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Table 4 Order of calculation time and memory space for cell–cell interaction (CCI) identification

From: Sctensor detects many-to-many cell–cell interactions from single cell RNA-sequencing data

Method

Calculation time

Memory space

Sum/product score

\(\mathcal {O}(N^{2}L)\)

\(\mathcal {O}(N^{2}L)\)

Permutation test of sum/product score

\(\mathcal {O}(N^{2}LP)\)

\(\mathcal {O}(N^{2}L)\)

Halpern’s score

\(\mathcal {O}(N^{2}L)\)

\(\mathcal {O}(N^{2}L)\)

Permutation test of Halpern’s score

\(\mathcal {O}(N^{2}LP)\)

\(\mathcal {O}(N^{2}L)\)

Cabello \(\mathrm {-}\) Aguilar’s score

\(\mathcal {O}(N^{2}L)\)

\(\mathcal {O}(N^{2}L)\)

Permutation test of Cabello \(\mathrm {-}\) Aguilar’s score

\(\mathcal {O}(N^{2}LP)\)

\(\mathcal {O}(N^{2}L)\)

Previous scTensor (NTD-3)

\(\mathcal {O}(N^{2}L(R1+R2+R3))\)

\(\mathcal {O}(N^{2}L)\)

scTensor (NTD-2)

\(\mathcal {O}(N^{2}L(R1+R2))\)

\(\mathcal {O}(N^{2}L)\)