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where node t must be in appropriate separator set (t ∈ S i j ), and if |S i j | > 1, we can pick one node randomly.
Hence H = G ′ (M) Q is a minimal triangulation of G ′ (M) with minimal separator set Q (Theorem 2.6), and by Lemma 3.2, H is a proper minimal triangulation of G(M).
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The separator sets can include one or two nodes, so there exist 1-node and 2-node messages.
Since the separator sets, between each pair of the neighboring cliques, are always non-empty, the separator nodes are responsible to perform the communication.
Then we form the cluster graph (Figure 1b) with cliques C i (t, u, v) and the separator sets S i j (q, r) (S i j = C i ∩C j ), where t, u, v are the nodes in the clique, and q, r are the separator nodes.
This reaction was repeated at RIKEN using the Search for a Super-Heavy Element Using a Gas-Filled Recoil Separator set-up in 2004 to synthesize two further atoms and confirm the decay data reported by the GSI team.
The MiniMACS column and separator were set up according to manufacturers' instructions and the microbead/cell mixture added to the column.
The performance of this separator is evaluated by setting up a measurement system that enables the continuous and simultaneous recording of the charges and the masses of the separated products.
The performance of the separator is evaluated by setting up a measurement system that enables the continuous and simultaneous recording of the charges and the masses of the separated products.
A comma is used as the separator between entities in sets.
We also examined the possible effect of two different gel separators on the same set of laboratory parameters.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com