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Computer Science

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Citations
4621
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12692
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Mathematics

D-Index
33
Citations
4861
World Ranking
3040
National Ranking
14

Overview

Helmut Prodinger is affiliated with Stellenbosch University in South Africa. Their research spans the fields of Mathematics and Computer Science, with a significant focus on Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, and Geometry and Topology. Other notable subfields include Mathematical Physics and Algebra and Number Theory.

Their recent publications demonstrate continued contributions to combinatorial mathematics. Notable papers include:

  • Partial Skew Dyck Paths: A Kernel Method Approach (2022), published in Graphs and Combinatorics
  • Deutsch paths and their enumeration (2021), published in Open Journal of Discrete Applied Mathematics
  • On \(k\)-Dyck Paths with a Negative Boundary (2024), published in Journal of Combinatorial Mathematics and Combinatorial Computing
  • Skew Dyck Paths With Catastrophes (2022), published in Discrete Mathematics Letters
  • Enumeration of S-Motzkin paths from left to right and from right to left: a kernel method approach (2020), published in Pure mathematics and applications

Frequent co-authors collaborating with Prodinger include:

  • Jean-Luc Baril
  • Nancy S. S. Gu
  • Zurab Janelidze
  • Francois Van Niekerk
  • Sarah J. Selkirk

Prodinger has published extensively in various venues, with a notable number of contributions to arXiv (Cornell University). Other frequent publication venues are:

  • Enumerative Combinatorics and Applications
  • Notes on Number Theory and Discrete Mathematics
  • Open Journal of Discrete Applied Mathematics
  • Discrete Mathematics Letters

The main research topics covered by Prodinger reflect an emphasis on advanced and applied combinatorial mathematics. These topics include:

  • Advanced Combinatorial Mathematics
  • Stochastic processes and statistical mechanics
  • Topological and Geometric Data Analysis
  • Mathematics and Applications
  • Semigroups and automata theory
  • Advanced Mathematical Identities
  • Advanced Mathematical Theories and Applications

Best Publications

  • Fibonacci numbers of graphs

    Helmut Prodinger;Robert Tichy

  • Mellin transforms and asymptotics: digital sums

    Philippe Flajolet;Peter Grabner;Peter Kirschenhofer;Helmut Prodinger

  • Spanning tree formulas and chebyshev polynomials

    Francis T. Boesch;Helmut Prodinger

  • On Ramanujan's Q -function

    Philippe Flajolet;Peter J. Grabner;Peter Kirschenhofer;Helmut Prodinger

  • How to select a loser

    Helmut Prodinger

  • Combinatorics of geometrically distributed random variables: left-to-right maxima

    Helmut Prodinger

  • The path length of random skip lists

    Peter Kirschenhofer;Helmut Prodinger

  • Level number sequences for trees

    P. Flajolet;H. Prodinger

  • On Carlitz Compositions

    A. Knopfmacher;H. Prodinger

  • On the variance of the external path length in a symmetric digital trie

    P. Kirschenhofer;H. Prodinger;W. Szpankowski

  • Analysis of Hoare's FIND algorithm with median-of-three partition

    P. Kirschenhofer;H. Prodinger;C. Martínez

  • Register allocation for unary binary trees

    P. Flajolet;H. Prodinger

  • Level of nodes in increasing trees revisited

    Alois Panholzer;Helmut Prodinger

  • ON SOME APPLICATIONS OF FORMULAE OF RAMANUJAN IN THE ANALYSIS OF ALGORITHMS

    P. Kirschenhofer;H. Prodinger

  • Some Further Results on Digital Search Trees

    Peter Kirschenhofer;Helmut Prodinger

  • A result in order statistics related to probabilistic counting

    Peter Kirschenhofer;Helmut Prodinger

  • Digital Search Trees Again Revisited: The Internal Path Length Perspective

    Peter Kirschenhofer;Helmut Prodinger;Wojciech Szpankowski

  • Sparse universal graphs for bounded-degree graphs

    Noga Alon;Michael Capalbo

  • The number of winners in a discrete geometrically distributed sample

    Peter Kirschenhofer;Helmut Prodinger

  • Comparisons in Hoare's Find Algorithm

    Peter Kirschenhofer;Helmut Prodinger

  • On the balance property of Patricia tries: external path length viewpoint

    Peter Kirschenhofer;H. Prodinger;Wojciech Szpankowski

  • FIBONACCI NUMBERS OF GRAPHS: II

    Peter Kirschenhofer;Helmut Prodinger;Robert F. Tichy

Frequent Co-Authors

Wojciech Szpankowski
Wojciech Szpankowski Purdue University West Lafayette
Philippe Flajolet
Philippe Flajolet French Institute for Research in Computer Science and Automation - INRIA
Carsten Schneider
Carsten Schneider Johannes Kepler University of Linz
Richard P. Brent
Richard P. Brent Australian National University
Jeffrey Shallit
Jeffrey Shallit University of Waterloo
George E. Andrews
George E. Andrews Pennsylvania State University
Toufik Mansour
Toufik Mansour University of Haifa

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