  We present a new observational campaign, DWARF, aimed at detection of
circumbinary extrasolar planets using the timing of the minima of low-mass
eclipsing binaries. The observations will be performed within an extensive
network of relatively small to medium-size telescopes with apertures of ~20-200
cm. The starting sample of the objects to be monitored contains (i) low-mass
eclipsing binaries with M and K components, (ii) short-period binaries with sdB
or sdO component, and (iii) post-common-envelope systems containing a WD, which
enable to determine minima with high precision. Since the amplitude of the
timing signal increases with the orbital period of an invisible third
component, the timescale of project is long, at least 5-10 years. The paper
gives simple formulas to estimate suitability of individual eclipsing binaries
for the circumbinary planet detection. Intrinsic variability of the binaries
(photospheric spots, flares, pulsation etc.) limiting the accuracy of the
minima timing is also discussed. The manuscript also describes the best
observing strategy and methods to detect cyclic timing variability in the
minima times indicating presence of circumbinary planets. First test
observation of the selected targets are presented.
