8 第九章图与网络 如下运算矩阵， T() 0° +o +∞ 15 +0 +0 10 135 + 15 436 > 3 从而P()=0,P(2)=10,P(w)=11,P(a)=8,P()=15,Pw)=13,P() 35. 例5.求图9-19中m至w的最短路及其长度 图9-19 解我们仅列出运算矩阵： T(v;) U6 + + + 11 21 十0 21 A2 42 + + + 45 4 42 +0 + 6 6* + 756 10 由矩阵知：P(%)=10,它由产生；P()=7,它由或%产生：若P()由%产 生，P(=4,它由2产生：P(2)=1.它由产生：若P()由%产生，P=6,它由8 ⑥✌⑦✌⑧⑩⑨✘❶✖❷✘❸ ✁é✁✠✌❤✁✡✁☛. vj T(vj ) v1 v2 v3 v4 v5 v6 v7 k 1 0 ∗ +∞ +∞ +∞ +∞ +∞ +∞ 2 101 151 8 ∗ 1 +∞ +∞ +∞ 3 10∗ 1 114 +∞ 134 +∞ 4 11∗ 4 162 134 +∞ 5 162 13∗ 3,4 +∞ 6 15∗ 6 436 7 35∗ 5 ✞✌➞ P(v1) = 0,P(v2) = 10, P(v3) = 11,P(v4) = 8, P(v5) = 15, P(v6) = 13, P(v7) = 35. õ 5. ☞✌✑ 9–19 ✕ v1 ➁ v8 æ✭✌✮✟ø✌➟❊✫✌✬. ✑ 9–19 ö : ò■✌✇ê ❇ ✠✌❤✁✡✁☛: vj T(vj ) v1 v2 v3 v4 v5 v6 v7 v8 k 1 0 ∗ +∞ +∞ +∞ +∞ +∞ +∞ +∞ 2 1 ∗ 1 21 +∞ +∞ +∞ +∞ +∞ 3 2 ∗ 1 42 42 +∞ +∞ +∞ 4 4 ∗ 2 42 +∞ 103 +∞ 5 4 ∗ 2 64 84 +∞ 6 6 ∗ 4 75 +∞ 7 7 ∗ 5,6 116 8 10∗ 7 r☞✡✁☛✁✌:P(v8) = 10, ❋ r v7 ✴✁✍; P(v7) = 7, ❋ r v5 ✪ v6 ✴✁✍; ❽ P(v7) r v5 ✴ ✍ ,P(v5) = 4, ❋ r v2 ✴✁✍;P(v2) = 1. ❋ r v1 ✴✁✍; ❽ P(v7) r v6 ✴✁✍,P(v6) = 6, ❋ r