کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4649601 1342461 2009 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Odd-K4K4’s in stability critical graphs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Odd-K4K4’s in stability critical graphs
چکیده انگلیسی

A subdivision of K4K4 is called an odd-K4K4 if each triangle of the K4K4 is subdivided to form an odd cycle, and is called a fully odd-K4K4 if each of the six edges of the K4K4 is subdivided into a path of odd length. A graph GG is called stability critical if the deletion of any edge from GG increases the stability number. In 1993, Sewell and Trotter conjectured that in a stability critical graph every triple of edges which share a common end is contained in a fully odd-K4K4. The purpose of this note is to show that such a triple is contained in an odd-K4K4.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 309, Issue 20, 28 October 2009, Pages 5982–5985
نویسندگان
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