TY - JOUR VL - 28 SP - 756 A1 - Talbot, JM A1 - Baber, R PB - Society for Industrial and Applied Mathematics JF - SIAM Journal on Discrete Mathematics Y1 - 2014/05/22/ N2 - We prove a vertex domination conjecture of Erd?os, Faudree, Gould, Gy´arf´as, Rousseau, and Schelp that for every n-vertex complete graph with edges colored using three colors there exists a set of at most three vertices which have at least 2n/3 neighbors in one of the colors. Our proof makes extensive use of the ideas presented in [D. Kr´al? et al., A new bound for the 2/3 conjecture, Combin. Probab. Comput. 22 (2013), pp. 384?393]. ID - discovery1529895 UR - http://doi.org/10.1137/130926614 N1 - This version is the version of record. For information on re-use, please refer to the publisher?s terms and conditions. KW - Vertex domination KW - Ramsey theory SN - 0895-4801 TI - A solution to the 2/3 conjecture AV - public IS - 2 EP - 766 ER -