1
2
http://lpetrich.org/Science/GeometryDemo/GeometryDemo_GMap.html
p1, p2, . . . , pn 
pi pi pj 
pj ≠
pi 
pi 
pi
e 
pi pj 
pk
pi 
pi
mv – me + mf =2
Mv-Me+Mf=2 
let call Mv as nv , (nv+1) – ne+n = 2 
Me as ne , 
(number of sites)Mf as n 
(sum of all degrees) 2ne 
, 2ne 3(nv+1) 
, 2ne 3(2+ne-n) 
3(nv+1) 
2ne 6+3ne-3n ne 3n-6 
, n-2+(nv+1) 3n-6 nv 2n-5
Cp
Cp 
pi pj 
Cp pi pj
Cp 
pi pj pk 
pi pj 
pk 
pi pj 
pk 
pi 
pj pk 
pi pj pk
pi pj 
pi pj 
pi pj pk 
pi pj 
pi 
pj
26
T(n) = O(n² log n) 
pi 
pi pj ≠
• l+ 
l+ 
l+
`
pj
ly 
• pj pj,x pj,y 
pi,y pj,y ly
pi pk
55

Voronoi Diagrams