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ISOMETRIES IN PROBABILISTIC 2-NORMED SPACES
F. Rahbarnia,조열제,R. Saadati,Gh.Sadeghi 충청수학회 2009 충청수학회지 Vol.22 No.4
The classical Mazur-Ulam theorem states that every surjective isometry between real normed spaces is affine. In this paper, we study 2-isometries in probabilistic 2-normed spaces.
THE VERTEX AND EDGE PI INDICES OF GENERALIZED HIERARCHICAL PRODUCT OF GRAPHS
Tavakoli, M.,Rahbarnia, F. The Korean Society for Computational and Applied M 2013 Journal of applied mathematics & informatics Vol.31 No.3
Pattabiraman and Paulraja [K. Pattabiraman, P. Paulraja, Vertex and edge PI indices of the generalized hierarchical product of graphs, Discrete Appl. Math. 160 (2012) 1376- 1384] obtained exact formulas for the vertex and edge PI indices of generalized hierarchical product of graphs. The aim of this note is to improve the main results of this paper.
SOME NEW RESULTS ON IRREGULARITY OF GRAPHS
Tavakoli, M.,Rahbarnia, F.,Ashra, A.R. The Korean Society for Computational and Applied M 2014 Journal of applied mathematics & informatics Vol.32 No.5
Suppose G is a simple graph. The irregularity of G, irr(G), is the summation of imb(e) over all edges $uv=e{\in}G$, where imb(e) = |deg(u)-deg(v)|. In this paper, we investigate the behavior of this graph parameter under some old and new graph operations.
The Vertex and Edge PI Indices of Generalized Hierarchical Product of Graphs
Mostafa Tavakoli,Fereydon Rahbarnia 한국전산응용수학회 2013 Journal of applied mathematics & informatics Vol.31 No.3
Pattabiraman and Paulraja [K. Pattabiraman, P. Paulraja,Vertex and edge PI indices of the generalized hierarchical product of graphs,Discrete Appl. Math. 160 (2012) 1376- 1384] obtained exact formulas forthe vertex and edge PI indices of generalized hierarchical product of graphs. The aim of this note is to improve the main results of this paper.
SOME NEW RESULTS ON IRREGULARITY OF GRAPHS
Mostafa Tavakoli,Fereydon Rahbarnia,Ali Reza Ashrafi 한국전산응용수학회 2014 Journal of applied mathematics & informatics Vol.32 No.5
Suppose G is a simple graph. The irregularity of G, irr(G), is the summation of imb(e) over all edges uv = e ∊ G, where imb(e) = │deg(u) -deg(v)j│. In this paper, we investigate the behavior of this graph parameter under some old and new graph operations. Suppose G is a simple graph. The irregularity of G, irr(G), is the summation of imb(e) over all edges uv = e ∊ G, where imb(e) = │deg(u) -deg(v)j│. In this paper, we investigate the behavior of this graph parameter under some old and new graph operations. .