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Graph Energy

by Xueliang Li, Yongtang Shi, Ivan Gutman ...

This book is about graph energy. The authors have included many of the important results on graph energy, such as the complete solution to the conjecture on maximal energy of unicyclic graphs, the Wagner-Heuberger’s result on the energy of trees, the energy of random graphs or the approach to energy using singular values. It contains an extensive coverage of recent results and a gradual ... Read more

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This book is about graph energy. The authors have included many of the important results on graph energy, such as the complete solution to the conjecture on maximal energy of unicyclic graphs, the Wagner-Heuberger’s result on the energy of trees, the energy of random graphs or the approach to energy using singular values. It contains an extensive coverage of recent results and a gradual
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by Carlo Cattani, Anouar Ben Mabrouk, Sabrine Arfaoui ...

Series Book 91 - Series On Advances In Mathematics For Applied Sciences
The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according ... Read more

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Combinatorics

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by Robin Wilson ...

Series series Very Short Introductions
How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting ... Read more

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How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting
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Computational Number Theory and Digital Signal Processing

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by Hari Krishna, Bal Krishna, Kuo-Yu Lin, Jenn-Dong Sun ...

Series series Computer Science & Engineering
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Applications of Fractional Calculus to Modeling in Dynamics and Chaos

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Applications of Fractional Calculus to Modeling in Dynamics and Chaos aims to present novel developments, trends, and applications of fractional-order derivatives with power law and Mittag-Leffler kernel in the areas of chemistry, mechanics, chaos, epidemiology, fluid mechanics, modeling, and engineering. Non-singular and non-local fractional-order derivatives have been applied in different ... Read more

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Applications of Fractional Calculus to Modeling in Dynamics and Chaos aims to present novel developments, trends, and applications of fractional-order derivatives with power law and Mittag-Leffler kernel in the areas of chemistry, mechanics, chaos, epidemiology, fluid mechanics, modeling, and engineering. Non-singular and non-local fractional-order derivatives have been applied in different
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The Star and the Whole

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by Fabrizio Palombi ...

The Star and the Whole: Gian-Carlo Rota on Mathematics and Phenomenology, authored by Fabrizio Palombi, is the first book to study Rota's philosophical reflection. Rota (1932-1999) was a leading figure in contemporary mathematics and an outstanding philosopher, inspired by phenomenology, who made fundamental contributions to combinatorial analysis, ... Read more

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The Star and the Whole: Gian-Carlo Rota on Mathematics and Phenomenology, authored by Fabrizio Palombi, is the first book to study Rota's philosophical reflection. Rota (1932-1999) was a leading figure in contemporary mathematics and an outstanding philosopher, inspired by phenomenology, who made fundamental contributions to combinatorial analysis,
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Deterministic and Stochastic Optimal Control and Inverse Problems

Edited by Baasansuren Jadamba, Akhtar A. Khan, Stanisław Migórski, Miguel Sama ...

Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications. A related problem of paramount importance is the optimal control problem for stochastic differential equations.This edited volume comprises invited contributions from world ... Read more

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Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications. A related problem of paramount importance is the optimal control problem for stochastic differential equations.This edited volume comprises invited contributions from world
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Erdös on Graphs

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by Fan Chung, Ron Graham, At&T Labs ...

This book is a tribute to Paul Erdos, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines the legacy of open problems he left to the world after his death in 1996. ... Read more

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This book is a tribute to Paul Erdos, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines the legacy of open problems he left to the world after his death in 1996.
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Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

by Jason J. Molitierno ...

Series series Discrete Mathematics and Its Applications
On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs.Applications of Combinatorial Matrix Theory to Laplacian Matrices o ... Read more

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On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs.Applications of Combinatorial Matrix Theory to Laplacian Matrices o
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An Introduction to Quasigroups and Their Representations

by Jonathan D. H. Smith ...

Series series Studies in Advanced Mathematics
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Collecting results scattered throughout the literature into one source, An Introduction to Quasigroups and Their Representations shows how representation theories for groups are capable of extending to general quasigroups and illustrates the added depth and richness that result from this extension. To fully understand representation theory,
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Quadratic Irrationals

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by Franz Halter-Koch ...

Series series Chapman & Hall/CRC Pure and Applied Mathematics
Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic orders, binary quadratic forms, and class groups.T ... Read more

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Naïve Set Theory

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by Fabio Ferrari Ruffino ...

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Series Book 2 - Series On Theoretical Computer Science
Matching problems with preferences are all around us: they arise when agents seek to be allocated to one another on the basis of ranked preferences over potential outcomes. Efficient algorithms are needed for producing matchings that optimise the satisfaction of the agents according to their preference lists.In recent years there has been a sharp increase in the study of algorithmic aspects of ... Read more

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Matching problems with preferences are all around us: they arise when agents seek to be allocated to one another on the basis of ranked preferences over potential outcomes. Efficient algorithms are needed for producing matchings that optimise the satisfaction of the agents according to their preference lists.In recent years there has been a sharp increase in the study of algorithmic aspects of
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Clifford algebras have many well-known applications in physics, engineering, and computer graphics. Zeon algebras are subalgebras of Clifford algebras whose combinatorial properties lend them to graph-theoretic applications such as enumerating minimal cost paths in dynamic networks. This book provides a foundational working knowledge of zeon algebras, their properties, and their potential
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This book is an expansion of our first book Introduction to Graph Theory: H3 Mathematics. While the first book was intended for capable high school students and university freshmen, this version covers substantially more ground and is intended as a reference and textbook for undergraduate studies in Graph Theory. In fact, the topics cover a few modules in the Graph Theory taught at the National
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Breakdown in Traffic Networks

Fundamentals of Transportation Science

by Boris S. Kerner ...

This book offers a detailed investigation of breakdowns in traffic and transportation networks. It shows empirically that transitions from free flow to so-called synchronized flow, initiated by local disturbances at network bottlenecks, display a nucleation-type behavior: while small disturbances in free flow decay, larger ones grow further and lead to breakdowns at the bottlenecks. Further, it ... Read more

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This book offers a detailed investigation of breakdowns in traffic and transportation networks. It shows empirically that transitions from free flow to so-called synchronized flow, initiated by local disturbances at network bottlenecks, display a nucleation-type behavior: while small disturbances in free flow decay, larger ones grow further and lead to breakdowns at the bottlenecks. Further, it
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Applications of Blockchain Technology

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This book explores the transformative potential of blockchain technology and shows how blockchain can promote equitable access to resources and bridge societal gaps. It examines blockchain's role in enhancing transparency, security, and decentralisation across various sectors and in society. The book addresses both the advancements and challenges of blockchain, providing practical use cases to ... Read more

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This book explores the transformative potential of blockchain technology and shows how blockchain can promote equitable access to resources and bridge societal gaps. It examines blockchain's role in enhancing transparency, security, and decentralisation across various sectors and in society. The book addresses both the advancements and challenges of blockchain, providing practical use cases to
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Software per la minimizzazione di reti logiche e macchine sequenziali

by Dario Mazzeo ...

In questo libro vengono accennati alcuni concetti teorici sulle reti logiche per introdurre un possibile algoritmo di risoluzione capace di minimizzazione una rete combinatoria o sequenziale. Il software a corredo è descritto nei dettagli implementativi e completo di esempi pratici nel suo utilizzo. ... Read more

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In questo libro vengono accennati alcuni concetti teorici sulle reti logiche per introdurre un possibile algoritmo di risoluzione capace di minimizzazione una rete combinatoria o sequenziale. Il software a corredo è descritto nei dettagli implementativi e completo di esempi pratici nel suo utilizzo.
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Monomial Algebras

by Rafael H. Villarreal ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Monomial Algebras presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs.New to the Third EditionTwo full new chapters covering linear and Reed–Muller-type codes ... Read more

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Monomial Algebras presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs.New to the Third EditionTwo full new chapters covering linear and Reed–Muller-type codes
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Introduction to Series and Basic Statistics

by Simone Malacrida ...

The theoretical assumptions of the following mathematical topics are presented in this book:numerical successionsnumerical seriescombinatorial calculuselementary statisticsEach topic is treated by emphasizing practical applications and solving some significant exercises. ... Read more

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Signals and Systems Primer with MATLAB

by Alexander D. Poularikas ...

Series series Electrical Engineering & Applied Signal Processing Series
Signals and Systems Primer with MATLAB® equally emphasizes the fundamentals of both analog and digital signals and systems. To ensure insight into the basic concepts and methods, the text presents a variety of examples that illustrate a wide range of applications, from microelectromechanical to worldwide communication systems. It also provides MATLAB functions and procedures for practice and ... Read more

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Signals and Systems Primer with MATLAB® equally emphasizes the fundamentals of both analog and digital signals and systems. To ensure insight into the basic concepts and methods, the text presents a variety of examples that illustrate a wide range of applications, from microelectromechanical to worldwide communication systems. It also provides MATLAB functions and procedures for practice and
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Authentication Codes and Combinatorial Designs

by Dingyi Pei ...

Series series Discrete Mathematics and Its Applications
Researchers and practitioners of cryptography and information security are constantly challenged to respond to new attacks and threats to information systems. Authentication Codes and Combinatorial Designs presents new findings and original work on perfect authentication codes characterized in terms of combinatorial designs, namely strong partially ... Read more

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Researchers and practitioners of cryptography and information security are constantly challenged to respond to new attacks and threats to information systems. Authentication Codes and Combinatorial Designs presents new findings and original work on perfect authentication codes characterized in terms of combinatorial designs, namely strong partially
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Mathematical Recreations & Essays

Twelfth Edition

by H.S.M. Coxeter, W. W. Rouse Ball ...

Series series Heritage
For over eighty years this delightful classic has provided entertainment through mathematical problems commonly known as recreations. Although they often involve fundamental mathematical methods and notions, their chief appeal is as games or puzzles rather than the usefulness of their conclusions.This new edition upholds the original, but the terminology and treatment of problems have been updated ... Read more

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For over eighty years this delightful classic has provided entertainment through mathematical problems commonly known as recreations. Although they often involve fundamental mathematical methods and notions, their chief appeal is as games or puzzles rather than the usefulness of their conclusions.This new edition upholds the original, but the terminology and treatment of problems have been updated
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Introduction to Random Graphs

by Alan Frieze, Michał Karoński ...

From social networks such as Facebook, the World Wide Web and the Internet, to the complex interactions between proteins in the cells of our bodies, we constantly face the challenge of understanding the structure and development of networks. The theory of random graphs provides a framework for this understanding, and in this book the authors give a gentle introduction to the basic tools for ... Read more

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From social networks such as Facebook, the World Wide Web and the Internet, to the complex interactions between proteins in the cells of our bodies, we constantly face the challenge of understanding the structure and development of networks. The theory of random graphs provides a framework for this understanding, and in this book the authors give a gentle introduction to the basic tools for
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Recommended For You

Combinatorics eBooks

Graph Energy

Fractal Analysis: Basic Concepts And Applications

Combinatorics

Computational Number Theory and Digital Signal Processing

Applications of Fractional Calculus to Modeling in Dynamics and Chaos

The Star and the Whole

Deterministic and Stochastic Optimal Control and Inverse Problems

Erdös on Graphs

Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

An Introduction to Quasigroups and Their Representations

Quadratic Irrationals

Naïve Set Theory

Algorithmics Of Matching Under Preferences

Clifford Algebras And Zeons: Geometry To Combinatorics And Beyond

Graph Theory: Undergraduate Mathematics

Breakdown in Traffic Networks

Applications of Blockchain Technology

Software per la minimizzazione di reti logiche e macchine sequenziali

Monomial Algebras

Introduction to Series and Basic Statistics

Signals and Systems Primer with MATLAB

Authentication Codes and Combinatorial Designs

Mathematical Recreations & Essays

Introduction to Random Graphs