کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6416158 | 1631102 | 2016 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Relation between signless Laplacian energy, energy of graph and its line graph
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The energy of a simple graph G, E(G), is the sum of the absolute values of the eigenvalues of its adjacency matrix. The energy of line graph and the signless Laplacian energy of graph G are denoted by E(LG) (LG is the line graph of G) and LE+(G), respectively. In this paper we obtain a relation between E(LG) and LE+(G) of graph G. From this relation we characterize all the graphs satisfying E(LG)=LE+(G)+4mnâ4. We also present a relation between E(G) and E(LG). Moreover, we give an upper bound on E(LG) of graph G and characterize the extremal graphs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 493, 15 March 2016, Pages 91-107
Journal: Linear Algebra and its Applications - Volume 493, 15 March 2016, Pages 91-107
نویسندگان
Kinkar Ch. Das, Seyed Ahmad Mojallal,