\magnification=1440 \font\bigtenrm=cmr10 scaled\magstep4 Abstract for Asad Ali Ali and William Staton, On Extremal Graphs With No Long Paths Connected graphs with minimum degree $\delta$ and at least $2\delta + 1$ vertices have paths with at least $2\delta + 1$ vertices. We provide a characterization of all such graphs which have no longer paths. \bye .