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Nicholas C. Wormald

Nicholas C. Wormald

D-Index & Metrics

Computer Science

D-Index
52
Citations
10384
World Ranking
5102
National Ranking
151

Mathematics

D-Index
53
Citations
10904
World Ranking
905
National Ranking
24

Overview

Nicholas C. Wormald is a researcher affiliated with Monash University in Australia. Their work spans the fields of Mathematics and Computer Science, with a total of 18 publications distributed between these main areas.

Their research delves deeply into several specialized subfields, including:

  • Statistics and Probability
  • Computational Theory and Mathematics
  • Discrete Mathematics and Combinatorics
  • Artificial Intelligence
  • Mathematical Physics

Major topics covered in their work consist of:

  • Limits and Structures in Graph Theory
  • Markov Chains and Monte Carlo Methods
  • Algorithms and Data Compression
  • Topological and Geometric Data Analysis
  • Advanced Graph Theory Research
  • Stochastic processes and statistical mechanics
  • Digital Image Processing Techniques

Wormald's recent papers demonstrate a consistent focus on random graph theory, combinatorics, and probabilistic methods. Notable publications include:

  • Fast uniform generation of random graphs with given degree sequences (2021), published in Random Structures and Algorithms
  • Component Games on Random Graphs (2022), published in COMBINATORICA
  • Linear-time uniform generation of random sparse contingency tables with specified marginals (2024), published in The Annals of Applied Probability
  • Component Games on Random Graphs (2020), published on arXiv (Cornell University)
  • Linear-time uniform generation of random sparse contingency tables with specified marginals (2021), also published on arXiv (Cornell University)

The frequent publication venues where Wormald's work appears reflect a strong focus on prominent platforms relevant to combinatorics, probability, and applied mathematics:

  • arXiv (Cornell University)
  • Random Structures and Algorithms
  • COMBINATORICA
  • The Annals of Applied Probability

The researcher has collaborated multiple times with several coauthors, indicating ongoing research partnerships. These frequent collaborators include:

  • Andrii Arman
  • Pu Gao
  • Rani Hod
  • Michael Krivelevich
  • Alon Naor

Best Publications

  • Sudden Emergence of a Giantk-Core in a Random Graph

    Boris Pittel;Joel Spencer;Nicholas Wormald

  • Differential Equations for Random Processes and Random Graphs

    Nicholas Charles Wormald

  • Edge crossings in drawings of bipartite graphs

    Peter Eades;Nicholas C. Wormald

  • Generating Random Regular Graphs Quickly

    A. Steger;N. C. Wormald

  • The differential equation method for random graph processes and greedy algorithms

    Nicholas Charles Wormald

  • Almost all regular graphs are hamiltonian

    R. W. Robinson;N. C. Wormald

  • Asymptotic enumeration by degree sequence of graphs with degrees o(n1/2)

    Brendan D. McKay;Nicholas C. Wormald

  • Uniform generation of random regular graphs of moderate degree

    Brendan D. McKay;Nicholas C. Wormald

  • Almost all cubic graphs are Hamiltonian

    R. W. Robinson;N. C. Wormald

  • The asymptotic distribution of short cycles in random regular graphs

    Nicholas C. Wormald

  • Some problems in the enumeration of labelled graphs

    Nicholas C. Wormald

  • The asymptotic connectivity of labelled regular graphs

    Nicholas C. Wormald

  • Short Cycles in Random Regular Graphs

    Brendan D. McKay;Nicholas C. Wormald;Nicholas C. Wormald;Beata Wysocka

  • Asymptotic enumeration by degree sequence of graphs of high degree

    B. D. McKay;N. C. Wormald

  • Geometric separator theorems and applications

    W.D. Smith;N.C. Wormald

  • On the hardness of sampling independent sets beyond the tree threshold

    Elchanan Mossel;Dror Weitz;Nicholas Wormald

  • Random regular graphs of high degree

    Michael Krivelevich;Benny Sudakov;Van H. Vu;Nicholas C. Wormald

  • A Family of Perfect Hashing Methods

    Bohdan S. Majewski;Nicholas C. Wormald;George Havas;Zbigniew J. Czech

  • Birth control for giants

    Joel Spencer;Nicholas Wormald

  • Random Graph Processes with Degree Restrictions

    Andrzej Rucinski;Nicholas C. Wormald

Frequent Co-Authors

Edward A. Bender
Edward A. Bender University of California, San Diego
Brendan D. McKay
Brendan D. McKay Australian National University
Boris Pittel
Boris Pittel The Ohio State University
Peter Eades
Peter Eades University of Sydney
Andrzej Ruciński
Andrzej Ruciński Adam Mickiewicz University in Poznań
Noga Alon
Noga Alon Tel Aviv University
Michael Krivelevich
Michael Krivelevich Tel Aviv University
Benny Sudakov
Benny Sudakov ETH Zurich
Itai Benjamini
Itai Benjamini Weizmann Institute of Science
Frank Harary
Frank Harary New Mexico State University

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