Discrete Systems

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Quantitative Graph Theory: Mathematical Foundations and Applications

Quantitative Graph Theory: Mathematical Foundations and Applications

Matthias Dehmer, Frank Emmert-Streib

October 27, 2014

The first book devoted exclusively to quantitative graph theory, Quantitative Graph Theory: Mathematical Foundations and Applications presents and demonstrates existing and novel methods for analyzing graphs quantitatively. Incorporating interdisciplinary knowledge from graph theory, information...

Complex Networks: An Algorithmic Perspective

Complex Networks: An Algorithmic Perspective

Kayhan Erciyes

September 06, 2014

Network science is a rapidly emerging field of study that encompasses mathematics, computer science, physics, and engineering. A key issue in the study of complex networks is to understand the collective behavior of the various elements of these networks.Although the results from graph theory have...

Handbook of Graph Theory, Second Edition

Handbook of Graph Theory, Second Edition

Jonathan L. Gross, Jay Yellen, Ping Zhang

December 17, 2013

In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This...

Handbook of Graph Drawing and Visualization

Handbook of Graph Drawing and Visualization

Roberto Tamassia

August 19, 2013

Get an In-Depth Understanding of Graph Drawing Techniques, Algorithms, Software, and Applications The Handbook of Graph Drawing and Visualization provides a broad, up-to-date survey of the field of graph drawing. It covers topological and geometric foundations, algorithms, software systems, and...

Discrete Structures and Their Interactions

Discrete Structures and Their Interactions

Jason I. Brown

June 24, 2013

Discover the Connections between Different Structures and Fields Discrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores...

Near Rings, Fuzzy Ideals, and Graph Theory

Near Rings, Fuzzy Ideals, and Graph Theory

Bhavanari Satyanarayana, Kuncham Syam Prasad

May 21, 2013

Near Rings, Fuzzy Ideals, and Graph Theory explores the relationship between near rings and fuzzy sets and between near rings and graph theory. It covers topics from recent literature along with several characterizations. After introducing all of the necessary fundamentals of algebraic systems, the...

Optimal Supervisory Control of Automated Manufacturing Systems

Optimal Supervisory Control of Automated Manufacturing Systems

Yufeng Chen, Zhiwu Li

January 23, 2013

This monograph presents the state-of-the-art developments in the design of behaviorally and structurally optimal livenessen-forcing Petri net supervisors with computationally tractable approaches. It details optimal supervisory control problems arising in automated production systems and outlines a...

Combinatorics of Set Partitions

Combinatorics of Set Partitions

Toufik Mansour

July 27, 2012

Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Partitions presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions. Designed for students and researchers in discrete mathematics, the book is a...

Discrete Mathematics with Ducks

Discrete Mathematics with Ducks

sarah-marie belcastro

June 21, 2012

Containing exercises and materials that engage students at all levels, Discrete Mathematics with Ducks presents a gentle introduction for students who find the proofs and abstractions of mathematics challenging. This classroom-tested text uses discrete mathematics as the context for introducing...

Combinatorics of Permutations, Second Edition

Combinatorics of Permutations, Second Edition

Miklos Bona

June 11, 2012

A Unified Account of Permutations in Modern CombinatoricsA 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations,...

Communication System Security

Communication System Security

Lidong Chen, Guang Gong

May 29, 2012

Helping current and future system designers take a more productive approach in the field, Communication System Security shows how to apply security principles to state-of-the-art communication systems. The authors use previous design failures and security flaws to explain common pitfalls in...

Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

Jason J. Molitierno

January 25, 2012

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...