GraphBase swMATH ID: 1555 Software Authors: Knuth, Donald E. Description: The Stanford GraphBase is a freely available collection of computer programs and data useful for testing and comparing combinatorial algorithms. The programs generate a large number of graphs with a great variety of properties. Some of the graphs are based on data from the “real world”: Five-letter words of English, the characters in classical works of fiction, highway distances between cities, input-output statistics of the US economy, college football scores, computational logic circuits, the Mona Lisa, etc. Others are based on regular mathematical constructions such as lattices and quaternions. Graphs can be modified and combined by union, intersection, complementation, product, and forming line graphs. A general induced-graph routine allows omission and/or collapsing and/or splitting of vertices, and/or replacement of vertices by arbitrary graphs. Each graph has an identifying name, so that researchers all over the world can compare results on identical graphs and so that experiments are reproducible. For example, graphs such as book (“homer”, 280, 0, 1, 0, 0, 1, 1, 0) and random_bigraph (128, 128, 1000, -1, 0, 0, 0, 0, 314159) and all-perms (9) are well defined. Conclusion: This paper is a brief overview of the system. Complete details appeared in the author’s book with the same title, published by ACM Press in 1993. Homepage: http://www.cs.sunysb.edu/~algorith/implement/graphbase/implement.shtml Related Software: LOLIB; LEDA; Pajek datasets; DIMACS; TSPLIB; R; Pajek; CPLEX; Smodels; NP-SPEC; plfit; SNAP; PRMLT; MatrixMarket; Mathematica; Scatter Search; ASSAT; ABACUS; CRAN; KONECT Cited in: 137 Publications all top 5 Cited by 301 Authors 8 Martí, Rafael 6 Sun, Penggang 5 Jünger, Michael 4 Hansen, Pierre 4 Knuth, Donald Ervin 4 Laguna, Manuel 4 Mutzel, Petra 3 Ma, Xiaoke 3 Perri, Simona 3 Reinelt, Gerhard 2 Brüning, Stefan 2 Buchheim, Christoph 2 Cafieri, Sonia 2 Campos, Vicente 2 El Haziti, Mohamed 2 Glover, Fred W. 2 He, Dongxiao 2 Ibnoulouafi, Ahmed 2 Jin, Di 2 Leone, Nicola 2 Meghanathan, Natarajan 2 Moret, Bernard M. E. 2 Niemelä, Ilkka N. F. 2 O’Sullivan, Barry 2 Reidl, Felix 2 Ricca, Francesco 2 Rinaldi, Giovanni 2 Schaub, Torsten H. 2 Schiavinotto, Tommaso 2 Simons, Patrik 2 Stützle, Thomas G. 2 Thienel, Stefan 2 Wang, Zhenwen 2 Žalik, Krista Rizman 2 Zheng, Lanbo 1 A. Tabrizi, Shayan 1 Abbasi, Maziar 1 Aingworth, Donald D. 1 Akartunalı, Kerem 1 Alozie, Glory Uche 1 Antonić, Nenad 1 Aouchiche, Mustapha 1 Arulselvan, Ashwin 1 Asadpour, Masoud 1 Avrachenkov, Konstantin Evgen’evich 1 Bachmaier, Christian 1 Barber, Michael J. 1 Barth, Wilhelm 1 Bayarov, S. 1 Beiranvand, Vahid 1 Belli, Fevzi 1 Ben-Naim, Eli 1 Bessis, Nik 1 Bian, Tian 1 Biswas, Anupam 1 Biswas, Bhaskar 1 Boniolo, Elena 1 Brandenburg, Franz-Josef 1 Breuer, Alex 1 Bu, Zhan 1 Budnik, Christof J. 1 Burazin, Krešimir 1 Çakıroḡlu, Olca A. 1 Câmara, Gilberto 1 Cambazard, Hadrien 1 Cao, Jie 1 Cao, Xiaochun 1 Cao, Yixin 1 Caporossi, Gilles 1 Caracciolo, Sergio 1 Caramia, Massimiliano 1 Catalano, Gelsomina 1 Cavallar, Stefania Hedwig 1 Chalupa, David 1 Che, Wanping 1 Chebotarev, Pavel Yu. 1 Chekuri, Chandra S. 1 Chen, Ding-Yi 1 Chen, Yaoliang 1 Cherifi, Hocine 1 Chi, Juan 1 Chuang, Tyng-Ruey 1 Comellas, Francesc 1 Costa, Alberto L. C. 1 Courtois, M. 1 Crauser, Andreas 1 Davidson, Ian 1 Dell’Olmo, Paolo 1 Demaine, Erik D. 1 Deng, Yong 1 Deville, Yves 1 Dong, Enming 1 Dooms, Gregoire 1 Duarte-López, Ariel 1 Duarte, Abraham 1 Duncan, Christian A. 1 E, Weinan 1 Edmonds, Nick 1 Effinger, Philip 1 Eltayeb, Hassan ...and 201 more Authors all top 5 Cited in 66 Serials 10 Physica A 6 Journal of Statistical Mechanics: Theory and Experiment 4 Information Sciences 4 Journal of Graph Algorithms and Applications 3 Chaos, Solitons and Fractals 3 Computing 3 Computers & Operations Research 3 Annals of Operations Research 3 INFORMS Journal on Computing 2 International Journal of Modern Physics B 2 Artificial Intelligence 2 Discrete Applied Mathematics 2 Applied Mathematics and Computation 2 Software. Practice & Experience 2 Computational Statistics and Data Analysis 2 Mathematical Programming. Series A. 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Mathematical Structures in Computer Science 1 Journal of Global Optimization 1 Artificial Intelligence Review 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Pattern Recognition 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Optimization 1 Congressus Numerantium 1 Journal of Functional Programming 1 Methods and Applications of Analysis 1 The Journal of Artificial Intelligence Research (JAIR) 1 Annals of Mathematics and Artificial Intelligence 1 Mathematical Problems in Engineering 1 Theory of Computing Systems 1 Optimization Methods & Software 1 1 Data Mining and Knowledge Discovery 1 Communications in Nonlinear Science and Numerical Simulation 1 Optimization and Engineering 1 International Journal of Modern Physics C 1 Journal of Universal Computer Science 1 Journal of Applied Mathematics 1 Journal of Machine Learning Research (JMLR) 1 ACM Journal of Experimental Algorithmics 1 Journal of Discrete Algorithms 1 Applied Mathematical Sciences 1 Lecture Notes in Physics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Mathematical Programming Computation 1 Journal de la Société Française de Statistique 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 EURO Journal on Computational Optimization all top 5 Cited in 23 Fields 67 Computer science (68-XX) 51 Combinatorics (05-XX) 40 Operations research, mathematical programming (90-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Statistics (62-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Numerical analysis (65-XX) 5 Biology and other natural sciences (92-XX) 4 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Partial differential equations (35-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) Citations by Year