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(mathrm{EGD}=0) for a fully disconnected network without any edge (i.e., (s=0)).
For a fully disconnected system, it is defined that (mathrm{NEGD}=0).
A fully disconnected G( V, E) of n nodes comprised n components, each of which has one node.
(mathrm{NEMS}=0) for a fully disconnected G( V, E) and (mathrm{NEMS}=1) for a clique.
It is instructive to consider this degenerate case since in the limit of weak connections (β → 0), any graph becomes equivalent to a fully disconnected graph.
(mathrm{NEMS}) approaches one as n increases when G VV, E) comprised a clique of (n-1) nodes and a fully disconnected node.
Similar(51)
The key to being more fully absorbed is to regularly and fully disconnect.
Since a clique has the highest diffusion speed and G VV, E) does not have any fully connected node, G VV, E) has the highest diffusion speed if it comprised a clique with the maximum order (n-1), and a single fully disconnected node; If G VV, E) does not have any edge (i.e., (mathrm{LGD}=0)), (mathrm{NEMS}=0); and.
A two-node network may either be fully disconnected, weakly connected or fully connected.
(mathrm{NEMS}) approaches zero as n increases when G VV, E) comprised a chain of (mathrm{LGD}+1) nodes, and (n-( {mathrm{LGD}+1})) fully disconnected nodes.
G VV, E) has the lowest diffusion speed if it comprised a chain structure (with minimum component size (mathrm{LGD}+1)) and other fully disconnected nodes.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com