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Table 1 The quantities that we use for expressing the skewness of the MPD

From: Computing the skewness of the phylogenetic mean pairwise distance in linear time

I) TC(T)= { u , v } Δ ( S ) cost(u,v)

II) CB(T)= { u , v } Δ ( S ) cos t 3 (u,v)

III) eE,TC(e)= { u , v } Δ ( S ) e p ( u , v ) cost(u,v)

IV) eE,SQ(e)= { u , v } Δ ( S ) e p ( u , v ) cos t 2 (u,v)

V) eE,Mult(e)= { u , v } Δ ( S ) e p ( u , v ) TC(u)·TC(v)

VI) uS,SM(u)= v S { u } cost(u,v)·TC(v)

VII) eE, TC sub (e)= u S ( e ) cost(u,e)

VIII) eE, SQ sub (e)= u S ( e ) cos t 2 (u,e)

IX) eE,PC(e)= u S cost(u,e)

X) eE,PSQ(e)= u S cos t 2 (u,e)

XI) eE,QD(e)= u S ( e ) v S ( e ) { u } cost ( u , v ) 2