Realizing the Chromatic Numbers and Orders of Spinal Quadrangulations of Surfaces

نویسنده

  • Serge Lawrencenko
چکیده

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 [J. Comb. Theory, Ser. B 46 (1989), 84-95] are generalized by way of generating minimal quadrangulations of infinitely many other genera.

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تاریخ انتشار 2014