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American Mathematical Monthly
H-index 7

American Mathematical Monthly

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 378 39 82 7

Additional Metrics

Number of Best Scientists*: 49
Documents by Best Scientists*: 90
Top 100 Ranked Scientists*: 5
SCIMAGO H-index: 56
SCIMAGO SJR: 0.264
Impact Factor: 0.4

Overview

Top Research Topics at American Mathematical Monthly?

The aim of American Mathematical Monthly is to expand the discussion of research in Combinatorics, Pure mathematics, Discrete mathematics, Mathematical analysis and Algebra.

  • Combinatorics (13.14%)
  • Pure mathematics (11.92%)
  • Discrete mathematics (7.29%)

What are the most cited papers published in the journal?

  • Combinatorial optimization: algorithms and complexity (5743 citations)
  • College Admissions and the Stability of Marriage (4782 citations)
  • Introduction to Multivariate Statistical Analysis. (2998 citations)

Research areas of the most cited articles at American Mathematical Monthly:

The most cited publications mostly deal with topics like Pure mathematics, Combinatorics, Discrete mathematics, Algebra and Calculus.

What topics the last edition of the journal is best known for?

  • World War II
  • Quantum mechanics
  • Mathematical analysis

The previous edition focused in particular on these issues:

The journal is mainly concerned with subjects like Combinatorics, Pure mathematics, Discrete mathematics, Mathematical proof and Algebra. Combinatorics research presented in American Mathematical Monthly encompasses a variety of subjects, including Cube, Generalization and Set (abstract data type). Some problems in Pure mathematics that were presented in it overlapped with concepts under Function (mathematics), Quadratic equation and Interval (mathematics).

Specifically, studies on Integer are prevalent in the Discrete mathematics works discussed. It explores research in Algebra and the adjacent study of Class (set theory).

The most cited articles from the last journal are:

  • When Is a Puiseux Monoid Atomic (22 citations)
  • How to Cut a Cake Fairly: A Generalization to Groups (4 citations)
  • Extremal Numbers of Cycles Revisited (3 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in American Mathematical Monthly (based on the number of publications) are:

  • Victor Thebault (331 papers) absent at the last edition,
  • Paul Erdös (116 papers) absent at the last edition,
  • Donald J. Newman (86 papers) absent at the last edition,
  • Albert Wilansky (74 papers) absent at the last edition,
  • Leonard Carlitz (70 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in American Mathematical Monthly (based on the number of publications) are:

  • University of Illinois at Urbana–Champaign (195 papers) published 2 papers at the last edition, 1 more than at the previous edition,
  • University of Washington (133 papers) published 1 paper at the last edition the same number as at the previous edition,
  • University of Wisconsin-Madison (127 papers) absent at the last edition,
  • University of Chicago (125 papers) absent at the last edition,
  • University of Michigan (123 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 20.43% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 9.46% were posted by at least one author from the top 10 institutions publishing in the journal. Another 5.41% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 6.76% of all publications and 78.38% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • An Upper Bound on the Size of Sidon Sets

    (2021)
    16 Citations
  • A Sharp Form of the Discrete Hardy Inequality and the Keller–Pinchover–Pogorzelski Inequality

    (2022)
    14 Citations
  • An Extension of Mantel’s Theorem to k-Graphs

    Zoltán Füredi;András Gyárfás

    (2020)
    14 Citations
  • The False Strategy Theorem: A Financial Application of Experimental Mathematics

    Marcos López de Prado;David H. Bailey

    (2021)
    9 Citations
  • Some Linear Recurrences Motivated by Stern’s Diatomic Array

    Richard P. Stanley

    (2020)
    7 Citations
  • How (Not) to Cut Your Cheese

    Imre Bárány;Péter Frankl

    (2021)
    7 Citations
  • Delone sets generated by square roots

    Jens Marklof

    (2020)
    7 Citations
  • How To Generalize (and Not To Generalize) the Chu–Vandermonde Identity

    Alan D. Sokal

    (2020)
    5 Citations
  • Descartes Circle Theorem, Steiner Porism, and Spherical Designs

    Richard Evan Schwartz;Serge Tabachnikov

    (2020)
    5 Citations
  • A Fractal Eigenvector

    (2021)
    5 Citations

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Best Scientists Contributing to This Journal