کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5773229 1631079 2017 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The number of distinct eigenvalues for which an index decreases multiplicity
ترجمه فارسی عنوان
تعدادی از مقادیر مشخص مجزا که شاخص آن چندگانگی را کاهش می دهد
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
For an Hermitian matrix A whose graph is a tree T, we study the number of eigenvalues of A whose multiplicity decreases when a particular vertex is deleted from T. Explicit results are given when that number of eigenvalues is less than 4 and an inductive result thereafter. The work is based, in part, on classical results about multiplicities, but also on some new facts, including a useful identity. This allows us to give strong bounds based on simple facts about the location of the vertex in the tree. Some facts about matrices whose graphs are not trees are included, and the classical diameter bound about the number of distinct eigenvalues for a tree follows.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 516, 1 March 2017, Pages 8-23
نویسندگان
, , ,