Why look for cycles and articulation points in graphs?

Question

Data Structures

The girl in the course paper on the graph needs to answer the question: why are they looking for cycles and articulation points in graphs? Tell me, please, including with examples from real life, really, for what?

Answer 1

This is usually used when analyzing program code, analyzing technological processes, analyzing business processes. Because it is more convenient to represent any conditional process in the form of a graph for subsequent machine processing.
It all depends on which area to apply graph theory.
Even the electrical network of a city can be represented as several graphs (a graph of current connections and a graph of possible connections). Articulation points will be - distribution substations, and cycles - redundant power channels (excluding inclusion) or switching errors.
Why look for them? There was an accident - the excavator cut off the cable. To restore power, you need to turn off the emergency section and use the backup circuits. A person will do this in a few minutes, and a program in a fraction of a second. In order to programmatically rebuild the current scheme automatically in case of an accident - without causing new accidents.