In Theory of Graphs there is the following theorem:
A graph with more than two vertexes has at least two vertexes with the same degree. Proof
Let’s consider a party where each guest is a vertex. Two vertexes (or guests) are connected if they are acquaintances. The theorem asserts that in each party above two guests there are at least two guests with the same number of acquaintances (0 acquaintances is also considered).
23+ years’ programming and theoretical experience in the computer science fields such as video compression, media streaming and artificial intelligence (co-author of several papers and patents).
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it’s a famous problem
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