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Discrete Mathematics and Its Applications

76 Series Titles


Graph Polynomials

Graph Polynomials

1st Edition

Edited By Yongtang Shi, Matthias Dehmer, Xueliang Li, Ivan Gutman
September 30, 2020

This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved ...

Handbook of Computational Group Theory

Handbook of Computational Group Theory

1st Edition

By Derek F. Holt, Bettina Eick, Eamonn A. O'Brien
September 30, 2020

The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics.The Handbook of Computational Group Theory offers the ...

Combinatorial Algorithms Generation, Enumeration, and Search

Combinatorial Algorithms: Generation, Enumeration, and Search

1st Edition

By Donald L. Kreher, Douglas R. Stinson
November 01, 2019

This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as:CombinationsPermutationsGraphsDesignsMany classical areas are covered as well as new ...

Applied Mathematical Modeling A Multidisciplinary Approach

Applied Mathematical Modeling: A Multidisciplinary Approach

1st Edition

Edited By Douglas R. Shier, K.T. Wallenius
October 17, 2019

The practice of modeling is best learned by those armed with fundamental methodologies and exposed to a wide variety of modeling experience. Ideally, this experience could be obtained by working on actual modeling problems. But time constraints often make this difficult. Applied Mathematical ...

A Java Library of Graph Algorithms and Optimization

A Java Library of Graph Algorithms and Optimization

1st Edition

By Hang T. Lau
September 11, 2019

Because of its portability and platform-independence, Java is the ideal computer programming language to use when working on graph algorithms and other mathematical programming problems. Collecting some of the most popular graph algorithms and optimization procedures, A Java Library of Graph ...

Quadratics

Quadratics

1st Edition

By Richard A. Mollin
September 11, 2019

The first thing you will find out about this book is that it is fun to read. It is meant for the browser, as well as for the student and for the specialist wanting to know about the area. The footnotes give an historical background to the text, in addition to providing deeper applications of the ...

Authentication Codes and Combinatorial Designs

Authentication Codes and Combinatorial Designs

1st Edition

By Dingyi Pei
September 05, 2019

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 ...

Enumerative Combinatorics

Enumerative Combinatorics

1st Edition

By Charalambos A. Charalambides
September 05, 2019

Enumerative Combinatorics presents elaborate and systematic coverage of the theory of enumeration. The first seven chapters provide the necessary background, including basic counting principles and techniques, elementary enumerative topics, and an extended presentation of generating functions and ...

Algebraic Curves in Cryptography

Algebraic Curves in Cryptography

1st Edition

By San Ling, Huaxiong Wang, Chaoping Xing
June 12, 2019

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a ...

Computational Complexity of Counting and Sampling

Computational Complexity of Counting and Sampling

1st Edition

By Istvan Miklos
February 20, 2019

Computational Complexity of Counting and Sampling provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared toward researchers in enumerative combinatorics, discrete mathematics, and theoretical computer science. The book covers the...

The Mathematics of Chip-Firing

The Mathematics of Chip-Firing

1st Edition

By Caroline J. Klivans
November 21, 2018

The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very...

Algorithmics of Nonuniformity Tools and Paradigms

Algorithmics of Nonuniformity: Tools and Paradigms

1st Edition

By Micha Hofri, Hosam Mahmoud
July 17, 2018

Algorithmics of Nonuniformity is a solid presentation about the analysis of algorithms, and the data structures that support them. Traditionally, algorithmics have been approached either via a probabilistic view or an analytic approach. The authors adopt both approaches and bring them together to...

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