S0020019016301429&_rdoc=1&_issn=00200190&md5=56764aac882d8e84462115607a89b967" title="Click to view the MathML source">{claw,K4}mathContainer hidden">mathCode"><math altimg="si3.gif" overflow="scroll">