  Context. We present the results of a multi-year monitoring campaign of the
Galactic Center (GC) with the MAGIC telescopes. These observations were
primarily motivated by reports that a putative gas cloud (G2) would be passing
in close proximity to the super-massive black hole (SMBH), associated with
Sagittarius A*, located at the center of our galaxy. This event was expected to
give astronomers a unique chance to study the effect of in-falling matter on
the broad-band emission of a SMBH.
  Aims. We search for potential flaring emission of very-high-energy (VHE;
$\geq$100 GeV) gamma rays from the direction of the SMBH at the GC due to the
passage of the G2 object. Using these data we also study the morphology of this
complex region.
  Methods. We observed the GC region with the MAGIC Imaging Atmospheric
Cherenkov Telescopes during the period 2012-2015, collecting 67 hours of
good-quality data. In addition to a search for variability in the flux and
spectral shape of the GC gamma-ray source, we use a point-source subtraction
technique to remove the known gamma-ray emitters located around the GC in order
to reveal the TeV morphology of the extended emission inside that region.
  Results. No effect of the G2 object on the VHE gamma-ray emission from the GC
was detected during the 4 year observation campaign. We confirm previous
measurements of the VHE spectrum of Sagittarius A*, and do not detect any
significant variability of the emission from the source. Furthermore, the known
VHE gamma-ray emitter at the location of the supernova remnant G0.9+0.1 was
detected, as well as the recently discovered VHE source close to the GG radio
Arc.
