What is he best known for?
The fields of study he is best known for:
- Combinatorics
- Algebra
- Mathematical analysis
The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Generating function, Catalan number and Chebyshev polynomials.
His Combinatorics research integrates issues from Function and Fraction.
His studies in Discrete mathematics integrate themes in fields like Sequence and Word.
His Generating function research is multidisciplinary, relying on both Integer lattice and Lattice path.
Toufik Mansour combines subjects such as Partition of a set and Integer with his study of Catalan number.
His study explores the link between Chebyshev polynomials and topics such as Classical orthogonal polynomials that cross with problems in Golomb–Dickman constant and Chebyshev nodes.
His most cited work include:
- Restricted 132-Avoiding Permutations (102 citations)
- Combinatorics of Compositions and Words (96 citations)
- Combinatorics of Set Partitions (79 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Combinatorics, Discrete mathematics, Generating function, Permutation and Chebyshev polynomials.
The study of Combinatorics is intertwined with the study of Sequence in a number of ways.
In the field of Discrete mathematics, his study on Fibonacci number overlaps with subjects such as Kernel method.
His Chebyshev polynomials study typically links adjacent topics like Classical orthogonal polynomials.
Within one scientific family, Toufik Mansour focuses on topics pertaining to Algebra under Classical orthogonal polynomials, and may sometimes address concerns connected to Pure mathematics.
He regularly ties together related areas like Combinatorial proof in his Algebraic number studies.
He most often published in these fields:
- Combinatorics (76.58%)
- Discrete mathematics (39.49%)
- Generating function (17.09%)
What were the highlights of his more recent work (between 2017-2021)?
- Combinatorics (76.58%)
- Enumeration (8.21%)
- Degree (3.08%)
In recent papers he was focusing on the following fields of study:
Toufik Mansour mainly focuses on Combinatorics, Enumeration, Degree, Generating function and Discrete mathematics.
The Graph research Toufik Mansour does as part of his general Combinatorics study is frequently linked to other disciplines of science, such as Kernel method, therefore creating a link between diverse domains of science.
His biological study spans a wide range of topics, including Probabilistic method, Representation, Statistics, Finite-state machine and Polynomial.
As part of the same scientific family, he usually focuses on Degree, concentrating on Simple and intersecting with Finite collection and Visibility graph.
His study connects Algebraic number and Generating function.
Toufik Mansour interconnects Distribution and Conjecture in the investigation of issues within Class.
Between 2017 and 2021, his most popular works were:
- Calculating genus polynomials via string operations and matrices (9 citations)
- Counting water cells in bargraphs of compositions and set partitions (6 citations)
- On the genus distributions of wheels and of related graphs (6 citations)
In his most recent research, the most cited papers focused on:
- Combinatorics
- Algebra
- Mathematical analysis
Toufik Mansour mostly deals with Combinatorics, Discrete mathematics, Enumeration, Structure and Order.
His work deals with themes such as Polynomial and Algebraic number, which intersect with Combinatorics.
Many of his research projects under Discrete mathematics are closely connected to Stack with Stack, tying the diverse disciplines of science together.
His studies deal with areas such as Functional equation and Regular polygon as well as Enumeration.
His study in Structure is interdisciplinary in nature, drawing from both Stochastic process and Limit.
His Order study incorporates themes from Permutation, Variable, Integer sequence and Differential equation.
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