Map operations and k-orbit maps
نویسندگان
چکیده
A k-orbit map is a map with k flag-orbits under the action of its automorphism group. We give a basic theory of k-orbit maps and classify them up to k 6 4. “Hurwitz-like” upper bounds for the cardinality of the automorphism groups of 2orbit and 3-orbit maps on surfaces are given. Furthermore, we consider effects of operations like medial and truncation on k-orbit maps and use them in classifying 2-orbit and 3-orbit maps on surfaces of small genus. MSC (2000): Primary: 51M20; Secondary: 05C10, 05C30, 52B70.
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 117 شماره
صفحات -
تاریخ انتشار 2010