Untitled

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Untitled

C w(C) ≤ B

B

G = (V, E) v1, v2, . . . , vp

HK

G ′ = (V, E ′ )

G

G ′


1 (vi, vj) ∈ G

w(vivj) =

2

(vi, vj)

vi vj w(vi, vj) B = p p



G G ′




p


2


n = p r = 2

n!

r!(n − r)!

p! p · (p − 1)

= =

2!(p − 2)! 2

p2 − p

2

G G ′ O(p 2 )




G ′ G

C w(C) ≤ B = p G

G ′

G w(C) ≤ B = p ⇔ G ′ w(C ′ ) ≤ B = p

⇒:

C G C

v1, . . . , vp, v1 G ′

p C ′ v1, . . . , vp, v1 G ′

p

⇐:

C ′ G ′ B = p p

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