A proof by mathematical induction. Dedicated to my IB students of TCSH

**Thanks to my***IB*students at__,__*TCSH*

**This proof is dedicated to all of you, an inspiration that comes from our math lessons together.****I have looked into some books and internet sources and so far the proof uses the approach of a supposition of a longest path.**

**I welcome you all to study the proof by mathematical induction given here and tell me if I overlooked something.**

**This is one way how you can do a math exploration.****Please click here for the proof.**
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