ISOPERIMETRIC INEQUALITY ON THE DISCRETE CUBE 209 where f: 4 1,1 n 0,1 is arbitrary, c is a universal constant and JpŽ. p' log 1Ž. p.The value EM A can be viewed as ''interior'' perimeter. Since IpŽ. 2log 1Ž. p,as 0, and sincep Mf 1 f, 8 implies 7 up toŽ. Ž. 2 some universal constant in front of IŽŽ.. A.In fact, the unequality n Ž. Ž. Ž.9 EM An n cJŽ. A Ž.1 A,