Various structures and methods are disclosed related to routing and programming circuitry on integrated circuits (“IC”) that have arrays of programmable resistive switches. In some embodiments, routing structures utilize densely populated resistive switch arrays to provide for efficient selection circuits that route into and out of logic regions. In other embodiments, programming circuitry is provided to help maintain relatively consistent programming current throughout an array of resistive switches to be programmed. In other embodiments, methods are provided for programming resistive switches without violating given power constraints. These and other embodiments are described further herein.