Is it true that Eisenhower exterminated all the German POW of the western front after the end of WWII ?

The German captured in the last weeks of World War 2 suffered badly. There were cases of murder and callous treatment but these were the exception and not the rule. There was no official policy of cruelty and m murder. The hardships were the result of the huge numbers of prisoners confined and the overall chaos and destruction within Germany. Taken captive were not just ordinary members of the German armed forces but also Nazi party officials and anyone deemed a threat to allied occupation or a potential war criminal. The chaos that caused some prisoners to starve also permitted war criminals like Mengele to escape.