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We present exact calculations of the zero-temperature partition function(chromatic polynomial) and the (exponent of the) ground-state entropy $S_0$ forthe $q$-state Potts antiferromagnet on families of cyclic and twisted cyclic(M\"obius) strip graphs composed of $p$-sided polygons. Our results suggest ageneral rule concerning the maximal region in the complex $q$ plane to whichone can analytically continue from the physical interval where $S_0 > 0$. Thechromatic zeros and their accumulation set ${\cal B}$ exhibit the ratherunusual property of including support for $Re(q) < 0$ and provide furtherevidence for a relevant conjecture.Comment: 7 pages, Latex, 4 figs., J. Phys. A Lett., in pres

Ground-state entropy of the Potts antiferromagnet on cyclic strip graphs