George J. Minty

3.7k total citations · 1 hit paper
24 papers, 2.3k citations indexed

About

George J. Minty is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, George J. Minty has authored 24 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Computational Theory and Mathematics, 9 papers in Applied Mathematics and 7 papers in Numerical Analysis. Recurrent topics in George J. Minty's work include Optimization and Variational Analysis (7 papers), Advanced Optimization Algorithms Research (6 papers) and Nonlinear Differential Equations Analysis (3 papers). George J. Minty is often cited by papers focused on Optimization and Variational Analysis (7 papers), Advanced Optimization Algorithms Research (6 papers) and Nonlinear Differential Equations Analysis (3 papers). George J. Minty collaborates with scholars based in United States, Italy and Germany. George J. Minty's co-authors include Victor Klee and has published in prestigious journals such as Proceedings of the National Academy of Sciences, IEEE Transactions on Information Theory and Journal of Mathematical Analysis and Applications.

In The Last Decade

George J. Minty

22 papers receiving 1.8k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Monotone (nonlinear) operators in Hilbert space

1962 729 citations George J. Minty profile →

Peers

George J. Minty

CTM

NA

AM

MP

GT

T. S. Motzkin United States

L. Mirsky United Kingdom

Robert G. Bartle United States

Arrigo Cellina Italy

A. M. Rubinov Australia

Yu. S. Ledyaev Russia

J. William Helton United States

Zvi Artstein Israel

Richard Pollack United States

V. F. Demyanov Russia

T. S. Motzkin United States

George J. Minty

810 ×0.5

CTM

401 ×0.6

NA

257 ×0.5

AM

141 ×0.4

MP

343 ×1.0

GT

Citations per year, relative to George J. Minty George J. Minty (= 1×) peers T. S. Motzkin

Countries citing papers authored by George J. Minty

Since Specialization

Citations

This map shows the geographic impact of George J. Minty'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 J. Minty with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites George J. Minty more than expected).

Fields of papers citing papers by George J. Minty

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by George J. Minty. 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 J. Minty. The network helps show where George J. Minty may publish in the future.

Co-authorship network of co-authors of George J. Minty

This figure shows the co-authorship network connecting the top 25 collaborators of George J. Minty. A scholar is included among the top collaborators of George J. Minty 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 J. Minty. George J. Minty 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

1.

Minty, George J.. (1980). On maximal independent sets of vertices in claw-free graphs. Journal of Combinatorial Theory Series B. 28(3). 284–304. 253 indexed citations

2.

Minty, George J.. (1978). On variational inequalities for monotone operators, I. Advances in Mathematics. 30(1). 1–7. 15 indexed citations

3.

Minty, George J.. (1974). A finite-dimensional tool-theorem in monotone operator theory. Advances in Mathematics. 12(1). 1–7. 3 indexed citations

4.

Minty, George J.. (1974). A “from scratch” proof of a theorem of Rockafellar and Fulkerson. Mathematical Programming. 7(1). 368–375. 2 indexed citations

5.

Minty, George J.. (1970). On the extension of Lipschitz, Lipschitz-Hölder continuous, and monotone functions. Bulletin of the American Mathematical Society. 76(2). 334–339. 33 indexed citations

6.

Minty, George J.. (1967). On the generalization of a direct method of the calculus of variations. Bulletin of the American Mathematical Society. 73(3). 315–321. 88 indexed citations

7.

Minty, George J.. (1967). A theorem on three-coloring the edges of a trivalent graph. Journal of Combinatorial Theory. 2(2). 164–167. 9 indexed citations

8.

Minty, George J.. (1965). A theorem on maximal monotonic sets in Hilbert space. Journal of Mathematical Analysis and Applications. 11. 434–439. 19 indexed citations

9.

Minty, George J.. (1965). A Simple Algorithm for Listing All the Trees of a Graph. IEEE Transactions on Circuit Theory. 12(1). 120–120. 37 indexed citations

10.

Minty, George J.. (1964). On the solvability of nonlinear functional equations of ‘monotonic’ type. Pacific Journal of Mathematics. 14(1). 249–255. 56 indexed citations

11.

Minty, George J.. (1963). Two theorems on nonlinear functional equations in Hilbert space. Bulletin of the American Mathematical Society. 69(5). 691–692. 15 indexed citations

12.

Minty, George J.. (1963). Statistical Estimation of Flows in Networks. IEEE Transactions on Circuit Theory. 10(2). 310–311.

13.

Minty, George J.. (1963). ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES. Proceedings of the National Academy of Sciences. 50(6). 1038–1041. 192 indexed citations

14.

Minty, George J., et al.. (1963). An n-symbol receiver requires at most an n-symbol transmitter (Corresp.). IEEE Transactions on Information Theory. 9(2). 123–124. 1 indexed citations

15.

Minty, George J.. (1962). On the Simultaneous Solution of a Certain System of Linear Inequalities. Proceedings of the American Mathematical Society. 13(1). 11–11. 6 indexed citations

16.

Minty, George J.. (1962). A Theorem on n-Coloring the Points of a Linear Graph. American Mathematical Monthly. 69(7). 623–623. 19 indexed citations

17.

Minty, George J.. (1962). A Theorem on n-Coloring the Points of a Linear Graph. American Mathematical Monthly. 69(7). 623–624. 28 indexed citations

18.

Minty, George J.. (1962). On the simultaneous solution of a certain system of linear inequalities. Proceedings of the American Mathematical Society. 13(1). 11–11. 14 indexed citations

19.

Minty, George J.. (1961). Solving Steady-State Nonlinear Networks of 'Monotone' Elements. IRE Transactions on Circuit Theory. 8(2). 99–104. 43 indexed citations

20.

Minty, George J.. (1960). Monotone networks. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 257(1289). 194–212. 75 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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