It seems like you are asking for the connection between the baby boom and crime in black neighborhoods in the 60's and 70's, but I think your question is assuming the answer. History is not so easy to draw a line through, but there are some important factors that contributed to crime in black communities in the 60's and 70's unrelated to the baby boom.

In general, these factors are (1) private segregation of businesses, (2) de jure segregation by the government, (3) discrimination by financial institutions and influence carriers (especially homeowners insurance), (4) the budding war on drugs and what is now called mass incarceration or the new jim crow if you fancy an excellent book by Michelle Alexander), (5) urban "renewal", in which black neighborhoods were designated as blight and demolished, (6) large migrations of black families out of rural communities, and many other factors.

White flight was just one of many ways in which neighborhoods became segregated and people of color were pushed into areas with fewer resources and less healthy conditions. Other ways included restrictive covenants, where deeds on houses prevented transfer to people of color, or home owners associations preventing deed transfers, or zoning ordinances which were designed to push black residents into specific address, and many many more.

I'm not so sure how related the baby boom was to segregation or crime, but rather the underlying discriminatory policies.