Additive Combinatorics

DOI10.1201/9781351137621zbMath1415.11001arXiv1705.07444OpenAlexW4250713849MaRDI QIDQ4607133

Bajnok, Béla

Publication date: 12 March 2018

Full work available at URL: https://arxiv.org/abs/1705.07444

zbMATH Keywords

spherical designindependent setsumsetarithmetical functionSidon setspanning setfinite abelian groupsum-free setgame SET

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to combinatorics (05-02) Exact enumeration problems, generating functions (05A15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Combinatorics of partially ordered sets (06A07) Extremal set theory (05D05) Finite abelian groups (20K01) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Additive bases, including sumsets (11B13) General block designs in finite geometry (51E05) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (15)

VC-saturated set systems ⋮ Direct and inverse problems for restricted signed sumsets in integers ⋮ Classifications of $\ell$-Zero-Sumfree Sets ⋮ A Note on Sumsets and Restricted Sumsets ⋮ On the Harborth constant of \(C_3 \oplus C_{3p}\) ⋮ Generalized \(H\)-fold sumset and subsequence sum ⋮ Rainbow subgraphs in edge‐colored complete graphs: Answering two questions by Erdős and Tuza ⋮ THE MAXIMUM SIZE OF -SUM-FREE SETS IN CYCLIC GROUPS ⋮ Embedding Graphs into Larger Graphs: Results, Methods, and Problems ⋮ Minimum number of additive tuples in groups of prime order ⋮ Regular saturated graphs and sum-free sets ⋮ Unnamed Item ⋮ Restricted sumsets in ℤn ⋮ The largest $(k,\ell )$-sum-free subsets ⋮ On perfect bases in finite abelian groups

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