Landau's Theorem Revisited Again
Abstract
We give a new proof of the sufficiency of Landau's conditions for a non-decreasing sequence of integers to be the score sequence of a tournament. The proof involves jumping down a total order on sequences satisfying Landau's conditions and provides a O(n2) algorithm that can be used to construct a tournament whose score sequence is any in the total order. We also compare this algorithm with to other algorithms that jump along this total order, one jumping down and one jumping up.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.