2007
DOI: 10.2139/ssrn.1001917
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Small World Network of Athletes: Graph Representation of the World Professional Tennis Player

Abstract: The paper proposes an alternative way to observe and extract the multiple matches games of sports, i.e.: tennis tournament in the Athlete's Historical Relative Performance Index and its representation as graph. The finding of the small world topology is elaborated along with further statistical patterns in the fashion of the weighted and directed network. The explanation of the sport tournament system as a highly optimized system is hypothetically proposed. Finally, some elaborations regarding to further direc… Show more

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Cited by 6 publications
(6 citation statements)
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“…The power-law and the Lévy distributions are the two models performing better on the raw data, thus the considered network exhibits many properties typical of scalefree networks. Assuming the network as power-law, we can measure the scale-free parameter γ: it is found to be γ in ≈ 1.66 for indegrees, γ out ≈ 2.12 for out-degrees and γ undirect ≈ 1.38 for the undirect network, values which are consistent with the ones found in literature in [14] and [13].…”
Section: E Considerations On Network Naturesupporting
confidence: 87%
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“…The power-law and the Lévy distributions are the two models performing better on the raw data, thus the considered network exhibits many properties typical of scalefree networks. Assuming the network as power-law, we can measure the scale-free parameter γ: it is found to be γ in ≈ 1.66 for indegrees, γ out ≈ 2.12 for out-degrees and γ undirect ≈ 1.38 for the undirect network, values which are consistent with the ones found in literature in [14] and [13].…”
Section: E Considerations On Network Naturesupporting
confidence: 87%
“…Most of the players have a small number of matches and then quit playing the major tournaments, on the contrary, there is a small group of top-players who perform many matches against weaker players and among themselves. This phenomenon is an observation of the rich get richer effect driven by the attractiveness of the high connected nodes as opponent for new-comers; an interpretation of the richness that the players achieve could be their gain of some sort of "experience" during the matches of their carreer, as already pointed out in [13].…”
Section: Hubsmentioning
confidence: 60%
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“…It was originally developed in computer science. It has been used in various fields of study including chemistry [4], medicine [5] and [6], sociology [7] and [8], finance [9], [10], [11], [12], and [13] transportation [14] and as well as sports [15] and [16].…”
Section: Network Topology Representationmentioning
confidence: 99%