کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6423905 | 1632593 | 2011 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Rainbow k-connection in Dense Graphs (Extended Abstract)
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
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چکیده انگلیسی
An edge-colouring of a graph G is rainbow k-connected if, for any two vertices of G, there are k internally vertex-disjoint paths joining them, each of which is rainbow (i.e., all edges of each path have distinct colours). The minimum number of colours for which there exists a rainbow k-connected colouring for G is the rainbow k-connection number of G, and is denoted by rck(G). The function rck(G) was introduced by Chartrand et al. in 2008, and has since attracted considerable interest. In this note, we shall consider the function rck(G) for complete bipartite and multipartite graphs, highly connected graphs, and random graphs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Electronic Notes in Discrete Mathematics - Volume 38, 1 December 2011, Pages 361-366
Journal: Electronic Notes in Discrete Mathematics - Volume 38, 1 December 2011, Pages 361-366
نویسندگان
Shinya Fujita, Henry Liu, Colton Magnant,