Extremal theorems on divisors of a number

DOI10.1016/0012-365X(78)90171-1zbMath0393.05049MaRDI QIDQ1252361

Shuo-Yen Robert Li

Publication date: 1978

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Greatest Common DivisorCoverings of GraphsDivisors of IntegersExtremal Set TheoryLeast Common Multiple

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Graph theory (05C99) Directed graphs (digraphs), tournaments (05C20) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items

Some Results on Systems of Finite Sets That Satisfy a Certain Intersection Condition, An extremal theorem on divisors of a number

Cites Work

• An extremal problem among subsets of a set
• Sperner systems consisting of pairs of complementary subsets
• An extremal problem on the set of noncoprime divisors of a number
• A generalization of results of P. Erdős, G. Katona, and D. J. Kleitman concerning Sperner's theorem
• A generalization of some generalizations of Sperner's theorem
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
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