کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4668517 1633882 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Triangle-free graphs which are minimal for some nonstable 4-vertex subset
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Triangle-free graphs which are minimal for some nonstable 4-vertex subset
چکیده انگلیسی

In a graph GG, a module   is a vertex subset MM such that every vertex outside MM is adjacent to all or none of MM. A graph GG is prime   if ϕϕ, the single-vertex sets, and V(G)V(G) are the only modules in GG. A prime graph GG is kk-minimal   if there is some kk-set UU of vertices such that no proper induced subgraph of GG containing UU is prime.Cournier and Ille in 1998 characterized the 1-minimal and 2-minimal graphs. Recently, Alzohairi and Boudabbous characterized 3-minimal triangle-free graphs. We characterize the triangle-free graphs which are minimal for some nonstable 4-vertex subset.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Arab Journal of Mathematical Sciences - Volume 21, Issue 2, July 2015, Pages 159–169
نویسندگان
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