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Centroidal mean labeling of graphs-II
R. SAMPATHKUMAR,K. M. Nagaraja,G. Narasimhan,M. H. Ambika 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.2
In this paper the Centroidal mean labeling of graphs such as triangu- lar snake Tn K1, double triangular snake Dn(Tn) K1, TLn K1, the graph obtained by attaching pendent edges to both sides of each vertex of a path Pn; attaching paths of lengths 0; 1; 2; 3; : : : ; n - 1 on both sides of each vertex of Pn; D2(Pn); Middle graph of path Pn; Total graph of path Pn; Splitting graph of path Pn and Duplicating each vertex by an edge in path Pn are discussed.
ON CERTAIN ENERGIES OF A ONE-POINT UNION OF COMPLETE GRAPHS Kn Κn
E. Sampathkumar,R. BHARATI,K. SATHISH,SUDEEP STEPHEN 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.1
The eigenvalues of a graph G are the eigenvalues of its adjacency matrix. The energy of the graph is defined as the sum of the absolute values of all its eigenvalues. In this paper we compute different energies of a one-point union of m copies of complete graphs on n vertices.
SCHUR CONVEXITIES OF rth OSCILLATORY MEAN AND ITS DUAL
K. M. Nagaraja,R. SAMPATHKUMAR 장전수학회 2014 Proceedings of the Jangjeon mathematical society Vol.17 No.3
In this paper, we study the dierent kinds of Schur , Schur Geometric and Schur Harmonic Convexity(Concavity) of Oscillatory mean, rth Oscillatory mean and their duals.
Schur convexities of ratio of one parameter power exponential mean and its invariant
K. M. Nagaraja,R. Sampathkumar,G. D. Chethankumar,P. Dhanya 장전수학회 2023 Proceedings of the Jangjeon mathematical society Vol.26 No.2
Schur convexities of ratio of one parameter power exponential mean and its invariant
INEQUALITIES FOR THE ARGUMENTS LYING ON LINEAR AND CURVED PATH
( K. M. Nagaraja ),( Serkan Araci ),( V. Lokesha ),( R. Sampathkumar ),( T. Vimala ) 호남수학회 2020 호남수학학술지 Vol.42 No.4
The mathematical proof for establishing some new in- equalities involving arithmetic, geometric, harmonic means for the arguments lying on the paths of triangular wave function (linear) and new parabolic function (curved) over the interval (0; 1) are dis- cussed. The results representing an extension as well as strength-ening of Ky Fan Type inequalities.