The Expected Genus of a Random Chord Diagram
نویسندگان
چکیده
To any generic curve in an oriented surface there corresponds an oriented chord diagram, and any oriented chord diagram may be realized by a curve in some oriented surface. The genus of an oriented chord diagram is the minimal genus of an oriented surface in which it may be realized. Let gn denote the expected genus of a randomly chosen oriented chord diagram of order n. We show that gn satisfies:
منابع مشابه
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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 45 شماره
صفحات -
تاریخ انتشار 2011