PC3

N P
S n C
S k
S0S k
C
N P
N P
G= (X, A)X A ⊂
X×X
(y1, y2),(y2, y3),...,(yk−1, yk),(yk, y1)
C A (X, A\C)
C
N P
G= (X, E)
G0= (X0, A)
X={x1, x2, . . . , xn}G02n
X0={x0
1, x0 2, . . . , x0 n, x1 1, x1 2, . . . , x1 n}
A A0A00
A0={1≤i≤n|(x0
i, x1 i)}
{x, y}E2 (x1, y0) (y1, x0)
A00
G02m+n m G
C G0C
(x1
i, x0 j) (x0 i, x1 i)
G0
C A0
N P

G= (V, E)
V={1,2, . . . , n}(i, j)∈E d(i, j)
1 = v0, v1, . . . , vn= 1
D=Pn−1
i=0 d(vi, vi+1)
O(n!)
S⊂ {2, . . . , n}[S;i]
1S\ {i}
i
S⊂ {2, . . . , n}2 [S;i]
[S\ {i};j]j∈S\ {i}
O(n22n)
f
n
m
O∗(2n)O∗(2n)
n m f(n, m) = O∗(g(n))
P(n, m)|f(n, m)/g(n)| ≤ P(n, m)n, m
m m
T(n)
T(n)≤T(n−1) + T(n−2) + T(n−3) + (n).
3O∗(Xn)X≈1.8392
X3=X2+X+ 1
Φ 3 Φ
x x ¯x
(n−2) (n−3)
3O∗(Yn)Y≈1.7692
Y3= 2Y+ 2
AΦA
Φ Φ
A A A Φ[A]
ΦAΦ[A]

3T(n)
T(n)≤max T(n−1), T2(n−1) + T2(n−2) + T2(n−3)+ (n),
T2(n)≤max T(n−1), T2(n−1) + T2(n−2)+ (n),
T2(n)
2T(n) = O∗(Zn)
Z Z2=Z+ 1 Z=1+√5
2≈1.6180