کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8897750 | 1631041 | 2018 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Degree-based energies of graphs
ترجمه فارسی عنوان
انرژی بر اساس درجه برآمده از نمودار
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
Let G=(V,E) be a simple graph of order n and size m, with vertex set V(G)={v1,v2,â¦,vn}, without isolated vertices and sequence of vertex degrees Î=d1â¥d2â¥â¯â¥dn=δ>0, di=dG(vi). If the vertices vi and vj are adjacent, we denote it as vivjâE(G) or iâ¼j. With TI we denote a topological index that can be represented as TI=TI(G)=âiâ¼jF(di,dj), where F is an appropriately chosen function with the property F(x,y)=F(y,x). A general extended adjacency matrix A=(aij) of G is defined as aij=F(di,dj) if the vertices vi and vj are adjacent, and aij=0 otherwise. Denote by fi, i=1,2,â¦,n the eigenvalues of A. The “energy” of the general extended adjacency matrix is defined as ETI=ETI(G)=âi=1n|fi|. Lower and upper bounds on ETI are obtained. By means of the present approach a plethora of earlier established results can be obtained as special cases.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 554, 1 October 2018, Pages 185-204
Journal: Linear Algebra and its Applications - Volume 554, 1 October 2018, Pages 185-204
نویسندگان
Kinkar Ch. Das, Ivan Gutman, Igor MilovanoviÄ, Emina MilovanoviÄ, Boris Furtula,