کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4648711 1342426 2010 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bipancyclic properties of Cayley graphs generated by transpositions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Bipancyclic properties of Cayley graphs generated by transpositions
چکیده انگلیسی

Cycle is one of the most fundamental graph classes. For a given graph, it is interesting to find cycles of various lengths as subgraphs in the graph. The Cayley graph Cay(Sn,S) on the symmetric group has an important role for the study of Cayley graphs as interconnection networks. In this paper, we show that the Cayley graph generated by a transposition set is vertex-bipancyclic if and only if it is not the star graph. We also provide a necessary and sufficient condition for Cay(Sn,S) to be edge-bipancyclic.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 310, Issue 4, 28 February 2010, Pages 748–754
نویسندگان
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