George E. Collins

5.3k total citations
65 papers, 2.4k citations indexed

About

George E. Collins is a scholar working on Computational Theory and Mathematics, Artificial Intelligence and Discrete Mathematics and Combinatorics. According to data from OpenAlex, George E. Collins has authored 65 papers receiving a total of 2.4k indexed citations (citations by other indexed papers that have themselves been cited), including 46 papers in Computational Theory and Mathematics, 22 papers in Artificial Intelligence and 8 papers in Discrete Mathematics and Combinatorics. Recurrent topics in George E. Collins's work include Polynomial and algebraic computation (27 papers), Numerical Methods and Algorithms (15 papers) and Algorithms and Data Compression (9 papers). George E. Collins is often cited by papers focused on Polynomial and algebraic computation (27 papers), Numerical Methods and Algorithms (15 papers) and Algorithms and Data Compression (9 papers). George E. Collins collaborates with scholars based in United States, Germany and Austria. George E. Collins's co-authors include Hoon Hong, Dennis S. Arnon, Scott McCallum, Rüdiger Loos, Bruno Buchberger, Alkiviadis G. Akritas, R. Albrecht, Jeremy Johnson, Ellis Horowitz and Charles R. Martin and has published in prestigious journals such as Communications of the ACM, Journal of Membrane Science and Mathematics of Computation.

In The Last Decade

George E. Collins

61 papers receiving 2.1k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
George E. Collins United States	23	1.5k	682	460	307	242	65	2.4k
Bruno Buchberger Austria	19	1.5k 1.0×	598 0.9×	416 0.9×	674 2.2×	97 0.4×	65	2.4k
Marie-Françoise Roy France	17	1.5k 1.0×	388 0.6×	493 1.1×	481 1.6×	291 1.2×	57	2.1k
Richard Pollack United States	25	1.5k 1.0×	346 0.5×	539 1.2×	537 1.7×	1.3k 5.4×	76	3.0k
Saugata Basu United States	15	1.3k 0.9×	352 0.5×	387 0.8×	434 1.4×	319 1.3×	76	1.9k
David A. Cox United States	15	1.0k 0.7×	272 0.4×	423 0.9×	1.0k 3.4×	116 0.5×	48	2.3k
Erich Kaltofen United States	33	2.3k 1.5×	1.4k 2.1×	252 0.5×	280 0.9×	100 0.4×	133	2.8k
Daniel Lazard France	19	942 0.6×	209 0.3×	388 0.8×	485 1.6×	112 0.5×	45	1.5k
Dario A. Bini Italy	33	2.5k 1.7×	367 0.5×	420 0.9×	215 0.7×	41 0.2×	158	3.6k
Komei Fukuda Switzerland	17	743 0.5×	235 0.3×	97 0.2×	102 0.3×	402 1.7×	63	1.7k
P. Delsarte Belgium	24	1.0k 0.7×	1.7k 2.4×	235 0.5×	207 0.7×	39 0.2×	71	3.5k

Countries citing papers authored by George E. Collins

Since Specialization

Citations

This map shows the geographic impact of George E. Collins's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by George E. Collins with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites George E. Collins more than expected).

Fields of papers citing papers by George E. Collins

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by George E. Collins. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by George E. Collins. The network helps show where George E. Collins may publish in the future.

Co-authorship network of co-authors of George E. Collins

This figure shows the co-authorship network connecting the top 25 collaborators of George E. Collins. A scholar is included among the top collaborators of George E. Collins based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with George E. Collins. George E. Collins is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Collins, George E.. (2016). On the maximum computing time of the bisection method for real root isolation. Journal of Symbolic Computation. 79. 444–456. 2 indexed citations

Collins, George E.. (2014). Krandick's proof of Lagrange's real root bound claim. Journal of Symbolic Computation. 70. 106–111. 3 indexed citations

Collins, George E., et al.. (2012). On the computing time of the continued fractions method. Journal of Symbolic Computation. 47(11). 1372–1412. 2 indexed citations

Collins, George E.. (2004). Single-factor coefficient bounds. Journal of Symbolic Computation. 38(6). 1507–1521. 2 indexed citations

Collins, George E., et al.. (2002). Interval Arithmetic in Cylindrical Algebraic Decomposition. Journal of Symbolic Computation. 34(2). 145–157. 40 indexed citations

Collins, George E.. (2002). A Fast Euclidean Algorithm for Gaussian Integers. Journal of Symbolic Computation. 33(4). 385–392. 3 indexed citations

Brown, Christopher W. & George E. Collins. (1999). Solution formula construction for truth invariant cad's. 37(12). e15120–e15120. 10 indexed citations

Collins, George E., et al.. (1995). Efficient Rational Number Reconstruction. Journal of Symbolic Computation. 20(3). 287–297. 24 indexed citations

Collins, George E. & Hoon Hong. (1991). Partial Cylindrical Algebraic Decomposition for quantifier elimination. Journal of Symbolic Computation. 12(3). 299–328. 293 indexed citations

10.

Arnon, Dennis S., George E. Collins, & Scott McCallum. (1988). An adjacency algorithm for cylindrical algebraic decompositions of three-dimenslonal space. Journal of Symbolic Computation. 5(1-2). 163–187. 21 indexed citations

11.

Buchberger, Bruno, et al.. (1988). Algebraic Methods for Geometric Reasoning. 3(1). 85–119. 46 indexed citations

12.

Collins, George E. & Rüdiger Loos. (1983). Real zeroes of polynomials. Springer eBooks. 83–94. 5 indexed citations

13.

Buchberger, Bruno, George E. Collins, Rüdiger Loos, & R. Albrecht. (1983). Computer algebra: symbolic and algebraic computation (2nd ed.). Springer eBooks. 10 indexed citations

14.

Collins, George E. & Alkiviadis G. Akritas. (1976). Polynomial real root isolation using Descarte's rule of signs. 272–275. 126 indexed citations

15.

Collins, George E. & Ellis Horowitz. (1974). The Minimum Root Separation of a Polynomial. Mathematics of Computation. 28(126). 589–589. 6 indexed citations

16.

Collins, George E. & Ellis Horowitz. (1974). The minimum root separation of a polynomial. Mathematics of Computation. 28(126). 589–597. 22 indexed citations

17.

Horowitz, Ellis, et al.. (1972). The SAC-1 Modular Arithmetic System. Minds at UW (University of Wisconsin). 24–7. 11 indexed citations

18.

Collins, George E.. (1971). The SAC-1 system. 144–152. 39 indexed citations

19.

Collins, George E., et al.. (1970). The Sac-1 Polynomial Real Zero System. Minds at UW (University of Wisconsin). 6 indexed citations

20.

Collins, George E.. (1969). Computing time analyses for some arithmetic and algebraic algorithms. Minds at UW (University of Wisconsin). 18 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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