On Linear Programming Duality and
Landau's Characterization of Tournament Scores
Allan B. Cruse
University of San Francisco
H. G. Landau  characterized those integer-sequences which can arise as the score-vectors in an ordinary round-robin tournament among   n   contestants.   This note exhibits Landau's theorem as an instance of the Duality Principle from linear programming, and points out how this LP approach suggested a generalization of Landau's result going beyond the well-known extension due to J. W. Moon .