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When we create the reference set as described in Section 3.2, we also record the alignment of each (r i, d) pair (r i ∈ R).
It was worth notice that RAD23C - RAD23 D pair, an ancient duplication event, retained the same gene structure but RAD23C - RAD23A differ in their gene structure.
For each (q, d) pair, we compute UB q, d) and LB q, d) using the precomputed alignments of each r i with d, and the alignments of each r i with q.
(D ) Pair auto- and cross-correlation function of HC (auto, green), EnC (auto, pink), HC ⋆ EnC (blue), and permutated (gray) images to investigate the spatial relationship between HC and EnC regions in single cells.
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Suppose a network with a single S-D pair and no interference.
So, each S-D pair hopping through it can use one mini-slot. .
We continue the process until no S-D pair ID is left.
For each S-D pair, we define the induced subgraph by removing all other S-D pairs and the links that are not on a path between the chosen S-D pair.
Moreover, for S-D pair i, we denote the maximum achievable rate with full network knowledge by C i.
Each origin-destination (O-D) pair w is connected by a set of paths (routes) represented by (K_{w}).
We consider the case when between each O-D pair there is a set of admissible paths through which the flows realizing the demand may be routed.
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