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NP-Complete Problems
Traveling Salesman Problem
Hamiltonian Cycle Problem
NP-Complete Problems Screenshots
NP-Complete Problems Examples
Reference 1
I. I. Goray and L. I. Goray, "Computer system configured in support of solving NP-complete problems at high speed," United State Patent No. 6,636,840 B1, International Intellectual Group, Inc., Oct. 21, 2003.
Reference 2
L. I. Goray, J. F. Seely, and S. Yu. Sadov, "Spectral separation of the efficiencies of the inside and outside orders of soft-x-ray-extreme-ultraviolet gratings at near normal incidence," J. Appl. Phys., vol. 100, No. 9, 2006, pp. 094901-1-13.
Reference 3
L. I. Goray, I. G. Kuznetsov, S. Yu. Sadov, and D. A. Content, "Multilayer resonant subwavelength gratings: effects of waveguide modes and real groove profiles," J. Opt. Soc. Am A, vol. 23, No. 1, 2006, pp. 155-165.
Reference 4
L. I. Goray, "Numerical analysis of the efficiency of multilayer-coated gratings using integral method," Nuclear Inst. and Methods in Physics Research A, vol. 536, No. 1-2, 2005, pp. 211-221.
Reference 5
L. I. Goray and G. Schmidt, "Boundary Integral Equation Methods for Conical Diffraction and Short Waves," Ch.# 12 in Gratings: Theory and Numeric Applications, Second Revisited Edition, E. Popov, ed. (Institut Fresnel, AMU, 2014).
Reference 6
L. I. Goray and J. F. Seely, "Efficiencies of master, replica, and multilayer gratings for the soft x-ray - EUV range: modeling based on the modified integral method and comparisons to measurements," Appl. Opt., vol. 41, No. 7, 2002, pp. 1434-1445.
Reference 7
L. I. Goray, "Modified integral method for weak convergence problems of light scattering on relief grating," in Diffractive and Holographic Technologies for Integrated Photonic Systems, R.I. Sutherland, D.W. Prather, and I. Cindrich, eds., SPIE Proc., vol. 4291, 2001, pp.1-12.
Reference 8
J. Seely, B. Kjornrattanawanich, L. Goray, Y. Feng, and J. Bremer, “Characterization of zone plate properties using monochromatic synchrotron radiation in the 2 to 20 nm wavelength range,” Appl. Opt., vol. 50, No. 18, 2011, pp. 3015–3020.
Reference 9
J. F. Seely, L. I. Goray, B. Kjornrattanawanich, J. M. Laming, G. E. Holland, K. A. Flanagan, R. K. Heilmann, C.-H. Chang, M. L. Schattenburg, and A. P. Rasmussen, "Efficiency of a grazing incidence off-plane grating in the soft x-ray region," Appl. Opt., vol. 45, No. 8, 2006, pp. 1680-1687.
Reference 10
D. L. Voronov, E. H. Anderson, R. Cambie, S. Cabrini, S. D. Dhuey, L. I. Goray, E. M. Gullikson, F. Salmassi, T. Warwick, V. V. Yashchuk, and H. A. Padmore, "A 10,000 groove/mm multilayer coated grating for EUV spectroscopy," Opt. Express, vol. 19, No. 7, 2011, pp. 6320–6325.

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