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On bounds of eigenvalues of Randić vertex-degree-based adjacency matrix
- Source :
- Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics. 10:33-40
- Publication Year :
- 2018
- Publisher :
- Centre for Evaluation in Education and Science (CEON/CEES), 2018.
-
Abstract
- Let G = (V,E), V = {1,2, …, n}, be a simple graph of order n and size m, without isolated vertices. Denote by d1 ≥ d2 … ≥ dn > 0, di = d(i), a sequence of its vertex degrees. If vertices i and j are adjacent, we write i ~ j. With TI we denote a topological index that can be represented as TI = TI(G) = Σi~j F(di,dj), where F is an appropriately chosen function with the property F(x,y)=F(y,x). Randic vertex-degree-based adjacency matrix RA=(ri j) is defined as rij = Fp(di,dj) √didj, if i ~ j, and 0 otherwise. Denote by f1 ≥ f2 ≥ … ≥ fn the eigenvalues of RA. Upper and lower bounds for fi, i = 1,2, … n are obtained.
Details
- ISSN :
- 24663778 and 22175539
- Volume :
- 10
- Database :
- OpenAIRE
- Journal :
- Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics
- Accession number :
- edsair.doi...........dbd11d45d8db64fb2f63fd8156f7486c