Shu-Cherng Fang Coauthor index pubzone.org

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j64Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Ye Tian, Qingwei Jin, John E. Lavery, Shu-Cherng Fang: 1 Major Component Detection and Analysis (1 MCDA): Foundations in Two Dimensions. Algorithms 6(1): 12-28 (2013)
j63Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Yun-Chu Chen, Shu-Cherng Fang, Ue-Pyng Wen: Pricing policies for substitutable products in a supply chain with Internet and traditional channels. European Journal of Operational Research 224(3): 542-551 (2013)
j62Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Zhong-Zhong Jiang, Shu-Cherng Fang, Zhi-Ping Fan, Dingwei Wang: Selecting optimal selling format of a product in B2C online auctions with boundedly rational customers. European Journal of Operational Research 226(1): 139-153 (2013)
j61Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Zhibin Deng, Shu-Cherng Fang, Qingwei Jin, Wenxun Xing: Detecting copositivity of a symmetric matrix by an adaptive ellipsoid-based approximation scheme. European Journal of Operational Research 229(1): 21-28 (2013)
2012
j60Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Qingwei Jin, Lu Yu, John E. Lavery, Shu-Cherng Fang: Univariate cubic L1 interpolating splines based on the first derivative and on 5-point windows: analysis, algorithm and shape-preserving properties. Comp. Opt. and Appl. 51(2): 575-600 (2012)
j59Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Wenxun Xing, Shu-Cherng Fang, Ruey-Lin Sheu, Ziteng Wang: A canonical dual approach for solving linearly constrained quadratic programs. European Journal of Operational Research 218(1): 21-27 (2012)
j58Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Cheng-Feng Hu, Shu-Cherng Fang: Randomly generating test problems for fuzzy relational equations. FO & DM 11(1): 1-28 (2012)
j57Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Shu-Cherng Fang, Christodoulos A. Floudas, David Y. Gao: Preface. J. Global Optimization 54(2): 219-220 (2012)
j56Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Zhenbo Wang, Shu-Cherng Fang, David Y. Gao, Wenxun Xing: Canonical dual approach to solving the maximum cut problem. J. Global Optimization 54(2): 341-351 (2012)
2011
j55Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Saowanee Lertworasirikul, Peerayuth Charnsethikul, Shu-Cherng Fang: Inverse data envelopment analysis model to preserve relative efficiency values: The case of variable returns to scale. Computers & Industrial Engineering 61(4): 1017-1023 (2011)
j54Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Pingke Li, Shu-Cherng Fang: On the unique solvability of fuzzy relational equations. FO & DM 10(2): 115-124 (2011)
j53Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Cheng-Feng Hu, Shu-Cherng Fang: Set covering-based surrogate approach for solving sup-T equation constrained optimization problems. FO & DM 10(2): 125-152 (2011)
j52Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Cheng Lu, Shu-Cherng Fang, Qingwei Jin, Zhenbo Wang, Wenxun Xing: KKT Solution and Conic Relaxation for Solving Quadratically Constrained Quadratic Programming Problems. SIAM Journal on Optimization 21(4): 1475-1490 (2011)
2010
j51Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Qingwei Jin, John E. Lavery, Shu-Cherng Fang: Univariate Cubic L1 Interpolating Splines: Analytical Results for Linearity, Convexity and Oscillation on 5-PointWindows. Algorithms 3(3): 276-293 (2010)
j50Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Lu Yu, Qingwei Jin, John E. Lavery, Shu-Cherng Fang: Univariate Cubic L1 Interpolating Splines: Spline Functional, Window Size and Analysis-based Algorithm. Algorithms 3(3): 311-328 (2010)
j49Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Zhenbo Wang, Wenxun Xing, Shu-Cherng Fang: Two-group knapsack game. Theor. Comput. Sci. 411(7-9): 1094-1103 (2010)
p1Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Pingke Li, Shu-Cherng Fang: Chebyshev Approximation of Inconsistent Fuzzy Relational Equations with Max-T Composition. Fuzzy Optimization 2010: 109-124
2009
j48Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Pingke Li, Shu-Cherng Fang: A note on solution sets of interval-valued fuzzy relational equations. FO & DM 8(1): 115-121 (2009)
j47Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Pingke Li, Shu-Cherng Fang: A survey on fuzzy relational equations, part I: classification and solvability. FO & DM 8(2): 179-229 (2009)
j46Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Shu-Cherng Fang, David Y. Gao, Ruey-Lin Sheu, Wenxun Xing: Global optimization for a class of fractional programming problems. J. Global Optimization 45(3): 337-353 (2009)
j45Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Pingke Li, Shu-Cherng Fang: Latticized Linear Optimization on the Unit Interval. IEEE T. Fuzzy Systems 17(6): 1353-1365 (2009)
r3Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Shu-Cherng Fang, Jacob H.-S. Tsao: Entropy Optimization: Interior Point Methods. Encyclopedia of Optimization 2009: 907-912
r2Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Shu-Cherng Fang, Jacob H.-S. Tsao: Entropy Optimization: Shannon Measure of Entropy and its Properties. Encyclopedia of Optimization 2009: 916-921
r1Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Shu-Cherng Fang, Jacob H.-S. Tsao: Maximum Entropy Principle: Image Reconstruction. Encyclopedia of Optimization 2009: 2004-2009
2008
j44Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Nan-Chieh Chiu, Shu-Cherng Fang, John E. Lavery, Jen-Yen Lin, Yong Wang: Approximating term structure of interest rates using cubic L. European Journal of Operational Research 184(3): 990-1004 (2008)
j43Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Pingke Li, Shu-Cherng Fang: On the resolution and optimization of a system of fuzzy relational equations with sup- T composition. FO & DM 7(2): 169-214 (2008)
j42Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Yue Dai, Shu-Cherng Fang, Xiaoli Ling, Henry L. W. Nuttle: Risk pooling strategy in a multi-echelon supply chain with price-sensitive demand. Math. Meth. of OR 67(3): 391-421 (2008)
2007
j41Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Shu-Cherng Fang, Soon-Yi Wu, S. Ilker Birbil: Solving variational inequalities defined on a domain with infinitely many linear constraints. Comp. Opt. and Appl. 37(1): 67-81 (2007)
j40Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Yu-Min Lin, Shu-Cherng Fang, Jeffrey L. Thorne: A tabu search algorithm for maximum parsimony phylogeny inference. European Journal of Operational Research 176(3): 1908-1917 (2007)
j39Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Shunmin Wang, Shu-Cherng Fang, Henry L. W. Nuttle: Errata. FO & DM 6(3): 297 (2007)
2006
j38Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Yue Dai, Xiuli Chao, Shu-Cherng Fang, Henry L. W. Nuttle: Capacity Allocation and inventory Policy in a Distribution System. APJOR 23(4): 543-571 (2006)
j37Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Yun-Bin Zhao, Shu-Cherng Fang, Duan Li: Constructing Generalized Mean Functions Using Convex Functions with Regularity Conditions. SIAM Journal on Optimization 17(1): 37-51 (2006)
2005
j36Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Hao Cheng, Shu-Cherng Fang, John E. Lavery: A Geometric Programming Framework for Univariate Cubic L 1 Smoothing Splines. Annals OR 133(1-4): 229-248 (2005)
j35Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Yue Dai, Xiuli Chao, Shu-Cherng Fang, Henry L. W. Nuttle: Game Theoretic Analysis of a Distribution System with Customer Market Search. Annals OR 135(1): 223-228 (2005)
j34Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
S. Ilker Birbil, Shu-Cherng Fang, J. B. G. Frenk, Shuzhong Zhang: Recursive approximation of the high dimensional max function. Oper. Res. Lett. 33(5): 450-458 (2005)
2004
j33Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Hao Cheng, Shu-Cherng Fang, John E. Lavery: An Efficient Algorithm for Generating Univariate Cubic L1 Splines. Comp. Opt. and Appl. 29(2): 219-253 (2004)
j32Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Yi Liao, Shu-Cherng Fang, Henry L. W. Nuttle: A neural network model with bounded-weights for pattern classification. Computers & OR 31(9): 1411-1426 (2004)
j31Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
S. Ilker Birbil, Shu-Cherng Fang, Jiye Han: An entropic regularization approach for mathematical programs with equilibrium constraints. Computers & OR 31(13): 2249-2262 (2004)
j30Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Shu-Cherng Fang, Henry L. W. Nuttle, Dingwei Wang: Fuzzy formulation of auctions and optimal sequencing for multiple auctions. Fuzzy Sets and Systems 142(3): 421-441 (2004)
2003
j29Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Andrés L. Medaglia, Shu-Cherng Fang: A genetic-based framework for solving (multi-criteria) weighted matching problems. European Journal of Operational Research 149(1): 77-101 (2003)
j28Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Saowanee Lertworasirikul, Shu-Cherng Fang, Jeffrey A. Joines, Henry L. W. Nuttle: Fuzzy data envelopment analysis (DEA): a possibility approach. Fuzzy Sets and Systems 139(2): 379-394 (2003)
j27Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Peitsang Wu, Shu-Cherng Fang, Henry L. W. Nuttle: An enhanced neural network learning using a self-tuning fuzzy neuron controller. Journal of Intelligent and Fuzzy Systems 14(2): 109-118 (2003)
j26Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Yi Liao, Shu-Cherng Fang, Henry L. W. Nuttle: Relaxed conditions for radial-basis function networks to be universal approximators. Neural Networks 16(7): 1019-1028 (2003)
2002
j25Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Andrés L. Medaglia, Shu-Cherng Fang, Henry L. W. Nuttle, James R. Wilson: An efficient and flexible mechanism for constructing membership functions. European Journal of Operational Research 139(1): 84-95 (2002)
j24Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Andrés L. Medaglia, Shu-Cherng Fang, Henry L. W. Nuttle: Fuzzy controlled simulation optimization. Fuzzy Sets and Systems 127(1): 65-84 (2002)
j23Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Jiranut Loetamonphong, Shu-Cherng Fang, Robert E. Young: Multi-objective optimization problems with fuzzy relation equation constraints. Fuzzy Sets and Systems 127(2): 141-164 (2002)
j22Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Peitsang Wu, Shu-Cherng Fang, Henry L. W. Nuttle: Efficient neural network learning using second order information with fuzzy control. Neurocomputing 43(1-4): 197-217 (2002)
j21Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Hao Cheng, Shu-Cherng Fang, John E. Lavery: Univariate cubic L1 splines - A geometric programming approach. Math. Meth. of OR 56(2): 197-229 (2002)
c3no EE pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Shunmin Wang, Shu-Cherng Fang, Henry L. W. Nuttle: Tolerable Solution Sets Of Interval-Valued Fuzzy Relational Equations. JCIS 2002: 74-77
c2no EE pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Saowanee Lertworasirikul, Shu-Cherng Fang, Jeffrey A. Joines, Henry L. W. Nuttle: A Possibility Approach to Fuzzy Data Envelopment Analysis. JCIS 2002: 176-179
2001
j20Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Soon-Yi Wu, Shu-Cherng Fang, Chih-Jen Lin: Solving General Capacity Problem by Relaxed Cutting Plane Approach. Annals OR 103(1-4): 193-211 (2001)
j19Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Jiranut Loetamonphong, Shu-Cherng Fang: Optimization of fuzzy relation equations with max-product composition. Fuzzy Sets and Systems 118(3): 509-517 (2001)
j18Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Jianjun Lu, Shu-Cherng Fang: Solving nonlinear optimization problems with fuzzy relation equation constraints. Fuzzy Sets and Systems 119(1): 1-20 (2001)
2000
j17Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Yen-Hung Chen, Shu-Cherng Fang: Neurocomputing with time delay analysis for solving convex quadratic programming problems. IEEE Trans. Neural Netw. Learning Syst. 11(1): 230-240 (2000)
c1Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Peitsang Wu, Shu-Cherng Fang, Henry L. W. Nuttle: An Enhanced Fuzzy Neuron Controller for Curved Search Neural Network Learning. IJCNN (6) 2000: 535-540
1999
j16Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Cheng-Feng Hu, Shu-Cherng Fang: Solving fuzzy inequalities with piecewise linear membership functions. IEEE T. Fuzzy Systems 7(2): 230-235 (1999)
j15Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Jiranut Loetamonphong, Shu-Cherng Fang: An efficient solution procedure for fuzzy relation equations with max-product composition. IEEE T. Fuzzy Systems 7(4): 441-445 (1999)
j14Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Dingwei Wang, Shu-Cherng Fang, Henry L. W. Nuttle: Soft computing for multicustomer due-date bargaining. IEEE Transactions on Systems, Man, and Cybernetics, Part C 29(4): 566-575 (1999)
1998
j13Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Sichong Guan, Shu-Cherng Fang: A global-filtering algorithm for linear programming problems with stochastic elements. Math. Meth. of OR 48(3): 287-316 (1998)
j12Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Guangzhi Li, Shu-Cherng Fang: Solving interval-valued fuzzy relation equations. IEEE T. Fuzzy Systems 6(2): 321-324 (1998)
j11Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Dingwei Wang, Shu-Cherng Fang, Thom J. Hodgson: A fuzzy due-date bargainer for the make-to-order manufacturing systems. IEEE Transactions on Systems, Man, and Cybernetics, Part C 28(3): 492-497 (1998)
1997
j10Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Madan Natu, Shu-Cherng Fang: The Point-to-point Connection Problem - Analysis and Algorithms. Discrete Applied Mathematics 78(1-3): 207-226 (1997)
j9Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Jianjun Lu, Paul Brinkley, Shu-Cherng Fang: A Fuzzy Expert System Model for Rf Receiver Module Testing. Int. J. Systems Science 28(8): 791-798 (1997)
j8Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Xing-Si Li, Shu-Cherng Fang: On the entropic regularization method for solving min-max problems with applications. Math. Meth. of OR 46(1): 119-130 (1997)
j7Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Shankar Mishra, Shu-Cherng Fang: A Maximum Entropy Optimization Approach to Tandem Queues with Generalized Blocking. Perform. Eval. 30(4): 217-241 (1997)
j6Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Dingwei Wang, Shu-Cherng Fang: A genetics-based approach for aggregated production planning in a fuzzy environment. IEEE Transactions on Systems, Man, and Cybernetics, Part A 27(5): 636-645 (1997)
1996
j5Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Shu-Cherng Fang, Jacob H.-S. Tsao: A dual perturbation view of linear programming. Math. Meth. of OR 44(1): 1-9 (1996)
1995
j4Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Madan Natu, Shu-Cherng Fang: On the Point-to-Point Connection Problem. Inf. Process. Lett. 53(6): 333-336 (1995)
j3Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Jacob H.-S. Tsao, Shu-Cherng Fang: An unconstrained dual approach to solving Karmarkar-type linear programs using conventional barrier functions. Math. Meth. of OR 42(3): 325-343 (1995)
1994
j2Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Shu-Cherng Fang, Sarat C. Puthenpura: Numerical linear algebra and optimization-volume 1, by Philip E. Gill. Walter Murray, and Margaret H. Wright, Addison-Wesley, Redwood City, CA, 1991, 448 pp. Price: $46.25. Networks 24(2): 128-129 (1994)
1992
j1Electronic Edition pubzone.org CiteSeerX Google scholar BibTeX bibliographical record in XML
Ruey-Lin Sheu, Shu-Cherng Fang: Insights into the interior-point methods. Math. Meth. of OR 36(3): 227-257 (1992)

Coauthor Index

1S. Ilker Birbil
[j41] [j34] [j31]
2Paul Brinkley
[j9]
3Xiuli Chao
[j38] [j35]
4Peerayuth Charnsethikul
[j55]
5Yen-Hung Chen
[j17]
6Yun-Chu Chen
[j63]
7Hao Cheng
[j36] [j33] [j21]
8Nan-Chieh Chiu
[j44]
9Yue Dai
[j42] [j38] [j35]
10Zhibin Deng
[j61]
11Zhi-Ping Fan
[j62]
12Christodoulos A. Floudas
[j57]
13J. B. G. Frenk
[j34]
14David Y. Gao
[j57] [j56] [j46]
15Sichong Guan
[j13]
16Jiye Han
[j31]
17Thom J. Hodgson
[j11]
18Cheng-Feng Hu
[j58] [j53] [j16]
19Zhong-Zhong Jiang
[j62]
20Qingwei Jin
[j64] [j61] [j60] [j52] [j51] [j50]
21Jeffrey A. Joines
[j28] [c2]
22John E. Lavery
[j64] [j60] [j51] [j50] [j44] [j36] [j33] [j21]
23Saowanee Lertworasirikul
[j55] [j28] [c2]
24Duan Li
[j37]
25Guangzhi Li
[j12]
26Pingke Li
[j54] [p1] [j48] [j47] [j45] [j43]
27Xing-Si Li
[j8]
28Yi Liao
[j32] [j26]
29Chih-Jen Lin
[j20]
30Jen-Yen Lin
[j44]
31Yu-Min Lin
[j40]
32Xiaoli Ling
[j42]
33Jiranut Loetamonphong
[j23] [j19] [j15]
34Cheng Lu
[j52]
35Jianjun Lu
[j18] [j9]
36Andrés L. Medaglia
[j29] [j25] [j24]
37Shankar Mishra
[j7]
38Madan Natu
[j10] [j4]
39Henry L. W. Nuttle
[j42] [j39] [j38] [j35] [j32] [j30] [j28] [j27] [j26] [j25] [j24] [j22] [c3] [c2] [c1] [j14]
40Sarat C. Puthenpura
[j2]
41Ruey-Lin Sheu
[j59] [j46] [j1]
42Jeffrey L. Thorne
[j40]
43Ye Tian
[j64]
44Jacob H.-S. Tsao
[r3] [r2] [r1] [j5] [j3]
45Dingwei Wang
[j62] [j30] [j14] [j11] [j6]
46Shunmin Wang
[j39] [c3]
47Yong Wang
[j44]
48Zhenbo Wang
[j56] [j52] [j49]
49Ziteng Wang
[j59]
50Ue-Pyng Wen
[j63]
51James R. Wilson
[j25]
52Peitsang Wu
[j27] [j22] [c1]
53Soon-Yi Wu
[j41] [j20]
54Wenxun Xing
[j61] [j59] [j56] [j52] [j49] [j46]
55Robert E. Young
[j23]
56Lu Yu
[j60] [j50]
57Shuzhong Zhang
[j34]
58Yun-Bin Zhao
[j37]

Colors in the list of coauthors

Last update Thu May 23 08:44:59 2013 CET by the DBLP TeamThis material is Open Data Data released under the ODC-BY 1.0 license — See also our legal information page