کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
420659 683966 2008 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Super-simple Steiner pentagon systems
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Super-simple Steiner pentagon systems
چکیده انگلیسی

A Steiner pentagon system of order vv(SPS(v))(SPS(v)) is said to be super-simple if its underlying (v,5,2)(v,5,2)-BIBD is super-simple; that is, any two blocks of the BIBD intersect in at most two points. In this paper, it is shown that the necessary condition for the existence of a super-simple SPS(v)SPS(v); namely, v⩾5v⩾5 and v≡1v≡1 or 5(mod10) is sufficient, except for v=5v=5, 1515 and possibly for v=25v=25. In the process, we also improve an earlier result for the spectrum of super-simple (v,5,2)(v,5,2)-BIBDs, removing all the possible exceptions. We also give some new examples of Steiner pentagon packing and covering designs (SPPDs and SPCDs).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Applied Mathematics - Volume 156, Issue 5, 1 March 2008, Pages 780–793
نویسندگان
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