Is there a “map” of the interplanetary transport network?

Question

To my understanding, the idea behind the interplanetary transport network is that areas near heavy objects and their Lagrange points are accesible with comparatively little energy, for example one could more easily leave low earth orbit via one of the Earth-Moon Lagrange points.

I'm looking for a feeling about what "little energy" and "long travel times" might mean quantitatively.

Now, I understand there'll be no map of the then possible, ever shifting paths around the solar system - but is there some list of sample missions? (Is that the term?)

The papers I skimmed seemd to be very daunting on the math front. Are there easy rules to guesstimate the $\Delta V$ requirements if a probe hops from e.g. from low Earth orbit to L1 to away from the earth-moon system? With what velocity?

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Answer 1

Something like this, along with the associated article on Wikipedia, might help:

And if you "learn by doing" and are willing to have a bit of fun while you develop a sense of the "map" there's a boardgame (of all things) that treats this topic fairly accurately (at least if what you're looking for is some intuition about how the $\Delta\text{V}$ map feels in the context of space travel):

And NASA provides a "trajectory browser" that provides some of the same information which, though not in "map" form, is customizable to just about any "route" you can imagine.