Concepedia

Farey Graphs

Farey Graphs is a mathematical construct in graph theory that represents the adjacency relations between fractions in the Farey sequence, where each vertex corresponds to a fraction and edges connect pairs of fractions that are consecutive in some Farey sequence.

14

Publications

324

Citations

25

Authors

24

Institutions

Publications per year

2017–2026

1

Variants

Farey Graph

Parents

Publications

14

Farey graphs as models for complex networks

Zhongzhi Zhang, Francesc Comellas · Theoretical Computer Science · 2010 · 51 citations · Full text

, , +12

Counting spanning trees in a small-world Farey graph

Zhongzhi Zhang, Bin Wu, Lin Yuan · Physica A Statistical Mechanics and its Applications · 2012 · 43 citations · Full text

, , +10

A walk along the branches of the extended Farey Tree

Jeffrey C. Lagarias, Charles Tresser · IBM Journal of Research and Development · 1995 · 35 citations

, , +5

On consecutive Farey arcs

Robert E. Hall, Gérald Tenenbaum · Acta Arithmetica · 1984 · 34 citations · Full text

, , +4

Generalized Farey Trees, Transfer Operators and Phase Transitions

Mirko Degli Esposti, Stefano Isola, Andreas Knauf · Communications in Mathematical Physics · 2007 · 29 citations

, , +14

1–5 of 14

Authors

25

  1. ZZ
    Zhongzhi Zhang

    Fudan University, China

    2 publications · 94 citations

    2

    h-index

  2. JA
    Javier Aramayona

    Ollscoil na Gaillimhe – University of Galway, Ireland

    2 publications · 24 citations

    2

    h-index

  3. RE
    Robert E. Hall

    Hoover Institution, United States

    2 publications · 50 citations

    2

    h-index

  4. KJ
    Kenneth J. Shackleton

    École Polytechnique Fédérale de Lausanne, Switzerland

    2 publications · 24 citations

    2

    h-index

  5. HP
    Hugo Parlier

    University of Fribourg, Switzerland

    2 publications · 24 citations

    2

    h-index

1–5 of 25

Institutions

24

  1. Fudan University

    Shanghai, China

    2 h-index

    4 publications

    180 citations

  2. École Polytechnique Fédérale de Lausanne

    Lausanne, Switzerland

    2 h-index

    2 publications

    24 citations

  3. University of Michigan

    Ann Arbor, United States

    1 h-index

    1 publications

    18 citations

  4. University of York

    York, United Kingdom

    1 h-index

    1 publications

    16 citations

  5. The University of Tokyo

    Tokyo, Japan

    1 h-index

    1 publications

    10 citations

  6. Utrecht University

    Utrecht, The Netherlands

    1 h-index

    3 publications

    54 citations

  7. Università di Camerino

    Camerino, Italy

    1 h-index

    1 publications

    29 citations

  8. Turing Institute

    Glasgow, United Kingdom

    1 h-index

    1 publications

    18 citations

1–8 of 24

Venues

  1. Acta Arithmetica

    3 publications · 70 citations

    3

    h-index

  2. 1

    h-index

  3. Europhysics Letters (EPL)

    1 publications · 13 citations

    1

    h-index

  4. 1

    h-index

  5. The Scientific World JOURNAL

    TSWJ · 1 publications · 17 citations

    1

    h-index

1–5