Concepedia

Counterexample Proofs

Counterexample Proofs is a methodological framework in geometric proof that refutes a general statement by constructing a specific instance that violates its conditions, thereby demonstrating the statement's invalidity through logical contradiction.

89

Publications

3.5K

Citations

151

Authors

109

Institutions

Publications per year

2017–2026

11

Parents

Publications

89

Convergence theory for fuzzy c-means: Counterexamples and repairs

James C. Bezdek, Richard J. Hathaway, Michael J. Sabin et al. · IEEE Transactions on Systems Man and Cybernetics · 1987 · 453 citations

, , +13

Vizing's conjecture: a survey and recent results

Boštjan Brešar, Paul Dorbec, Wayne Goddard et al. · Journal of Graph Theory · 2011 · 136 citations · Full text

, , +11

An Elementary Counterexample to the Finiteness Conjecture

Vincent D. Blondel, Jacques Theys, Alexander Vladimirov · SIAM Journal on Matrix Analysis and Applications · 2003 · 127 citations

, , +10

On delayed sharing patterns

Pravin Varaiya, Jean Walrand · IEEE Transactions on Automatic Control · 1978 · 106 citations

, , +6

A Polynomial Counterexample to the Markus–Yamabe Conjecture

Anna Cima, Arno van den Essen, Armengol Gasull et al. · Advances in Mathematics · 1997 · 106 citations

, , +10

1–5 of 89

Authors

151

  1. PR
    Prasad Raghavendra

    University of California, Berkeley, United States

    2 publications · 29 citations

    2

    h-index

  2. JC
    Jeff Cheeger

    Courant Institute of Mathematical Sciences, United States

    2 publications · 109 citations

    2

    h-index

  3. CL
    C. Lanier Benkard

    Stanford University, United States

    2 publications · 71 citations

    2

    h-index

  4. SS
    Sergio Scarlatti

    University of Rome Tor Vergata, Italy

    2 publications · 46 citations

    2

    h-index

  5. DG
    Daniele Guido

    University of Rome Tor Vergata, Italy

    2 publications · 46 citations

    2

    h-index

1–5 of 151

Institutions

109

  1. The University of Western Australia

    Perth, Australia

    3 h-index

    4 publications

    180 citations

  2. Courant Institute of Mathematical Sciences

    New York, United States

    2 h-index

    3 publications

    175 citations

  3. University of Nottingham

    Nottingham, United Kingdom

    2 h-index

    2 publications

    31 citations

  4. University of Rome Tor Vergata

    Rome, Italy

    2 h-index

    3 publications

    48 citations

  5. University of California, Davis

    Davis, United States

    2 h-index

    2 publications

    85 citations

  6. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    2 h-index

    3 publications

    42 citations

  7. Massachusetts Institute of Technology

    Cambridge, United States

    2 h-index

    2 publications

    65 citations

  8. Northeastern University

    Boston, United States

    2 h-index

    3 publications

    145 citations

1–8 of 109

Venues

  1. arXiv (Cornell University)

    Repository · 5 publications · 104 citations

    5

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 5 publications · 144 citations

    5

    h-index

  3. ArXiv.org

    Repository · 4 publications · 107 citations

    4

    h-index

  4. 3

    h-index

  5. The Journal of Mathematical Behavior

    JMB · 3 publications · 122 citations

    3

    h-index

1–5