2026-09-21T09:19:19Zhttps://wakespace.lib.wfu.edu/server/oai/request

oai:null:10339/385772026-09-02T08:42:38Zcom_10339_14934col_10339_38132

Sizemore, Robert Kelly 2013-06-06T21:19:39Z 2013-06-06T21:19:39Z 2013 https://wakespace.lib.wfu.edu/handle/10339/38577 In this thesis, we examine a ranking method called HodgeRank. HodgeRank was introduced in 2008 by Jiang, Lim, Yao and Ye as ``a promising tool for the statistical analysis of ranking, especially for datasets with cardinal, incomplete, and imbalanced information.'' To apply these methods, we require data in the form of pairwise comparisons, meaning each voter would have rated items in pairs. An obvious candidate for ranking data in the form of pairwise comparisons comes from sports, where such comparisons are very natural (i.e. games between two teams). We describe a simple way in which HodgeRank can be used for sports ratings and show how HodgeRank generalizes the well-established sports rating method known as Massey's method. en Wake Forest University Graph Theory Hodge Theory Sports Ranking Topology HodgeRank: Applying Combinatorial Hodge Theory to Sports Ranking Thesis Parsley, Robert J Mastin, John M Moore, William F Mathematics open.access