On the Number of Regular Edge Labelings
نویسندگان
چکیده
We prove that any irreducible triangulation on n vertices has O(4.6807) regular edge labelings and that there are irreducible triangulations on n vertices with Ω(3.0426) regular edge labelings. Our upper bound relies on a novel application of Shearer’s entropy lemma. As an example of the wider applicability of this technique, we also improve the upper bound on the number of 2-orientations of a quadrangulation to O(1.87).
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عنوان ژورنال:
- Discrete Mathematics & Theoretical Computer Science
دوره 16 شماره
صفحات -
تاریخ انتشار 2014