%0 Journal Article %T Extremal Betti numbers of some classes of binomial edge ideals %A Ahmet Dokuyucu %J Mathematics %D 2013 %I arXiv %X Let $G$ be a cycle or a complete bipartite graph. We show that the binomial edge ideal $J_{G}$ and its initial ideal with respect to the lexicographic order have the same extremal Betti number. %U http://arxiv.org/abs/1310.2903v1