Add to ORKGPartitions of an integer have found extensive application in combinatorics [1, 14, 17], group representation theory [6, 13, 15], and the theory of algorithms [10, 12]. The component parts of a partition can be arranged linearly, in the plane or even associated with the elements of an arbitrary partially ordered set. One of the important propertie
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
The focus of this thesis lies on the application of enumerative combinatorics to the partition latti...
We determine the generating functions of the classes of integer partitions whose Ferrers diagrams fi...
The combinatorial theory of partitions has a number of applications including the representation the...
summary:Let $S$ be a non-empty subset of positive integers. A partition of a positive integer $n$ ...
AbstractWe enumerate set partitions by strings of consecutive elements, or successions, and obtain a...
Knowledge about combinatorics, integers, nested patterns, number theory, representations of numbers ...
The goal of enumerative combinatorics is to count the number of some well described objects. We exte...
Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Par...
AbstractThis article investigates a remarkable generalization of the generating function that enumer...
AbstractA partition graph is an intersection graph for a collection of subsets of auniversal set S w...
AbstractA simple combinatorial argument, based upon the graphic representation of partitions, leads ...
Partitions of the set {1,2,...,n} are classified as having successions if a block contains con-secut...
Partitions of the set {1,2,...,n} are classified as having successions if a block contains con-secut...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
The focus of this thesis lies on the application of enumerative combinatorics to the partition latti...
We determine the generating functions of the classes of integer partitions whose Ferrers diagrams fi...
The combinatorial theory of partitions has a number of applications including the representation the...
summary:Let $S$ be a non-empty subset of positive integers. A partition of a positive integer $n$ ...
AbstractWe enumerate set partitions by strings of consecutive elements, or successions, and obtain a...
Knowledge about combinatorics, integers, nested patterns, number theory, representations of numbers ...
The goal of enumerative combinatorics is to count the number of some well described objects. We exte...
Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Par...
AbstractThis article investigates a remarkable generalization of the generating function that enumer...
AbstractA partition graph is an intersection graph for a collection of subsets of auniversal set S w...
AbstractA simple combinatorial argument, based upon the graphic representation of partitions, leads ...
Partitions of the set {1,2,...,n} are classified as having successions if a block contains con-secut...
Partitions of the set {1,2,...,n} are classified as having successions if a block contains con-secut...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
The focus of this thesis lies on the application of enumerative combinatorics to the partition latti...