%0 Journal Article %T Total domination in K 5- and K 6-covered graphs %A Odile Favaron %A Hosein Karami %A Seyed Mahmoud Sheikholeslami %J Discrete Mathematics & Theoretical Computer Science %D 2008 %I Discrete Mathematics & Theoretical Computer Science %X A graph G is K r-covered if each vertex of G is contained in a K r-clique. Let ¦Ã t (G) denote the total domination number of G. It has been conjectured that every K r-covered graph of order n with no K r-component satisfies ¦Ã t (G) ¡Ü 2n/(r+1). We prove that this conjecture is true for r=5 and 6. %U http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/486