Combinatorics and graph theory

Advanced Graph Theory focuses on some of the main notions arising in graph theory with an emphasis from the very start of the book on the possible applications of the theory and the fruitful links existing with linear algebra.

A graduate-level 2006 text bringing together the tools from different fields used in additive combinatorics.

Praise for the First Edition"e;Luck, Logic, and White Lies teaches readers of all backgrounds about the insight mathematical knowledge can bring and is highly recommended reading among avid game players, both to better understand the game itself and to improve one's skills.

This book presents methods for the summation of infinite and finite series and the related identities and inversion relations.

This title provides a comprehensive survey over the subject of probabilistic combinatorial optimization, discussing probabilistic versions of some of the most paradigmatic combinatorial problems on graphs, such as the maximum independent set, the minimum vertex covering, the longest path and the minimum coloring.

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

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This book deals with the analysis of the structure of complex networks by combining results from graph theory, physics, and pattern recognition.

The effectiveness of federated learning in high performance information systems and informatics based solutions for addressing current information support requirements is demonstrated in this book.

This book is focused on pancyclic and bipancyclic graphs and is geared toward researchers and graduate students in graph theory.

This volume covers semilinear embeddings of vector spaces over division rings and the associated mappings of Grassmannians.

Surveys trends arising from the applications and interactions between combinatorics, symbolic dynamics and theoretical computer science.

Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas.

Model theory is the meta-mathematical study of the concept of mathematical truth.

Adapted from a modular undergraduate course on computational mathematics, Concise Computer Mathematics delivers an easily accessible, self-contained introduction to the basic notions of mathematics necessary for a computer science degree.

A collection of different lectures presented by experts in the field of nonlinear science provides the reader with contemporary, cutting-edge, research works that bridge the gap between theory and device realizations of nonlinear phenomena.

Algorithmic Graph Theory and Perfect Graphs, first published in 1980, has become the classic introduction to the field.

This book contains Volume 7 of the Journal of Graph Algorithms and Applications (JGAA).

Die Theorie der regularen Graphen (The Theory of Regular Graphs), written by the Danish Mathematician Julius Petersen in 1891, is often considered the first strictly theoretical paper dealing with graphs.

This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications.

This definitive reference on Combinatorica contains examples of all 450 functions plus tutorial text.

Unifies discrete and computational geometry by using forbidden patterns of points to characterize many of its problems.

How can one be assured that computer codes that solve differential equations are correct?

This book provides an interdisciplinary approach to complexity, combining ideas from areas like complex networks, cellular automata, multi-agent systems, self-organization and game theory.

Complex Networks: An Algorithmic Perspective supplies the basic theoretical algorithmic and graph theoretic knowledge needed by every researcher and student of complex networks.

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.

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.

This book offers an introduction to some combinatorial (also, set-theoretical) approaches and methods in geometry of the Euclidean space Rm.

Games, or contexts of strategic interaction, pervade and suffuse our lives and the lives of all organisms.

Network Function Virtualization (NFV) has recently attracted considerable attention from both research and industrial communities.

While the significance of networks in various human behavior and activities has a history as long as human's existence, network awareness is a recent scientific phenomenon.

With an emphasis on exploring measurable aspects of ancient narratives, Maths Meets Myths sets out to investigate age-old material with new techniques.

Spatio-temporal networks (STN)are spatial networks whose topology and/or attributes change with time.

The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint.

These three lectures cover a certain aspect of complexity and black holes, namely the relation to the second law of thermodynamics.

This book explores the impact of nonlinearity on a broad range of areas, including time-honored fields such as biology, geometry, and topology, but also modern ones such as quantum mechanics, networks, metamaterials and artificial intelligence.

Now with solutions to selected problems, Applied Combinatorics, Second Edition presents the tools of combinatorics from an applied point of view.

Maps are beguilingly simple structures with deep and ubiquitous properties.

Recent years have shown important and spectacular convergences between techniques traditionally used in theoretical physics and methods emerging from modern mathematics (combinatorics, probability theory, topology, algebraic geometry, etc).

The main goal of our book is to provide easy access to the basic principles and methods that combinatorial calculations are based upon.

This classic text, originally from the noted logician Elliot Mendelson, is intended to be an easy-to-read introduction to the basic ideas and techniques of game theory.

This book focuses on research in linear algebra, statistics, matrices, graphs and their applications.

A timely book on a topic that has witnessed a surge of interest over the last decade, owing in part to several novel applications, most notably in data compression and computational molecular biology.

This text develops a new theory extending the classical theory of connected graded Hopf algebras to reflection arrangements.

This textbook treats graph colouring as an algorithmic problem, with a strong emphasis on practical applications.

The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for the Mathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, during June 5-30, 2017.

Applications of combinatorics in bioformatics, text processing, combinatorial enumeration and fractal analysis.