Self-reduction (Jerrum-Valiant-Vazirani) ACV On E10,1)A=Prlo(v)=01(A)=A] V={w1,u2,,n} 0i:V1,U2,.·,Vi→1 Pr(on)=Prlg:1,,n→1刂 m =IPr[a()=1|:1,,%-1→1刂 i=1 =Π(1-p8-1) 2=1 YlEI Pr(On)= w(On) YIE Z(G Z(G >z(G)=1-Self-reduction ￾￾ ￾ {0, 1}￾ V = {v1, v2,...,vn} ￾i : v1, v2,...,vi ￾￾ 1 = ￾ n i=1 (1 ￾ p￾i￾1 vi ) ￾ ￾ V 8Z(￾n) 8Z(￾n) = w(￾n) Z(G) = ￾|E| Z(G) Z(G) = ￾|E| ￾n i=1(1 ￾ p ￾i￾1 vi ) p￾￾ v = 8Z ￾ [￾(v) = 0 | ￾(￾) = ￾￾] = 8Z ￾ [￾ : v1,...,vn ￾￾ 1] = ￾ n i=1 8Z ￾ [￾(vi) = 1 | ￾ : v1,...,vi￾1 ￾￾ 1] (Jerrum-Valiant-Vazirani)