Concepedia

Graph Decompositions

Graph decomposition is a method in graph theory that partitions a graph into a collection of subgraphs or edge-disjoint substructures according to specific structural or connectivity constraints, enabling the analysis of complex networks through simpler, constituent components.

1.1K

Publications

70.8K

Citations

1.9K

Authors

788

Institutions

Publications per year

2017–2026

171

Variants

Graph Decomposition

Parents

Publications

1.1K

A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs

George Karypis, Vipin Kumar · SIAM Journal on Scientific Computing · 1998 · 5.7K citations

, , +10

An Efficient Heuristic Procedure for Partitioning Graphs

Brian W. Kernighan, Shang Min Lin · Bell System Technical Journal · 1970 · 5.3K citations

, , +17

Partitioning Sparse Matrices with Eigenvectors of Graphs

Alex Pothen, Horst D. Simon, K. N. Liou · SIAM Journal on Matrix Analysis and Applications · 1990 · 1.7K citations

, , +16

Multilevelk-way Partitioning Scheme for Irregular Graphs

George Karypis, Vipin Kumar · Journal of Parallel and Distributed Computing · 1998 · 1.7K citations

, , +9

A Linear-Time Algorithm for Finding Tree-Decompositions of Small Treewidth

Hans L. Bodlaender · SIAM Journal on Computing · 1996 · 1.6K citations

, , +11

1–5 of 1.1K

Authors

1.9K

  1. RE
    Robert E. Tarjan

    Princeton University, United States

    10 publications · 4.7K citations

    10

    h-index

  2. XL
    Xuemin Lin

    UNSW Sydney, Australia

    10 publications · 562 citations

    10

    h-index

  3. DB
    Darryn Bryant

    The University of Queensland, Australia

    10 publications · 355 citations

    10

    h-index

  4. LQ
    Lu Qin

    University of Technology Sydney, Australia

    8 publications · 514 citations

    8

    h-index

  5. CA
    C. A. Rodger

    Auburn University, United States

    8 publications · 139 citations

    8

    h-index

1–5 of 1.9K

Institutions

788

  1. Centre National de la Recherche Scientifique

    Paris, France

    19 h-index

    58 publications

    2.4K citations

  2. Carnegie Mellon University

    Pittsburgh, United States

    17 h-index

    34 publications

    2.1K citations

  3. The University of Queensland

    Brisbane, Australia

    15 h-index

    36 publications

    1.2K citations

  4. University of Waterloo

    Waterloo, Canada

    14 h-index

    22 publications

    1.7K citations

  5. Massachusetts Institute of Technology

    Cambridge, United States

    14 h-index

    23 publications

    1.8K citations

  6. University of California, Berkeley

    Berkeley, United States

    14 h-index

    31 publications

    2.1K citations

  7. Tel Aviv University

    Tel Aviv, Israel

    14 h-index

    24 publications

    874 citations

  8. University of Oxford

    Oxford, United Kingdom

    13 h-index

    21 publications

    573 citations

1–8 of 788

Venues

  1. Journal of Graph Theory

    52 publications · 1.7K citations

    27

    h-index

  2. Discrete Mathematics

    79 publications · 2.3K citations

    24

    h-index

  3. Journal of Combinatorial Theory Series B

    50 publications · 2.1K citations

    23

    h-index

  4. Discrete Applied Mathematics

    38 publications · 1.1K citations

    21

    h-index

  5. SIAM Journal on Discrete Mathematics

    28 publications · 1.1K citations

    19

    h-index

1–5