- #1
FaustoMorales
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Conjecture: Consider any group with an even number 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 an odd number 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!
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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