کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4648287 1342404 2012 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the minimum number of edges of two-connected graphs with given diameter
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
On the minimum number of edges of two-connected graphs with given diameter
چکیده انگلیسی

We answer the following question: what is the minimum number of edges of a 2-connected graph with a given diameter? This problem stems from survivable telecommunication network design with grade-of-service constraints. In this paper, we prove tight bounds for 2-connected graphs and for 2-edge-connected graphs. The bound for 2-connected graphs was a conjecture of B. Bollobás (AMH 75–80) [3].


► We introduce the notion of peri-eccentricity which relates the trail decomposition of lobes to the diameter a graph.
► We give a tight minimum bound for the number of edges of a 2-connected graph with given diameter.
► We prove a tight minimum bound for the number of edges of a 2-edge-connected graph with given diameter.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 312, Issue 4, 28 February 2012, Pages 757–762
نویسندگان
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