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These 21 subgraphs or modules are densely connected groups of glycans, with only sparser connections between groups.
Community structure in networks means the appearance of densely connected groups of vertices, with only sparser connections between groups [ 39].
The general problem of which the necklace problem is a special case was solved by the Hungarian-born U.S. mathematician George Polya in a famous 1937 memoir in which he established connections between groups, graphs, and chemical bonds.
Since the strength of a memory seems to depend on the strength of connections between groups of nerve cells, the infuriating fallibility of memory may be a necessary consequence of retaining the ability to overwrite what you know when you discover that it is no longer correct.
For example, scientific collaboration networks represent the connections between (groups of) scientists based on the papers they have published together [7].
Connections between groups would not be as dense as those inside the groups, which means that there would not be enough information on the behavior of one group regarding its neighbors to constrain them as it seems to happen with individual researchers inside their communities.
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This 'always-on' connection between groups of people is what social media is really good at.
In tree diagrams, the connection between groups remains in the image the entire time the viewer is looking at it, while in the DEM the connection between groups is more ephemeral, and based on movement rather than a persistent visual connection.
On the connection between groups and equivalence classes, when generalized to groupoids, and, in general, for a discussion of the relation between the concept of symmetry and its formalisms, see Guay and Hepburn (2009).
Thus, it is important to consider group structure (within a definable crime group) and market structure (connections between different groups in a distribution chain) independently it is possible that within group structure can be hierarchical even when the market as a whole exhibits the properties of a loosely connected network.
The existence of modules, marked by the occurrence of groups of densely connected nodes with relatively fewer connections between these groups [8], provides a natural meso-level description of many complex systems [9].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com