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Realizing the chromatic numbers and orders of spinal quadrangulations of surfaces
Published 8 Jul 2012 in math.CO | (1207.1882v2)
Abstract: A method is suggested for construction of quadrangulations of the closed orientable surface with given genus g and either (1) with given chromatic number or (2) with given order allowed by the genus g. In particular, N. Hartsfield and G. Ringel's results [Minimal quadrangulations of orientable surfaces, J. Combin. Theory, Series B 46 (1989) 84-95] are generalized by way of generating new minimal quadrangulations of infinitely many other genera.
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