کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10118323 | 1632850 | 2005 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lagrangian pairs and Lagrangian orthogonal matroids
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Lagrangian orthogonal matroids are the best-behaved Coxeter matroids, except for ordinary matroids, and indeed they include ordinary matroids as a special case. Represented Lagrangian orthogonal matroids arise from n-dimensional totally orthogonal subspaces of 2n-dimensional orthogonal space, and if we take the unique pair of such subspaces which contain a given nâ1-dimensional totally isotropic subspace, we get the prototype of a Lagrangian pair of Lagrangian orthogonal matroids. In this paper we define Lagrangian pairs, and give a number of characterizations of them and prove several properties of them. We also use them to prove a new characterization, within ordinary matroid theory, of an elementary quotient of ordinary matroids.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Combinatorics - Volume 26, Issue 7, October 2005, Pages 1023-1032
Journal: European Journal of Combinatorics - Volume 26, Issue 7, October 2005, Pages 1023-1032
نویسندگان
Richard F. Booth, Alexandre V. Borovik, Neil White,