کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4646976 1342320 2015 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Homomorphisms of binary Cayley graphs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Homomorphisms of binary Cayley graphs
چکیده انگلیسی

A binary Cayley graph is a Cayley graph based on a binary group. In 1992, Payan proved that any non-bipartite binary Cayley graph must contain a generalized Mycielski graph of an odd cycle, implying that such a graph cannot have chromatic number 3.We strengthen this result first by proving that any non-bipartite binary Cayley graph must contain a projective cube as a subgraph. We further conjecture that any homomorphism of a non-bipartite binary Cayley graph to a projective cube must be surjective and we prove a special case of this conjecture.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 338, Issue 12, 6 December 2015, Pages 2539–2544
نویسندگان
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