کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4582734 1630366 2016 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On diameter of the commuting graph of a full matrix algebra over a finite field
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On diameter of the commuting graph of a full matrix algebra over a finite field
چکیده انگلیسی

It is shown that the commuting graph of a matrix algebra over a finite field has diameter at most five if the size of the matrices is not a prime nor a square of a prime. It is further shown that the commuting graph of even-sized matrices over finite field has diameter exactly four. This partially proves a conjecture stated by Akbari, Mohammadian, Radjavi, and Raja [Linear Algebra Appl. 418 (2006) 161–176].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 37, January 2016, Pages 36–45
نویسندگان
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