Your English writing platform
Discover LudwigExact(9)
Therefore, all of these endpoints will be contained in one connected component K B of the graph induced by blue edges, which in particular connects all the vertices from T.
Thus, if we ensure that the forbidden vertices remain in one connected component of G after deleting an arbitrary set of allowed vertices, then we also ensure that the whole graph remains connected.
Consequently, Property 1 is proved by Theorem 1 and Theorem 2. Using Theorem 1, we prove Property 2 as follows: of Property 2 Based on the Theorem 1, the nodes in I o reside in one connected component.
This means that all infected nodes are in one connected component.
To prove the correctness of the properties, we state and prove the following theorems: In the SI model, all infected nodes reside in one connected component.
If multiple sources exist, infected nodes can be present in multiple connected components; thus, a partially observed set of infected nodes is not guaranteed to reside in one connected component.
Similar(51)
Yale has erected only two new science buildings in the last 30 years, one connected to the medical school and the other for a structural biology center.
The arterial line was divided in two branches, one connected to a PiCCOplus device (PiCCOplus v6.0; Pulsion Medical Systems, Munich, Germany), and the other one connected to a FloTrac/Vigileo device (FloTrac/Vigileo v1.10; Edwards Lifesciences, Irvine, CA).
A rainbow of thin wires were tangled up in his matted hair, each one connected to a small probe that would measure the electrical activity in his brain.
If Coventry University today is a far cry from the Lanchester Polytechnic that Latham joined in 1979, the one connecting thread is the focus on the real-world application of knowledge.
Plug in AC power, one connecting cord to the TV and you're done!
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com