Turan's theorem inverted

Mathematics – Combinatorics

Scientific paper

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Some polishing. Updated references

Scientific paper

Turan's theorem implies that every graph of order n with more edges than the
r-partite Turan graph contains a complete graph of order r+1. We show that the
same premise implies the existence of much larger graphs. We also prove
corresponding stability theorems. These results complete work started by Erdos
in 1963.

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