The Cayley-Turán number exCay(K_{r+1}, Z_p) for odd prime p equals p-1 - 2 floor(p/(r+1)).
Additive Combinatorics: A Menu of Research Problems
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abstract
This text contains over three hundred specific open questions on various topics in additive combinatorics, each placed in context by reviewing all relevant results. While the primary purpose is to provide an ample supply of problems for student research, it is hopefully also useful for a wider audience. It is the author's intention to keep the material current, thus all feedback and updates are greatly appreciated.
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2026 1verdicts
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A Tur\'an Theorem for Cayley Graphs
The Cayley-Turán number exCay(K_{r+1}, Z_p) for odd prime p equals p-1 - 2 floor(p/(r+1)).