According to various embodiments, a resistive-switching memory element and memory element array that uses a bipolar switching includes a select element comprising only a single diode that is not a Zener diode. The resistive-switching memory elements described herein can switch even when a switching voltage less than the breakdown voltage of the diode is applied in the reverse-bias direction of the diode. The memory elements are able to switch during the very brief period when a transient pulse voltage is visible to the memory element, and therefore can use a single diode per memory cell.