This paper presents extreme ultraviolet (EUV) fluxes for 74 main-seque
nce stars observed with the Extreme Ultraviolet Explorer (EUVE). The s
ample of stars was chosen on the basis of rotational period and includ
es 23 new EUV detections. These detections are in addition to the ROSA
T WFC and EUVE catalogs and have increased the number of main-sequence
stars detected in the extreme ultraviolet by similar to 12%. We prese
nt an activity-rotation relation in the EUV and show that in a sample
of stars with different effective temperatures the Rossby number is a
better parameter for describing the levels of EUV emission as compared
to the rotational period. This is also known to be the case for the c
hromospheric emission. A comparison with the emission in the Mg II h a
nd k lines shows that saturation in the EUV occurs in lower Rossby num
bers than does chromospheric saturation, where saturation in X-rays oc
curs in the same Rossby numbers as in the EUV. The radiative losses in
the EUV are comparable to the radiative losses in X-rays. The EUVE ob
servations indicate that the low activity dM star Gl 685 has a cool co
rona with a characteristic temperature of < 2.5 x 10(6) K. A large amo
unt of the coronal radiative losses in low activity dwarfs is expected
to emerge in EUV wavelengths.