We know each tree is a bipartite graph. How do you prove that each tree has at least one leaf on the part with bigger size?
Any hints how to start the proof?
2026-03-28 22:28:06.1774736886
How to prove that each tree has at least one leaf on the part with bigger size?
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HINT
Try the contrapositive: if you have a bipartite graph, and if all the vertices in the part with the bigger size have degree greater or equal than two, then you must get a cycle, i.e. not a tree.