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Abstract: Despite football’s collaborative nature, the inquiry into the identity of the best player is a frequent topic in the footballing realm. This discussion disproportionately highlights attacking players, creating an apparent bias, as every team role holds significance. Our study aimed to delineate player performance from team performance and ensure the inclusion of players from all positions in the ultimate ranking of the best players. We sourced data from FBref, encompassing every player in every match played by a top 20 European team in the current century’s top 5 European leagues. Employing a multilevel linear mixed-effects model, we utilized team points as the response variable, accounting for both player and opponent team strength. The extraction of level-2 player residuals, averaged by player, facilitated the creation of a comprehensive ranking for the best players of this century. Surprisingly, two players widely regarded as among the best of all time, Messi and Ronaldo, secured relatively low positions on our list (Ronaldo at 12th, and Messi at 14th).
Keywords: multilevel modeling, footballer ranking, sports modeling
Published in RUP: 05.06.2025; Views: 215; Downloads: 10
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Abstract: We prove that there exist infinitely many splittable and also infinitely many unsplittable cyclic ▫$(n_3)$▫ configurations. We also present a complete study of trivalent cyclic Haar graphs on at most 60 vertices with respect to splittability. Finally, we show that all cyclic flag-transitive configurations with the exception of the Fano plane and the Möbius-Kantor configuration are splittable.
Keywords: configuration of points and lines, unsplittable configuration, unsplittable graph, independent set, Levi graph, Grünbaum graph, splitting type, cyclic Haar graph
Published in RUP: 03.01.2022; Views: 1823; Downloads: 20
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Keywords: benzenoid, polygonal complex, (catacondensed) chemical hexagonal complex, Kekulé structure
Published in RUP: 18.10.2021; Views: 2115; Downloads: 38
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Keywords: chamois, mitogenome, phylogeny, Rupicapra
Published in RUP: 06.05.2021; Views: 1990; Downloads: 32
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Keywords: t-načrt, končna projektivna ravnina, Steinerjev sistem, incidenčna matrika, simetrični načrt, dual načrta, permutacijska grupa, avtomorzem načrta, skrčitev načrta, razširitev načrta, Hadamardova matrika, Hadamardov načrt
Published in RUP: 02.10.2020; Views: 2070; Downloads: 21
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