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Nivetha, V.
- Odd Factor Decomposition of E-Super Magic Graphs
Authors
1 Department of Mathematics, Vellalar College for Women, Erode – 638 012, Tamilnadu, IN
Source
ScieXplore: International Journal of Research in Science, Vol 3, No 2 (2016), Pagination: 47-52Abstract
An F-magic labeling in an F-decomposable graph G of order p and size q is a bijection f :V (G)∪ E(G)→{1,2....p + q} such that for every copy F in the decomposition, ΣVeV(F)f(v) + Σe∈E(F)f(e) is constant. The function f is said to be F-E super magic if f (E(G)) = {1,2,....q}. This article contains, a necessary and some sufficient conditions for some even regular and odd regular graphs G to have an (2k +1) - factor E-super magic decomposition, for k ≥1.Keywords
F-Decomposable Graph, F-E Super Magic Labeling, (2k + 1)-Factor E-Super Magic Decomposition of Graphs.References
- Andrews W S. Magic Squares and Cubes. Dover. 1960.
- Marr A M. and Wallis W D. Magic Graphs. Second Edition. Boston: Birkhauser-Basel; 2013. https://doi.org/10.1007/9780-8176-8391-7
- Gallian J A. A Dynamic Survey of Graph Labeling. The Electronic Journal of Combinatorics. 2009; 16: DS6
- MacDougall J A, Miller M, Slamin, Wallis W D. Vertex Magic Total Labeling of Graphs. Util.Math. 2002; 61: 3–21.
- Marimuthu G, Balakrishnan M. E-Super Vertex Magic Labeling Of Graphs. Discrete Appl. Math. 2012; 160: 1766– 74. https://doi.org/10.1016/j.dam.2012.03.016
- Petersen J. Die Theories Der Regularen Graphs. Acta Math.1891; 15: 193–220. https://doi.org/10.1007/BF02392606
- Sedlacek J. On Magic Graphs. Mathematica Slovaca. 1976; 26: 329–335.
- Subbiah S P, Pandimadevi J. H-E Super Magic Decomposition of Graphs. Electronic Journal of Graph Theory and Applications. 2014; 2: 115–128. https://doi.org/10.5614/ ejgta.2014.2.2.4
- Swaminathan V, Jeyanthi P. Super Vertex-Magic Labeling. Indian J. Pure and App. Math. 2003; 34(6): 935-939.
- Wang T M, Zhang G H. Note on E-Super Vertex Magic Graphs. Discrete Applied Mathematics. 2014; 178: 160–2. https://doi.org/10.1016/j.dam.2014.06.009
- Vehicle Location Estimation by Dead Reckoning Using Inertial Measurement Unit Sensor in MEMS
Authors
1 Department of ECE, Tejaa Shakthi Institute of Technology for Women, Coimbatore, Tamilnadu-641659, IN
2 Tejaa Shakthi Institute of Technology for Women, Coimbatore, Tamilnadu-641659, IN
Source
Networking and Communication Engineering, Vol 10, No 2 (2018), Pagination: 28-30Abstract
This paper presents estimation of vehicle location by accurate determination of its attitude using low cost MEMS inertial measurement unit (IMU) sensor. This comprises of tri-axial gyroscope and a tri-axial accelerometer. Because of drift problem low-cost MEMS gyro cannot be used. An accelerometer is used to correct this drift problem. However this is not possible because accelerometer measurements are corrupted by external accelerations produced due to vehicle movements. In this paper we show that vehicle kinematics allow the removal of external acceleration from the lateral and vertical axis accelerometer measurements. A adaptive Filter is designed for the conjunction of accelerometer and gyroscope to accurately determine the attitude of vehicle. The proposed filter is able to maintain sub-degree estimation accuracy even under severe and prolonged dynamic condition.
Keywords
Attitude Estimation, Vehicle Attitude, MEMS IMU, External Acceleration.References
- V.Agarwal, H.Arya, S. Bhakthavatsala, ‘ Design and development of a Real-time DSP and FPGA- Based integrated GPS-INS system for compact and Low Power Application’ IEEE Transaction on a aerospace and electronic system, Vol. 45, No.2, April 2009.
- Jiwon J.oh and Seibum B.Choi, Member, IEEE, Dec 12 ‘Vehicle velocity observer design using 6-D IMU and Multiple-observer approach’ IEEE Transaction on Intelligent Transportation System, Vol. 13, No.4.
- Hamad Ahmed, M. Tahir, ‘Terrain based vehicle localization using low cost MEMS IMU sensor’ IEEE 83rd Vehicle Technology Conference, (VTC spring) May 2016.
- Farid Gulmammadov, ‘Analysis, Modeling and Compensation of Bias Drift in MEMS Inertial Sensors’ IEEE 4th International Conference, (RAST) June 2009.
- D.Chattaraj, K.B.M.Swamy and S.Sen, ‘Design and Analysis of Dual Axis Accelerometer’ Physics of Semiconductor Devices, 2007.
- Zenming zaho, weidong xiang, Paul Richardson, ‘Vehicle lateral Control and Yaw Stability Control through Differential Braking’ Industrial Electronics, 2006 IEEE International Symposium, 9-13 July 2006.
- J.Tiemen, J.Schmalzen, R.Krchnavek, ‘Design of a MEMS based, 3-axis accelerometer smart sensor’ Sensors for Industry Conference, 2002. 2nd ISA/IEEE, 19-21 Nov 2002.
- Sohiel azimi, Abdul QaderAshan Qureshi, Fatmeh Edalatfar, ‘Design, Fabrication and Characterization of a high performance MEMS accelerometer’ SENSORS, 2016 IEEE 30 Oct- 3 Nov 2016.