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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) ∀e∈E,TC(e)= ∑ { u , v } ∈ Δ ( S ) e ∈ p ( u , v ) cost(u,v) IV) ∀e∈E,SQ(e)= ∑ { u , v } ∈ Δ ( S ) e ∈ p ( u , v ) cos t 2 (u,v)
V) ∀e∈E,Mult(e)= ∑ { u , v } ∈ Δ ( S ) e ∈ p ( u , v ) TC(u)·TC(v) VI) ∀u∈S,SM(u)= ∑ v ∈ S ∖ { u } cost(u,v)·TC(v)
VII) ∀e∈E, TC sub (e)= ∑ u ∈ S ( e ) cost(u,e) VIII) ∀e∈E, SQ sub (e)= ∑ u ∈ S ( e ) cos t 2 (u,e)
IX) ∀e∈E,PC(e)= ∑ u ∈ S cost(u,e) X) ∀e∈E,PSQ(e)= ∑ u ∈ S cos t 2 (u,e)
XI) ∀e∈E,QD(e)= ∑ u ∈ S ( e ) ∑ v ∈ S ( e ) ∖ { u } cost ( u , v ) 2  
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Algorithms for Molecular Biology

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