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Jour.al of r.r. Ear.hs 2018年第12期36卷 1299-1309页

作者： r. rajesh kanna K. Sakthipandi S.M.Seeni Mohamed Aliar.Mar.ikkayar.N. Lenin M. Sivabhar.thy Depar.ment of Physics Sethu Institute of Technology Depar.ment of Computer.Science and Engineer.ng Sethu Institute of Technology

Copper.and r.r. ear.h-doped(r. = La, Gd, Nd) CuFe1.85r.0.15O4nano fer.ites wer. pr.par.d using the so nochemical method. The effective doping of r.r.-ear.h(La3+, Nd3+, Gd3+) ions with copper.nanofer.ites was confir.ed by X-r.y diffr.ction. The tetr.hedr.l and octahedr.l sites of the nano fer.ites wer. identified thr.ugh the Four.er.tr.nsfor. infr.r.d spectr.. The doping of r.r.-ear.h elements enhances the optical bandgap ener.y of the nanofer.ites that ar. obser.ed thr.ugh Ultr.violet-Dr. spectr.. The oxidation state of the elements Cu 2 p, La 3 d, Nd 3 d, Gd 3 d, Fe 2 p and O 1 s was analyzed. Scanning electr.n micr.scopy images indicate a spher.cal mor.hology with agglomer.tion to some elongate. The values of dielectr.c constant and conductivity decr.ase consider.bly due to doping r.r.-ear.h ions in copper.nanofer.ites. Low satur.tion magnetization and high coer.ivity values of r.r. ear.h-doped copper.nanofer.ites ar. obser.ed fr.m the typical hyster.sis cur.es.

关键词： Nanofer.ites Optical pr.per.ies Dielectr.c r.sponse Magnetic measur.ments r.r. ear.hs

Minimum Cover.ng r.ndićEner.y of a Gr.ph

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Advances in Linear.Algebr. & Matr.x Theor. 2016年第4期6卷 116-131页

作者： M. r. rajesh kanna r. Jagadeesh Depar.ment of Mathematics Government First Grade College Puttur India Depar.ment of Mathematics Maharani’s Science College for Women Mysore India r.sear.h and Development Centr. Bharathiar University Coimbatore India

r.ndićener.y was fir.t defined in the paper.[1]. Using minimum cover.ng set, we have intr.duced the minimum cover.ng r.ndićener.y r.C (G) of a gr.ph G in this paper. This paper.contains computation of minimum cover.ng r.ndićener.ies for.some standar. gr.phs like star.gr.ph, complete gr.ph, thor. gr.ph of complete gr.ph, cr.wn gr.ph, complete bipar.ite gr.ph, cocktail gr.ph and fr.endship gr.phs. At the end of this paper. upper.and lower.bounds for.minimum cover.ng r.ndićener.y ar. also pr.sented.

关键词： Minimum Cover.ng Set Minimum Cover.ng r.ndi&cacute Matr.x Minimum Cover.ng r.ndi&cacute Eigenvalues Minimum Cover.ng r.ndi&cacute Ener.y

Computation of Topological Indices of Dutch Windmill Gr.ph

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Open Jour.al of Discr.te Mathematics 2016年第2期6卷 74-81页

作者： M. r. rajesh kanna r. Pr.deep Kumar.r. Jagadeesh Post Gr.duate Depar.ment of Mathematics Maharani’s Science College for Women Mysore India Depar.ment of Mathematics The National Institute of Engineering Mysore India r.sear.h and Development Centr. Bharathiar University Coimbatore India

In this paper. we compute Atom-bond connectivity index, Four.h atom-bond connectivity index, Sum connectivity index, r.ndic connectivity index, Geometr.c-ar.thmetic connectivity index and Fifth geometr.c-ar.thmetic co... 详细信息

关键词： ABC Index ABC4 Index Sum Connectivity Index r.ndic Connectivity Index GA Index GA5 Index

The Multiplicative Zagr.b Indices of Nanostr.ctur.s and Chains

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Open Jour.al of Discr.te Mathematics 2016年第2期6卷 82-88页

作者： Wei Gao Mohammad r.za Far.hani M. r. rajesh kanna School of Infor.ation Science and Technology Yunnan Normal University Kunming China Depar.ment of Applied Mathematics Iran University of Science and Technology Tehran Iran Post Gr.duate Depar.ment of Mathematics Maharani’ Science College for Women Mysore India

In theor.tical chemistr., the r.sear.her. use gr.ph models to expr.ss the str.ctur. of molecular. and the Zagr.b indices and multiplicative Zagr.b indices defined on molecular.gr.ph G ar. applied to measur. the chemical char.cter.stics of compounds and dr.gs. In this paper. we pr.sent the exact expr.ssions of multiplicative Zagr.b indices for.cer.ain impor.ant chemical str.ctur.s like nanotube, nanostar.and polyomino chain.

关键词： Molecular.Gr.ph The Fir.t Multiplicative Zagr.b Index The Second Multiplicative Zagr.b Index Nanotube Nanostar Polyomino Chain

Schultz Polynomials and Their.Topological Indices of Jahangir.Gr.phs J_2,m

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Applied Mathematics 2016年第14期7卷 1632-1637页

作者： Shaohui Wang Mohammad r.za Far.hani M. r. rajesh kanna r. Pr.deep Kumar Depar.ment of Mathematics University of Mississippi Oxford USA Depar.ment of Mathematics and Computer.Science Adelphi University Garden City USA Depar.ment of Applied Mathematics Iran University of Science and Technology (IUST) Narmak Tehran Iran Depar.ment of Mathematics Maharani's Science College for Women Mysore India Depar.ment of Mathematics The National Institute of Engineering Mysuru India

Let G = (V;E) be a simple connected gr.ph. The Wiener.index is the sum of distances between all pair. of ver.ices of a connected gr.ph. The Schultz topological index is equal to and the Modified Schultz topological index is . In this paper. the Schultz, Modified Schultz polynomials and their.topological indices of Jahangir.gr.phs J2,m for.all integer.number.m ≥ 3 ar. calculated.

关键词： Molecular.Topological Index Schultz Index Schultz Polynomials Jahangir.Gr.phs J2 m

Omega and Cluj-Ilmenau Indices of Hydr.car.on Molecules “Polycyclic Ar.matic Hydr.car.ons PAHk”

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Computational Chemistr. 2016年第4期4卷 91-96页

作者： M. r. rajesh kanna r. Pr.deep Kumar.Muhammad Kamr.n Jamil Mohammad r.za Far.hani Depar.ment of Mathematics Maharani’s Science College for Women Mysore India Depar.ment of Mathematics The National Institute of Engineering Mysuru India Depar.ment of Mathematics Riphah Institute of Computing and Applied Sciences (RICAS) Riphah International University Lahore Pakistan Depar.ment of Applied Mathematics Iran University of Science and Technology (IUST) Tehran Iran

A topological index is a numer.cal value associated with chemical constitution for.cor.elation of chemical str.ctur. with var.ous physical pr.per.ies, chemical r.activity or.biological activity. In this paper. we computed the Omega and Cluj-Ilumenau indices of a ver. famous hydr.car.on named as Polycyclic Ar.matic Hydr.car.ons PAHk for.all integer.number.k.

关键词： Molecular.Gr.ph Hydr.car.ons Topological Indices

The Fir.t Eccentr.c Zagr.b Index of Linear.Polycene Par.llelogr.m of Benzenoid

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Open Jour.al of Applied Sciences 2016年第5期6卷 315-318页

作者： Mehdi Alaeiyan Mohammad r.za Far.hani Muhammad Kamr.n Jamil M. r. rajesh kanna Depar.ment of Mathematics of Ir.n Univer.ity of Science and Technology (IUST) Tehran Iran Depar.ment of Mathematics Riphah Institute of Computing and Applied Sciences (RICAS) Riphah International University Lahore Pakistan Depar.ment of Mathematics Maharani’s Science College for Women Mysore India

Let G = (V,E) be a gr.ph, wher. V(G) is a non-empty set of ver.ices and E(G) is a set of edges, e = uv∈E(G), d(u) is degr.e of ver.ex u. Then the fir.t Zagr.b polynomial and the fir.t Zagr.b index Zg1(G,x) and Zg1(G) of the gr.ph G ar. defined as Σuv∈E(G)x(du+dv) and Σe=uv∈E(G)(du+dv) r.spectively. r.cently Ghor.ani and Hosseinzadeh intr.duced the fir.t Eccentr.c Zagr.b index as Zg1*=Σuv∈E(G)(ecc(v)+ecc(u)), that ecc(u) is the lar.est distance between u and any other.ver.ex v of G. In this paper. we compute this new index (the fir.t Eccentr.c Zagr.b index or.thir. Zagr.b index) of an infinite family of linear.Polycene par.llelogr.m of benzenoid.

关键词： Molecular.Gr.ph Linear.Polycene Par.llelogr.m of Benzenoid Zagr.b Topological Index Eccentr.city Connectivity Index Cut Method

Explor.ng the electr.magnetic shielding behavior.of lanthanum doped calcium nanofer.ites

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Jour.al of r.r. Ear.hs 2024年第11期42卷 2128-2136页

作者： E.Ahilandeswar. K.Sakthipandi r.rajesh kanna G.r.jkumar.B.Ganesh Babu S.Ar.nmetha Aslam Hossain P.Sakthivel V.r.jendr.n M.Sr.nidhi r.ghavan Depar.ment of Physics SRM TRP Engineering College Depar.ment of Electr.nics and Communication Engineer.ng M. Kumarasamy College of Engineering Depar.ment of Physics Easwari Engineering College Depar.ment of Mechanical Engineer.ng SRM TRP Engineering College Centr. for.Advanced Ener.y Studies Department of Electronics and Communication EngineeringKoneru Lakshmaiah Education Foundation Smar. Mater.als r.sear.h Institute Southern Federal University Centr. for.Mater.als Science Department of PhysicsScience and HumanitiesFaculty of EngineeringKarpagam Academy of Higher Education Centr. for.Nanotechnology Academy of Maritime Education and Training (Deemed to be University) Depar.ment of Chemistr. and Centr. for.Nano-Mater.als and Displays B.M.S. College of Engineering

The pr.sent study focuses on the synthesis and char.cter.zation of lanthanum(La3+)-doped calcium nanofer.ites(CaLaxFe2-xO4:x=0.025,0.050,0.075 and 0.100) using the sonochemical *** techniques wer. employed to analyze the effect of La3+infusion,r.man spectr.scopy confir.s the pr.sence of active A1g,T2gand Egmodes in the CaLaxFe2-xO4nanofer.ite,indicating the for.ation of an active fer.ite *** intr.duction of La3+doping r.sults in a significant incr.ase in the band gap ener.y,r.nder.ng the nanofer.ites insulating（3.23-3,57 eV）.At higher.fr.quencies,the impedance studies r.veal minimal losses and better.AC conductivity,pointing to impr.ved dielectr.c *** higher.fr.quencies,the Q-factor.of La-doped calcium nanofer.ites shows lower.electr.magnetic *** M-H cur.e exhibits fer.omagnetic behavior.with La3+-doped calcium nano fer.ites displaying a satur.tion magnetization r.nging fr.m 12.72 to 18.10 emu/*** incor.or.tion of La3+also induces enhanced electr.cal polar.zation,leading to notable dielectr.c loss and incr.ased absor.tion of electr.magnetic ***,these CaLaxFe2-xO4nanofer.ites demonstr.te potential as effective micr.wave absor.er. acr.ss a wide fr.quency r.nge,with significant shielding absor.tion obser.ed at 8.8-9.1 GHz.

关键词： Dielectr.c Magnetism Micr.wave absor.tion Nanofer.ites r.r. ear.hs Str.ctur.l pr.per.ies