Arnold Knopfmacher

Orcid: 0000-0003-1962-043X

Affiliations:
  • University of Witwatersrand, Johannesburg, South Africa


According to our database1, Arnold Knopfmacher authored at least 52 papers between 1993 and 2022.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of two.

Timeline

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Bibliography

2022
Protected Cells in Compositions.
Math. Comput. Sci., 2022

Alphabetic points in restricted growth functions.
Discret. Appl. Math., 2022

Pushes in words-a primitive sorting algorithm.
Contributions Discret. Math., 2022

2021
Impulse Propagation in Compositions and Words.
Int. J. Math. Math. Sci., 2021

2020
The Depth of Compositions.
Math. Comput. Sci., 2020

Counting Permutations by the Number of Vertical Edges in Their Bargraphs.
J. Autom. Lang. Comb., 2020

The number of distinct adjacent pairs in geometrically distributed words.
Discret. Math. Theor. Comput. Sci., 2020

A simple sorting algorithm for compositions.
Discret. Math. Algorithms Appl., 2020

Water capacity of Dyck paths.
Adv. Appl. Math., 2020

2017
The perimeter of words.
Discret. Math., 2017

2016
Partitions according to multiplicities and part sizes.
Australas. J Comb., 2016

2015
The height and width of bargraphs.
Discret. Appl. Math., 2015

Greatest Descents after any Maxima in Compositions.
Electron. J. Comb., 2015

Levels in bargraphs.
Ars Math. Contemp., 2015

2014
Descents after maxima in compositions.
Discret. Math. Theor. Comput. Sci., 2014

A General Asymptotic Scheme for the Analysis of Partition Statistics.
Comb. Probab. Comput., 2014

The Largest Missing Value in a Sample of Geometric Random Variables.
Comb. Probab. Comput., 2014

2013
Descent variation of samples of geometric variables.
Discret. Math. Theor. Comput. Sci., 2013

2012
Variation Statistics on Compositions.
Fundam. Informaticae, 2012

Record statistics in a random composition.
Discret. Appl. Math., 2012

Permutations with interval cycles.
Ars Comb., 2012

2011
The largest missing value in a composition of an integer.
Discret. Math., 2011

2010
Records in Set Partitions.
Electron. J. Comb., 2010

2009
The distribution of ascents of size d or more in compositions.
Discret. Math. Theor. Comput. Sci., 2009

2008
The Distribution of Ascents of Size <i>d</i> or More in Partitions of <i>n</i>.
Comb. Probab. Comput., 2008

On Multi-Color Partitions with Distinct Parts.
Ars Comb., 2008

2007
Graphs, partitions and Fibonacci numbers.
Discret. Appl. Math., 2007

The Last Descent In Samples Of Geometric Random Variables And Permutations.
Ars Comb., 2007

2006
The number of distinct values in a geometrically distributed sample.
Eur. J. Comb., 2006

The first descent in samples of geometric random variables and permutations.
Discret. Math. Theor. Comput. Sci., 2006

2005
Gap-free compositions and gap-free samples of geometric random variables.
Discret. Math., 2005

with parts constrained by the leading summand.
Ars Comb., 2005

2004
Gap-Free Samples of Geometric Random Variables.
Proceedings of the Sixth Workshop on Algorithm Engineering and Experiments and the First Workshop on Analytic Algorithmics and Combinatorics, 2004

2003
Combinatorics of geometrically distributed random variables: run statistics.
Theor. Comput. Sci., 2003

2002
Mathematica evidence that Ramanujan kills Baker-Gammel-Wills.
Appl. Math. Comput., 2002

2001
Combinatorics of geometrically distributed random variables: Value and position of the rth left-to-right maximum.
Discret. Math., 2001

A Simple Card Guessing Game Revisited.
Electron. J. Comb., 2001

An Algorithmic Approach to Discovering and Proving q-Series Identities.
Algorithmica, 2001

2000
An Infinite Family of Engel Expansions of Rogers-Ramanujan Type.
Adv. Appl. Math., 2000

Run Statistics for Geometrically Distributed Random Variables (Extended Abstract).
Proceedings of the LATIN 2000: Theoretical Informatics, 2000

1999
Arithmetical Semigroups Related to Trees and Polyhedra.
J. Comb. Theory, Ser. A, 1999

On the degrees of irreducible factors of polynomials over a finite field.
Discret. Math., 1999

The Asymptotic Number of Set Partitions with Unequal Block Sizes.
Electron. J. Comb., 1999

Compositions With m Distinct Parts.
Ars Comb., 1999

1998
On Carlitz Compositions.
Eur. J. Comb., 1998

Nets and Sequences Obtained from Irreducible Polynomials Over Finite Fields.
Appl. Algebra Eng. Commun. Comput., 1998

1997
Distinct degree factorizations for polynomials over a finite field.
SIGSAM Bull., 1997

1996
Covers of finite sets with distinct block sizes.
Ars Comb., 1996

Counting permutations and polynomials with a restricted factorization pattern.
Australas. J Comb., 1996

1993
Reciprocal Sums over Partitions and Compositions.
SIAM J. Discret. Math., 1993

Counting irreducible factors of polynomials over a finite field.
Discret. Math., 1993

On the cyclotomic identity and related product expansions.
Australas. J Comb., 1993


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