Ahlswede–Khachatrian complete intersection theorem

Target entity: Ahlswede–Khachatrian complete intersection theorem
Context triple: [Erdős–Ko–Rado theorem, hasGeneralization, Ahlswede–Khachatrian complete intersection theorem]

• A. Erdős–Ko–Rado theorem
  The Erdős–Ko–Rado theorem is a fundamental result in extremal combinatorics that determines the maximum size of a family of subsets of a finite set in which every pair of subsets has a non-empty intersection.
• B. Graham–Pollak theorem
  The Graham–Pollak theorem is a result in graph theory that states the edges of a complete graph on n vertices cannot be partitioned into fewer than n−1 complete bipartite subgraphs.
• C. Combinatorial Nullstellensatz
  Combinatorial Nullstellensatz is a powerful algebraic tool in combinatorics that uses polynomial methods over fields to derive results about combinatorial structures, such as existence and counting theorems.
• D. Pósa’s theorem in graph theory
  Pósa’s theorem in graph theory is a result that gives a sufficient degree condition for a finite graph to contain a Hamiltonian cycle.
• E. Szemerédi's theorem
  Szemerédi's theorem is a fundamental result in combinatorial number theory stating that any subset of the integers with positive upper density contains arbitrarily long arithmetic progressions.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Ahlswede–Khachatrian complete intersection theorem
Target entity description: The Ahlswede–Khachatrian complete intersection theorem is a fundamental result in extremal set theory that fully characterizes the largest intersecting families of k-element subsets for all parameter ranges, extending and sharpening the Erdős–Ko–Rado theorem.

• A. Erdős–Ko–Rado theorem
  The Erdős–Ko–Rado theorem is a fundamental result in extremal combinatorics that determines the maximum size of a family of subsets of a finite set in which every pair of subsets has a non-empty intersection.
• B. Graham–Pollak theorem
  The Graham–Pollak theorem is a result in graph theory that states the edges of a complete graph on n vertices cannot be partitioned into fewer than n−1 complete bipartite subgraphs.
• C. Combinatorial Nullstellensatz
  Combinatorial Nullstellensatz is a powerful algebraic tool in combinatorics that uses polynomial methods over fields to derive results about combinatorial structures, such as existence and counting theorems.
• D. Pósa’s theorem in graph theory
  Pósa’s theorem in graph theory is a result that gives a sufficient degree condition for a finite graph to contain a Hamiltonian cycle.
• E. Szemerédi's theorem
  Szemerédi's theorem is a fundamental result in combinatorial number theory stating that any subset of the integers with positive upper density contains arbitrarily long arithmetic progressions.
• F. None of above. chosen