%0 Journal Article %T Removability of H£żlder graphs for continuous sobolev functions %A Nicolae Tecu %J Mathematics %D 2010 %I arXiv %X We characterize the removability of H\"older-$\alpha$ graphs with respect to continuous Sobolev $W^{1,2}$ functions. For $\alpha > 2/3$ these graphs are removable, while for $\alpha <2/3$ there exist graphs which are not removable. %U http://arxiv.org/abs/1006.2152v1