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      • KCI등재

        The split and non-split tree $(D,C)$-number of a graph

        P.A. Safeer,A. Sadiquali,K.R. Santhosh Kumar 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.3

        In this paper, we introduce the concept of split and non-split tree ($D,C$)- set of a connected graph $G$ and its associated color variable, namely split tree $(D,C)$ number and non-split tree $(D,C)$ number of $G$. A subset $S\subseteq V$ of vertices in $G$ is said to be a split tree $(D,C)$ set of $G$ if $S$ is a tree $(D,C)$ set and $\langle V-S\rangle$ is disconnected. The minimum size of the split tree $(D,C)$ set of $G$ is the split tree $(D,C)$ number of $G$, $\gamma_{\chi_{ST}}(G)=\min\{\vert S\vert:S\;\mbox{is a split tree}\; (D,C)\;\mbox{set}\}.$ A subset $S\subseteq V$ of vertices of $G$ is said to be a non-split tree $(D,C)$ set of $G$ if $S$ is a tree $(D,C)$ set and $\langle V-S\rangle$ is connected and non-split tree $(D,C)$ number of $G$ is $\gamma_{\chi_{NST}}(G)=\min\{\vert S\vert: S\; \mbox{is a non-split tree }\; (D,C)\;\mbox{set of $G$}\}.$ The split and non-split tree $(D,C)$ number of some standard graphs and its compliments are identified.

      • KCI등재

        Influence of Sn Doping on Photoluminescence and Photoelectrochemical Properties of ZnO Nanorod Arrays

        A. Santhosh Kumar,N. M. Huang,H. S. Nagaraja 대한금속·재료학회 2014 ELECTRONIC MATERIALS LETTERS Vol.10 No.4

        Herein, the nanostructured Sn containing ZnO is directly synthesized on the surface of substrate by modified sol gel approach under low-temperature condition. The samples are characterized by scanning electron microscopy (SEM), x-ray diffraction (XRD), Raman-scattering, photoluminescence (PL) and photoelectrochemical analyses. The SEM micrographs show that the undoped and 1 at. % Sn doped films are composed of nanorods and the concentration of 2 at. % Sn doping hinders the rod-like structure’s growth and modulates into granular nature. The investigations of XRD reveal that the synthesized undoped and Sn doped ZnO nanorods possess a perfect hexagonal growth habit of wurtzite zinc oxide, along the (002) direction of preference. The Raman spectra demonstrate that the vibrational mode of E1(LO), which is very weak in undoped and 1at. % Sn doped ZnO, is strongly enhanced with 2 at. % Sn doping into ZnO lattice. PL spectra show that strong UV emission in pure and 1 at. % Sn doped ZnO, while there is dominant green emission in 2 at. % Sn doped ZnO. Moreover, all the samples are photo electrochemically active and exhibit the highest photocurrent of 28 μA for the 1 at. % Sn doped ZnO nanorod arrays in 0.2M Na2SO4 electrolyte, on light irradiation. Time dependent photoresponse tests are carried out by measuring the photocurrent under chopped light irradiation.

      • KCI등재

        Simple 4-segment thermal cycling pyroelectric measurement protocol for differentiating between ferroelectric and non-ferroelectric materials

        Wagh Aditya A.,Bhat Shwetha G.,Anusree V.K.,Santhosh P.N.,Elizabeth Suja,Kumar P.S. Anil 한국물리학회 2023 Current Applied Physics Vol.49 No.-

        The rare-earth chromates, RECrO3 and manganites REMnO3 (RE = Eu, Y, Dy, Ho, Gd) are considered potential room temperature multiferroics. However, artefacts and undesirable signals pose a severe challenge in confirming the ferroelectric (FE) phase, especially in pyroelectric current measurement technique. We propose a simple modified approach to the technique, named as 4-segment thermal cycling protocol. This protocol assists in isolating the irreversible thermally stimulated current from those associated with spontaneous and reversible nature of the electric polarization in FE phase. Here, we have compared simulated response of two hypothetical materials; an FE material and a paraelectric material. Further, we experimentally verify the protocol in a single crystal of prototype FE material, Glycine Phosphite. Using the proposed protocol, we investigated polycrystalline materials, HoCrO3 (reported multiferroic earlier) and DyFe0.5Mn0.5O3. Our results expound on the absence of reversible spontaneous electric polarization in temperature ranges tested.

      • KCI등재

        Development of Symmetrical Fault Detection During Power Swing Based on Entropy

        Devi R.,Kirthika A.,Divya Priyadharshini M.,Ladha Akash,Anju A.,Rajesh Kumar T.,Ganesh Prabhu S.,Varghese Lijo Jacob,Santhosh P. 대한전기학회 2022 Journal of Electrical Engineering & Technology Vol.17 No.3

        This paper proposes the new technique for detecting symmetrical faults occurred during power swing. The proposed technique is simulated for the protection of two machine system, distribution system with distributed generation and WSCC 9-bus system in Matlab. Symmetrical fault detection during power swing is a critical issue. Hence, in this paper, modifi ed weighted wavelet packet entropy technique is proposed to detect symmetrical fault during power swing. This entropy criterion is applied to wavelet packet coeffi cients to enhance the energy of fault signals and to reduce the vector size of the wavelet packet transform coeffi cients. This technique provides better results irrespective of various fault locations, fault inception angle and power swing frequencies. This technique is compared with conventional scheme and the results are tabulated. Moreover, this technique is also able to detect asymmetrical faults with high impedance during power swing. Mathematical derivation support system performance through simulation.

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