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Maps of Tournaments: Distances, Experiments, and Data

2026/01/26 by Filip Nikolow, Piotr Faliszewski, Stanisław Szufa · 1 voice
Computer Science · #cs.GT

paper · pdf · doi:10.3233/faia250866

Abstract

We form a "map of tournaments" by adapting the map framework from the world of elections. By a tournament we mean a complete directed graph where the nodes are the players and an edge points from a winner of a game to the loser (with no ties allowed). A map is a set of tournaments represented as points on a 2D plane, so that their Euclidean distances resemble the distances computed according to a given measure. We identify useful distance measures, discuss ways of generating random tournaments (and compare them to several real-life ones), and show how the maps are helpful in visualizing experimental results (also for knockout tournaments).

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