کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8902799 | 1632247 | 2016 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Distance spectrum of Indu-Bala product of graphs
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Distance spectrum of Indu-Bala product of graphs Distance spectrum of Indu-Bala product of graphs](/preview/png/8902799.png)
چکیده انگلیسی
The D-eigenvalues μ1,μ2,â¦,μn of a graph G of order n are the eigenvalues of its distance matrix D and form the distance spectrum or D-spectrum of G denoted by SpecD(G). Let G1 and G2 be two regular graphs. The Indu-Bala product of G1 and G2 is denoted by G1â¾G2 and is obtained from two disjoint copies of the join G1â¨G2 of G1 and G2 by joining the corresponding vertices in the two copies of G2. In this paper we obtain the distance spectrum of G1â¾G2 in terms of the adjacency spectra of G1 and G2. We use this result to obtain a new class of distance equienergetic graphs of diameter 3. We also prove that the class of graphs Kn¯â¾Kn+1¯ has integral distance spectrum.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: AKCE International Journal of Graphs and Combinatorics - Volume 13, Issue 3, December 2016, Pages 230-234
Journal: AKCE International Journal of Graphs and Combinatorics - Volume 13, Issue 3, December 2016, Pages 230-234
نویسندگان
G. Indulal, R. Balakrishnan,