کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
414240 680855 2014 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Making triangulations 4-connected using flips
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Making triangulations 4-connected using flips
چکیده انگلیسی

We show that any combinatorial triangulation on n   vertices can be transformed into a 4-connected one using at most ⌊(3n−9)/5⌋⌊(3n−9)/5⌋ edge flips. We also give an example of an infinite family of triangulations that requires this many flips to be made 4-connected, showing that our bound is tight. In addition, for n⩾19n⩾19, we improve the upper bound on the number of flips required to transform any 4-connected triangulation into the canonical triangulation (the triangulation with two dominant vertices), matching the known lower bound of 2n−152n−15. Our results imply a new upper bound on the diameter of the flip graph of 5.2n−33.65.2n−33.6, improving on the previous best known bound of 6n−306n−30.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Geometry - Volume 47, Issue 2, Part A, February 2014, Pages 187–197
نویسندگان
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