In an odd way they are related in that both provide air to the plenum.
Just remember the EGR air while hotter than ambient is very oxygen poor..........just a few % vs 22% in ambient air.
When ecu signals EGR to open, it reduces the amount of IAC addition so the VOLUME is equal. The IAC duty cycle will decrease/increase as the EGR opens and closes.
The ecu assumes the EGR path is clean as new therefore the EGR volume is as new and not reduced by carbon in the pathway.
http://www.ensight.com/news/kettering.html
I asume you are not speaking of Einsteins' Gravitational Redshift = EGR.2 10^-6, equal to a Doppler shift in a runaway motion with a speed of 0.6 km/s for our Sun.