کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4648316 1342406 2012 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Six signed Petersen graphs, and their automorphisms
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Six signed Petersen graphs, and their automorphisms
چکیده انگلیسی

Up to switching isomorphism, there are six ways to put signs on the edges of the Petersen graph. We prove this by computing switching invariants, especially frustration indices and frustration numbers, switching automorphism groups, chromatic numbers, and numbers of proper 1-colorations, thereby illustrating some of the ideas and methods of signed graph theory. We also calculate automorphism groups and clusterability indices, which are not invariant under switching. In the process, we develop new properties of signed graphs, especially of their switching automorphism groups.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 312, Issue 9, 6 May 2012, Pages 1558–1583
نویسندگان
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