Your English writing platform
Discover LudwigExact(54)
However, in reality, we do not know the optimal hitting set.
Two closely related problems to the sensor-coverage problem are set cover and hitting set problems.
In both set cover and hitting set problems, we are given sets and elements.
It can be shown in [6] that the previous approach finds an -approximate hitting set in polynomial time for set systems with constant VC-dimension (defined below), where is the size of the optimal hitting set.
The original algorithm for solving hitting set problem using -net was invented by Brönnimann and Goodrich [6].
So, we iteratively guess its size, starting with and progressively doubling until we obtain a hitting set solution (using the above approach).
Similar(5)
Moreover, although the MCS problem has the flavor of a hitting set-, vertex cover- or edge cover problem, it is, in fact, a new problem.
However, for the case of -hitting set, when constructing a -net, we need to ensure that the number of distinct points that hit each set is at least.
The above described approach works well for 1-hitting set, partly because we do not count the number of times each set is hit.
Definition 5 ( -hitting set ( -HS)).
Let be the optimal -hitting set.
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