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z
y
C
x
Fig. 9.8
Illustration to y;x; z 2 Ext.C/ in counterclockwise order
y 2
C 2
C 1
y 1
y 3
C 6
x
C 3
y 6
C 5
y 4
C 4
y 5
Fig. 9.9
Illustration to Lemma 9.1 with P x D 6
and i 2f 1;:::;P x g , then the following holds (assume that i C 1 D 1 whenever
i D P x ):
8
<
9
=
sit .C i ;x/ D S1
or
sit .C iC1 ;x/ D S1
Par
or sit .C i ;x/ 2f S2;S3 g
sit .C iC1 ;x/ 2f S2;S4 g
xy iC1
X
()
:
;
Par f 1 ;f 2 .
These results validate the following algorithm for finding
X
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