(adsbygoogle = window.adsbygoogle || []).push({}); Conjecture: Consider any group with anevennumber of people where each member is connected to any other through some chain of people. Then the original group can be split into groups where each member knows anoddnumber of people directly.

Note: If the party is such that each member knows an odd number of people to begin with, then the null splitting (no splitting at all) does the job.

Can anyone prove this (or find a counter-example)? Good luck!

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# Odd Party Conjecture

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