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Table 1 The f-vector for small BME polytopes.

From: On the optimality of the neighbor-joining algorithm

#leaves dim(BME polytope) f-vector
4 2 (3,3)
5 5 (15, 105, 250, 210, 52)
6 9 (105, 5460, ?, ?, ?, 90262)
7 14 (945, 445410, ?, ?, ?, ?, ?)
n ( n 2 ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaWaaeWaaeaafaqabeGabaaabaGaemOBa4gabaGaeGOmaidaaaGaayjkaiaawMcaaaaa@2FC2@ - n ((2n - 5)!!,?, ...)