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Jun 8, 2020 at 14:03 comment added Jaehyeon Seo I have a question to the last paragraph. Consider a graph which consists of a hexagon and three antipodal diagonals (i.e. a $K_{3,3}$). Add vertices in the middle of two diagonals, and connect them. Then for the outer 6-cycle $C$, there are two $C$-fragments. How can this example be understood by the last paragraph?
Oct 22, 2013 at 8:12 comment added Jack M Thanks, the bipartite thing was a typo. The thing is, I was hoping to use Tutte's theorem to prove Kuratowski's theorem, hence the requirement that the proof be independant of Kuratowski.
Oct 22, 2013 at 1:01 history edited Tony Huynh CC BY-SA 3.0
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Oct 22, 2013 at 0:55 history answered Tony Huynh CC BY-SA 3.0