A polysilicon resistor fuse has an elongated bow-tie body that is wider at the opposite ends relative to a narrow central portion. The opposite ends of the body of the fuse have high concentrations of N-type dopants to make them low resistance contacts. The upper portion of the central body has a graded concentration of N-type dopants that decreases in a direction from the top surface toward the middle of the body between the opposite surfaces. The lower central portion of the body is lightly doped with P-type dopants. The central N-type region is a resistive region.