They look like they're in parallel to me. Not a huge fan of all the ring terminals just stacked up with no apparent fuses for some of them, but as far as I can, that's a parallel connection. Whether the alligator clamps are on one battery as shown or on opposing terminals as indicated by the arrows, it shouldn't really matter.
That said, I do have thoughts about the term "trickle charge" - that's a term that implies a low-current source, which should really be thought of as a battery maintainer, rather than a charger. If you heavily deplete those batteries (say 50%), then just plug them into a "trickle charger", they're going to take a LONG time to get back to full charge. Even with wet cells, undercharging isn't going to do them any favors.
Also worth checking, those do not seem to be deep-cycle batteries, but "dual purpose", which generally indicates a plate design that is not conducive to deep cycling (optimized instead for CCA). I'd be careful about cycling those batteries too deeply, lest they fail quickly.