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ycles can be joined at many vertices. Below you see some examples of C 4 and C 5 being merged at two vertices ( displayed

ycles can be joined at many vertices. Below you see some examples of C

4

and C

5

being merged at two vertices

(

displayed in purple

) .

The cycles are shown in red dashed lines.

What are the possible chromatic numbers for cycles merged at two vertices?

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