Open access peer-reviewed Edited Volume

New Trends in Combinatorics - Theory, Algorithms, Applications

Bruno Carpentieri

Free University of Bozen-Bolzano

An applied mathematician with several years of research experience in numerical modeling of real-world problems in both academic and industrial contexts. Dr. Carpentieri has spent his academic career in universities across Italy, France, Austria, and the UK. He is a consultant for European projects, a member of the scientific advisory board of international conference panels, and an editorial board member of scientific journals.


Permutations and Combinations Functions and Relations Number Properties Graph Coloring Algorithmic Aspects Linear Programming Integer Programming Information Systems Sparse Matrices Reordering Parallel Solvers Algebraic Multigrid Combinatorial Geometry

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About the book

Combinatorial mathematics primarily deals with combining and arranging countable collections of finite sets or structures. The fundamental principles of counting, such as permutations and combinations, are deeply rooted in ancient Chinese, Hindu, Arab and Jewish cultures. In the last two decades, the subject has grown up rapidly reaching the level of a mature field of mathematics, but also thanks to the recognition of outstanding mathematicians who have been awarded Fields Medals for making extensive use of methods from combinatorial theory (e.g. Timothy Gowers in 1998 and Terence Tao in 2006).

Combinatorics has links with several other mathematics area, for example, with graph theory, linear algebra, probability, discrete optimisation, coding theory, designs theory, finite geometry, topology, cryptography, to name only a few. This development has been vigorously accelerated by the advent of digital computers, and is greatly benefiting from synergies with the emerging areas of machine and deep learning, artificial intelligence, intelligent systems.

The book collects research papers from world leading experts in combinatorial mathematics, highlighting ongoing trends, progress and open problems in this fascinating and critically important area of modern science. Since theory is often motivated primarily by examples, considerable attention will be given to applied problems.

Publishing process

Book initiated and editor appointed

Date completed: September 10th 2021

Applications to edit the book are assessed and a suitable editor is selected, at which point the process begins.

Chapter proposals submitted and reviewed

Deadline for chapter proposals: October 8th 2021

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Deadline for full chapters: December 7th 2021

Once approved by the academic editor and publishing review team, chapters are written and submitted according to pre-agreed parameters

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Review results due: February 25th 2022

Full chapter manuscripts are screened for plagiarism and undergo a Main Editor Peer Review. Results are sent to authors within 30 days of submission, with suggestions for rounds of revisions.

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Expected publication date: April 26th 2022

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About the editor

Bruno Carpentieri

Free University of Bozen-Bolzano

Bruno Carpentieri obtained a laurea degree in Applied Mathematics in 1997 from Bari University, Italy. He obtained a Ph.D. in Computer Science from the Institut National Polytechnique de Toulouse (INPT), France. After some post-doctoral experiences, Dr. Carpentieri served as an assistant professor at the Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, the Netherlands, and as a reader in Applied Mathematics at Nottingham Trent University, United Kingdom. Since May 2017, he has been an associate professor of Applied Mathematics at the Faculty of Computer Science, Free University of Bozen-Bolzano, Italy. His research interests include applied mathematics, numerical linear algebra, and high-performance computing. Dr. Carpentieri has served on several scientific advisory boards in computational mathematics. He is an editorial board member of the Journal of Applied Mathematics, an editorial committee member of Mathematical Reviews (American Mathematical Society) and a reviewer for about thirty scientific journals in numerical analysis. He has co-authored fifty publications in peer-reviewed scientific journals.

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Book chapters authored 2

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As an Author Service Manager my responsibilities include monitoring and facilitating all publishing activities for authors and editors. From chapter submission and review, to approval and revision, copyediting and design, until final publication, I work closely with authors and editors to ensure a simple and easy publishing process. I maintain constant and effective communication with authors, editors and reviewers, which allows for a level of personal support that enables contributors to fully commit and concentrate on the chapters they are writing, editing, or reviewing. I assist authors in the preparation of their full chapter submissions and track important deadlines and ensure they are met. I help to coordinate internal processes such as linguistic review, and monitor the technical aspects of the process. As an ASM I am also involved in the acquisition of editors. Whether that be identifying an exceptional author and proposing an editorship collaboration, or contacting researchers who would like the opportunity to work with IntechOpen, I establish and help manage author and editor acquisition and contact.

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