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Charles R. Johnson

Charles R. Johnson

William & Mary
United States

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 46 1305 1116 579 458 484 35464

Charles R. Johnson publications per year

The chart shows the history of publications by Charles R. Johnson between 1972 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Charles R. Johnson published across 54 years, from 1972 to 2025, averaging 10.4 papers a year. Output peaked at 23 publications in 1985. 39 of the 564 publications appeared in the last two years.

No. of publications
5 10 15 20
Bar chart. Horizontal axis: year, 1972 to 2025. Vertical axis: number of publications, 0 to 23. Peak 23 publications in 1985. 1972: 1 publication 1973: 3 publications 1974: 12 publications 1975: 8 publications 1976: 7 publications 1977: 3 publications 1978: 3 publications 1979: 4 publications 1980: 3 publications 1981: 3 publications 1982: 5 publications 1983: 3 publications 1984: 8 publications 1985: 23 publications 1986: 9 publications 1987: 9 publications 1988: 11 publications 1989: 11 publications 1990: 13 publications 1991: 15 publications 1992: 6 publications 1993: 16 publications 1994: 6 publications 1995: 12 publications 1996: 14 publications 1997: 8 publications 1998: 14 publications 1999: 9 publications 2000: 12 publications 2001: 12 publications 2002: 9 publications 2003: 9 publications 2004: 9 publications 2005: 14 publications 2006: 8 publications 2007: 11 publications 2008: 12 publications 2009: 10 publications 2010: 8 publications 2011: 21 publications 2012: 22 publications 2013: 15 publications 2014: 9 publications 2015: 5 publications 2016: 15 publications 2017: 12 publications 2018: 9 publications 2019: 5 publications 2020: 10 publications 2021: 13 publications 2022: 14 publications 2023: 22 publications 2024: 19 publications 2025: 20 publications
1972 2025

564 publications in total across all disciplines

View publications per year as a table
Charles R. Johnson: publications per year, 1972 to 2025
Year Publications
1972 1
1973 3
1974 12
1975 8
1976 7
1977 3
1978 3
1979 4
1980 3
1981 3
1982 5
1983 3
1984 8
1985 23
1986 9
1987 9
1988 11
1989 11
1990 13
1991 15
1992 6
1993 16
1994 6
1995 12
1996 14
1997 8
1998 14
1999 9
2000 12
2001 12
2002 9
2003 9
2004 9
2005 14
2006 8
2007 11
2008 12
2009 10
2010 8
2011 21
2012 22
2013 15
2014 9
2015 5
2016 15
2017 12
2018 9
2019 5
2020 10
2021 13
2022 14
2023 22
2024 19
2025 20
Total 564
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Charles R. Johnson publications per year - data summary

  • Charles R. Johnson, a Mathematics scholar from William & Mary, has 564 publications recorded across 54 years, from 1972 to 2025.
  • The oldest publication on record dates to 1972 and the most recent to 2025.
  • The most productive year is 1985, with 23 publications.
  • The least productive year with any output is 1972, with 1 publication.
  • The rate of publication averages 10.4 papers per year over the whole span, or 10.4 per year counting only the 54 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 88 publications, 16% of the career total.
  • Split into equal eras - 1972-1989: 126 publications (7.0 per year); 1990-2007: 197 publications (10.9 per year); 2008-2025: 241 publications (13.4 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

Charles R. Johnson publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Charles R. Johnson sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 482–486 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 484 publications — 96th percentile

96% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6 484
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Charles R. Johnson publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Charles R. Johnson, a Mathematics scholar from William & Mary, records 484 publications - the 96th percentile of the discipline.
  • 96% of ranked Mathematics scientists score the same or lower than Charles R. Johnson, and about 4% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Charles R. Johnson ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

Charles R. Johnson D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Charles R. Johnson sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 46 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 46 D-Index — 64th percentile

64% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103 46
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Charles R. Johnson D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Charles R. Johnson, a Mathematics scholar from William & Mary, records 46 D-Index - the 64th percentile of the discipline.
  • 64% of ranked Mathematics scientists score the same or lower than Charles R. Johnson, and about 36% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Charles R. Johnson ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

Overview

Charles R. Johnson is affiliated with William & Mary in the United States. Their research spans the fields of Computer Science and Mathematics, with a focus on Computational Theory and Mathematics as well as Geometry and Topology. Their academic output includes numerous publications across these areas, reflecting extensive involvement in both theoretical and applied domains.

The scientist's main research topics include:

  • Matrix Theory and Algorithms
  • Graph theory and applications
  • Graph theory and CDMA systems
  • Multi-Criteria Decision Making
  • Advanced Topics in Algebra
  • Mathematics and Applications
  • Decision-Making and Behavioral Economics

Charles R. Johnson has collaborated frequently with several co-authors, such as Susana Furtado, Ronald L. Smith, Michael J. Tsatsomeros, Gary Charness, and Kenji Toyonaga.

Their recent papers include:

  • Efficient vectors in priority setting methodology, 2024, Annals of Operations Research
  • Efficiency of any weighted geometric mean of the columns of a reciprocal matrix, 2023, Linear Algebra and its Applications
  • The inverse eigenvalue problem for linear trees, 2021, Discrete Mathematics
  • The next generation of experimental research with LLMs, 2025, Nature Human Behaviour
  • Impact of COVID-19 on the Mode of Presentation and Stage at Diagnosis of Colorectal Cancer, 2022, Cureus

Charles R. Johnson's frequent publication venues include:

  • arXiv (Cornell University), 19 publications
  • Linear Algebra and its Applications, 12 publications
  • SSRN Electronic Journal, 12 publications
  • Linear and Multilinear Algebra, 7 publications
  • Special Matrices, 5 publications

Among their scholarly contributions is a book titled Matrix Positivity, published in 2020 by Cambridge University Press.

Best Publications

  • Matrix analysis: Frontmatter

    Roger A. Horn;Charles R. Johnson

  • Positive definite completions of partial Hermitian matrices

    Robert Grone;Charles R. Johnson;Eduardo M. Sá;Henry Wolkowicz

  • Row Stochastic Matrices Similar to Doubly Stochastic Matrices

    Charles R. Johnson

  • The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree

    C.R. Johnson;António Leal Duarte

  • A Gersgorin-type lower bound for the smallest singular value

    Charles R. Johnson

  • NUMERICAL DETERMINATION OF THE FIELD OF VALUES OF A GENERAL COMPLEX MATRIX

    Unknown

  • The Linear Algebra Curriculum Study Group Recommendations for the First Course in Linear Algebra

    David Carlson;Charles R. Johnson;David C. Lay;A. Duane Porter

  • The Parter-Wiener Theorem: Refinement and Generalization

    Charles R. Johnson;António Leal Duarte;Carlos M. Saiago

  • The real and the symmetric nonnegative inverse eigenvalue problems are different

    Charles Johnson;Thomas Laffey;Raphael Loewy

  • Norms for vectors and matrices

    Roger A. Horn;Charles R. Johnson

  • Ranks of Completions of Partial Matrices

    Nir Cohen;Charles R. Johnson;Leiba Rodman;Hugo J. Woerdeman

  • Completely positive matrices associated with M-matrices

    John H Drew;Charles R. Johnson;Raphael Loewy

  • The Euclidian Distance Matrix Completion Problem

    Mihaly Bakonyi;Charles R. Johnson

  • The perron root of a weighted geometric mean of nonneagative matrices

    Ludwig Elsner;Charles R. Johnson;J. A. Dias Da Silva

  • ON THE MINIMUM NUMBER OF DISTINCT EIGENVALUES FOR A SYMMETRIC MATRIX WHOSE GRAPH IS A GIVEN TREE

    Onio Leal-Duarte;Charles R. Johnson

  • On Matrices with Perron–Frobenius Properties and Some Negative Entries

    Charles R. Johnson;Pablo Tarazaga

  • The singular values of a Hadamard product : a basic inequality

    T. Ando;Roger A. Horn;Charles R. Johnson

  • On the Minimum Rank Among Positive Semidefinite Matrices with a Given Graph

    Matthew Booth;Philip Hackney;Benjamin Harris;Charles R. Johnson

  • Sub-direct sums and positivity classes of matrices

    Shaun M. Fallat;Charles R. Johnson

  • Determinantal formulae for matrix completions associated with chordal graphs

    Wayne W. Barrett;Charles R. Johnson;Michael Lundquist;Michael Lundquist

  • The Real Positive Definite Completion Problem: Cycle Completability

    Wayne W. Barrett;Charles R. Johnson;Raphael Loewy

  • Further lower bounds for the smallest singular value

    Charles R. Johnson;Tomasz Szulc

Frequent Co-Authors

Roger A. Horn
Roger A. Horn University of Utah
P. van den Driessche
P. van den Driessche University of Victoria
Shaun M. Fallat
Shaun M. Fallat University of Regina
Henry Wolkowicz
Henry Wolkowicz University of Waterloo
Chi-Kwong Li
Chi-Kwong Li William & Mary
Miroslav Fiedler
Miroslav Fiedler Czech Academy of Sciences
Michael Neumann
Michael Neumann University of Connecticut
Juan Manuel Peña
Juan Manuel Peña University of Zaragoza
Leslie Hogben
Leslie Hogben Iowa State University
William K. Kaufmann
William K. Kaufmann AsystBio (United States)

External Links

Wikipedia of Charles R. Johnson Personal website of Charles R. Johnson

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Best Scientists Citing Charles R. Johnson

Chi-Kwong Li

Chi-Kwong Li

William & Mary

Publications: 94

P.P. Vaidyanathan

P.P. Vaidyanathan

California Institute of Technology

Publications: 73

Long Wang

Long Wang

Peking University

Publications: 71

Leslie Hogben

Leslie Hogben

Iowa State University

Publications: 68

Mahesh K. Varanasi

Mahesh K. Varanasi

University of Colorado Boulder

Publications: 68

Wei Ren

Wei Ren

University of California, Riverside

Publications: 61

Guanrong Chen

Guanrong Chen

City University of Hong Kong

Publications: 57

Ali H. Sayed

Ali H. Sayed

École Polytechnique Fédérale de Lausanne

Publications: 56

Jinde Cao

Jinde Cao

Southeast University

Publications: 54

Shaun M. Fallat

Shaun M. Fallat

University of Regina

Publications: 52

Mehran Mesbahi

Mehran Mesbahi

University of Washington

Publications: 48

Helmut Bölcskei

Helmut Bölcskei

ETH Zurich

Publications: 46

Martin J. Wainwright

Martin J. Wainwright

MIT

Publications: 44

P. van den Driessche

P. van den Driessche

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Publications: 44

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Publications: 43

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