Combinatorics and graph theory

This volume in the Encyclopedia of Complexity and Systems Science (ECSS) covers such fascinating and practical topics as (i) Vehicular traffic flow theory, (ii) Studies of real field traffic data, (iii) Complex phenomena of self-organization in vehicular traffic, (iv) Effect of automatic driving (self-driving vehicles) on traffic flow, v) Complex dynamics of city traffic, (vi) Dynamic control and optimization of traffic and transportation networks, including dynamic traffic assignment in the network, (vii) Pedestrian traffic, (viii) Evacuation scenarios, and (ix) Network characteristics of air control.

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Boolean Structures: Combinatorics, Codification, Representation offers the first analytical and architectural approach to Boolean algebras based combinatorial calculus and codification with applications in IT, quantum information and classification of data.

Today, with physician and hospital reimbursement being cut and tied to quality incentives, physicians and health plans are revisiting the concept of integration.

This book presents a topological approach to combinatorial configurations, in particular graphs, by introducing a new pair of homology and cohomology via polyhedra.

Dieses Buch ist die erste fachübergreifende Einführung in die Kombinatorik in deutscher Sprache und umfasst Gesetzmäßigkeiten, Rechenregeln, Anwendungen sowie 50 Übungsaufgaben mit Lösungen.

This book presents the state-of-the-art in various aspects of analysis and mining of online social networks.

The second edition of a successful and unique textbook for students in mathematics or theoretical computer science.

This important resource offers the first in-depth account of the graph dynamics system SER (Scheduling by Edge Reversal),.

This book presents interdisciplinary, cutting-edge and creative applications of graph theory and modeling in science, technology, architecture and art.

Basics of Ramsey Theory serves as a gentle introduction to Ramsey theory for students interested in becoming familiar with a dynamic segment of contemporary mathematics that combines ideas from number theory and combinatorics.

This book provides a comprehensive algebraic treatment of hypergroups, as defined by F.

This brief focuses on introducing a novel mathematical framework, referred as hypergraph theory, to model and solve the multiple interferer scenarios for future wireless communication networks.

The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing.

This monograph presents combinatorial and numerical issues on integral quadratic forms as originally obtained in the context of representation theory of algebras and derived categories.

A complete, self-contained introduction to a powerful and resurging mathematical discipline Combinatorial Geometry presents and explains with complete proofs some of the most important results and methods of this relatively young mathematical discipline, started by Minkowski, Fejes T th, Rogers, and Erd's.

Emphasises the powerful methods arising from the fusion of combinatorial techniques with programming, linear algebra, and probability theory.

The original goal of writing this book was to introduce the reader to the tools of combinatorics from an applied point of view.

Ramsey theory is a fascinating topic.

How many ways do exist to mix different ingredients, how many chances to win a gambling game, how many possible paths going from one place to another in a network ?

Graph algebras possess the capacity to relate fundamental concepts of computer science, combinatorics, graph theory, operations research, and universal algebra.

No other book covers such a wide scope of this aspect of graph theory.

This book is based on the outcome of the "e;2012 Interdisciplinary Symposium on Complex Systems"e; held at the island of Kos.

The present work is meant as a reference to provide an organic and comprehensive view of the most relevant results in the exciting new field of Networks of Networks (NetoNets).

This book uses rigorous mathematical analysis to advance opinion dynamics models for social networks in three major directions.

A practical introduction to network science for students across business, cognitive science, neuroscience, sociology, biology, engineering and other disciplines.

This compact reference surveys the full range of available structural equation modeling (SEM) methodologies.

A variety of different social, natural and technological systems can be described by the same mathematical framework.

This volume contains selected papers presented at the Summer School and International Conference on Combinatorics.

Discrete Mathematics has permeated the whole of mathematics so much so it has now come to be taught even at the high school level.

Why don''t things fall down?

Student Handbook for Discrete Mathematics with Ducks is a Student Reference, Review, Supplemental Learning, and Example Handbook (SRRSLEH) that mirrors the content of the author's popular textbook Discrete Mathematics with Ducks (DMwD).

Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very active areas of mathematical exploration.

Building on the author's previous book in the series, Complex Analysis with Applications to Flows and Fields (CRC Press, 2010), Transcendental Representations with Applications to Solids and Fluids focuses on four infinite representations: series expansions, series of fractions for meromorphic functions, infinite products for functions with infinit

Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid's Elements.

We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra.

The present volume provides a comprehensive resource for practitioners and researchers alike-both those new to the field as well as those who already have some experience.

While maintaining the lucidity of the first edition, Discrete Chaos, Second Edition: With Applications in Science and Engineering now includes many recent results on global stability, bifurcation, chaos, and fractals.

This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups.

A Tour Through Graph Theory introduces graph theory to students who are not mathematics majors.

Graph Theory is a branch of discrete mathematics.

From specialists in the field, you will learn about interesting connections and recent developments in the field of graph theory by looking in particular at Cartesian products-arguably the most important of the four standard graph products.

The discrete mathematics and theoretical computer science communities have recently witnessed explosive growth in the area of algorithmic combinatorics on words.

Boundaries and Hulls of Euclidean Graphs: From Theory to Practice presents concepts and algorithms for finding convex, concave and polygon hulls of Euclidean graphs.

Comprehensive and up-to-date coverage of topological graph theory.

The proceedings from the eighth KMO conference represent the findings of this international meeting which brought together researchers and developers from industry and the academic world to report on the latest scientific and technical advances on knowledge management in organizations.

This book provides the elements of probability and stochastic processes of direct interest to the applied sciences where probabilistic models play an important role, most notably in the information and communications sciences, computer sciences, operations research, and electrical engineering, but also in fields like epidemiology, biology, ecology, physics, and the earth sciences.