کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4649261 1342447 2010 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A duality between pairs of split decompositions for a QQ-polynomial distance-regular graph
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
A duality between pairs of split decompositions for a QQ-polynomial distance-regular graph
چکیده انگلیسی

Let ΓΓ denote a QQ-polynomial distance-regular graph with diameter D≥3D≥3 and standard module VV. Recently, Ito and Terwilliger introduced four direct sum decompositions of VV; we call these the (μ,ν)(μ,ν)-split decompositions   of VV, where μ,ν∈{↓,↑}μ,ν∈{↓,↑}. In this paper we show that the (↓,↓↓,↓)-split decomposition and the (↑,↑↑,↑)-split decomposition are dual with respect to the standard Hermitian form on VV. We also show that the (↓,↑↓,↑)-split decomposition and the (↑,↓↑,↓)-split decomposition are dual with respect to the standard Hermitian form on VV.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 310, Issue 12, 28 June 2010, Pages 1828–1834
نویسندگان
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