#### Filter Results:

- Full text PDF available (15)

#### Publication Year

2005

2017

- This year (1)
- Last 5 years (7)
- Last 10 years (19)

#### Publication Type

#### Co-author

#### Publication Venue

#### Key Phrases

Learn More

- Augustine O. Munagi
- Int. J. Math. Mathematical Sciences
- 2005

Partitions of the set {1, 2,...,n} are classified as having successions if a block contains consecutive integers, and separated otherwise. This paper constructs enumeration formulas for such set partitions and some variations using Stirling numbers of the second kind.

When the partitions of [n] = {1, 2,. .. , n} are identified with the restricted growth functions on [n], under a known bijection, certain enumeration problems for classical word statistics are formulated for set partitions. In this paper we undertake the enu-meration of partitions of [n] with respect to the number of occurrences of rises, levels and… (More)

- Toufik Mansour, Augustine O. Munagi
- Eur. J. Comb.
- 2010

This paper is devoted to a systematic study of combinatorial identities which assert the equality of different sets of compositions, or ordered partitions, of integers. The proofs are based on properties of zig-zag graphs the graphical representations of compositions introduced by Percy A. MacMahon in his classic book Combinatory Analysis. In particular it… (More)

We study a special partial fraction technique which is designed for rational functions with poles on the unit circle, known as q-fractions. Even though the theory of q-partial fractions has already been applied to the Rademacher Conjecture, no systematic computational development appeared. In this paper we present two algorithms for the computation of… (More)

- Augustine O. Munagi
- Eur. J. Comb.
- 2008

- Augustine O. Munagi
- Int. J. Math. Mathematical Sciences
- 2005

A collection {S 1 ,S 2 ,...} of nonempty sets is called a complementing system of subsets for a set X of nonnegative integers if every element of X can be uniquely expressed as a sum of elements of the sets S 1 ,S 2 ,.... We present a complete characterization of all complementing systems of subsets for the set of the first n nonnegative integers as well as… (More)

We classify compositions avoiding a single permutation pattern of type (2, 1) according to Wilf-equivalence and give the generating function for each of the Wilf classes.

The paper investigates the enumeration of the set AP(n) of partitions of a positive integer n in which the nondecreasing sequence of parts form an arithmetic progression. We establish formulas for such partitions, and characterize a class of integers n with the property that the length of every member of AP(n) divides n. We prove that the number of such… (More)

- Augustine O. Munagi
- Electr. J. Comb.
- 2009

The labeled factorizations of a positive integer n are obtained as a completion of the set of ordered factorizations of n. This follows a new technique for generating ordered factorizations found by extending a method for unordered factorizations that relies on partitioning the multiset of prime factors of n. Our results include explicit enumeration… (More)