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Guichard-Combinatorics-Graph-Theory
· Problem 5.9.2
Graph Theory
Mathematics — Probability · chromatic-polynomial
Problem
Suppose that
G
G
G
is not connected and has components
C
1
,
…
,
C
k
C_1, \ldots, C_k
C
1
,
…
,
C
k
. Show that
P
G
=
∏
i
=
1
k
P
C
i
P_G = \prod_{i=1}^k P_{C_i}
P
G
=
∏
i
=
1
k
P
C
i
.
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