Combinatorics and graph theory

What Is Combinatorics Anyway?

Many different fractal dimensions have been proposed for networks.

In the two-volume set 'A Selection of Highlights' we present basics of mathematics in an exciting and pedagogically sound way.

The definitive treatment of analytic combinatorics, from leaders in the field.

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.

This pioneering text provides a comprehensive introduction to systems structure, function, and modeling as applied in all fields of science and engineering.

Comprehensive coverage of recent, exciting developments in Fourier restriction theory, including applications to number theory and PDEs.

This book gives an advanced overview of several topics in infinite group theory.

Covering Walks in Graphs is aimed at researchers and graduate students in the graph theory community and provides a comprehensive treatment on measures of two well studied graphical properties, namely Hamiltonicity and traversability in graphs.

Additive Combinatorics: A Menu of Research Problems is the first book of its kind to provide readers with an opportunity to actively explore the relatively new field of additive combinatorics.

The Rogers--Ramanujan identities are a pair of infinite series-infinite product identities that were first discovered in 1894.

Total Domination in Graphs gives a clear understanding of this topic to any interested reader who has a modest background in graph theory.

Game Theory: A Modeling Approach quickly moves readers through the fundamental ideas of the subject to enable them to engage in creative modeling projects based on game theoretic concepts.

This book follows the methodologies of complex adaptive systems research in their application to addressing the problems of terrorism, specifically terrorist networks, their structure and various methods of mapping and interdicting them as well as exploring the complex landscape of network-centric and irregular warfare.

This book describes exciting new opportunities for utilizing robust graph representations of data with common machine learning algorithms.

The Handbook of Financial Cryptography and Security elucidates the theory and techniques of cryptography and illustrates how to establish and maintain security under the framework of financial cryptography.

This book delves into the foundational principles governing the treatment of molecular networks and "e;chemical space"e;-the comprehensive domain encompassing all physically achievable molecules-from the perspectives of vector space, graph theory, and data science.

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.

This book systematically interprets and documents new, unifying principles and basic laws describing the most relevant aspects of hierarchy.

This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23-25 October 2018.

In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("e;generators"e;).

This friendly introduction helps undergraduate students understand and appreciate matroid theory and its connections to geometry.

This volume comprises 17 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results.

This book contains Volumes 4 and 5 of the Journal of Graph Algorithms and Applications (JGAA).

This volume contains research and review papers on different branches of mathematics and mathematical physics, written by the leading specialists.

These Lecture Notes provide an introduction to the study of those discrete surfaces which are obtained by randomly gluing polygons along their sides in a plane.

The Handbook of Finite Translation Planes provides a comprehensive listing of all translation planes derived from a fundamental construction technique, an explanation of the classes of translation planes using both descriptions and construction methods, and thorough sketches of the major relevant theorems.

Across the Board is the definitive work on chessboard problems.

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 volume contains selected refereed papers based on lectures presented at the 'Integers Conference 2007', an international conference in combinatorial number theory that was held in Carrollton, Georgia in October 2007.

This book demonstrates the connection between, and the applications of, design theory to graphs and codes.

Introduction to Chemical Graph Theory is a concise introduction to the main topics and techniques in chemical graph theory, specifically the theory of topological indices.

The present book includes a set of selected papers from the tenth "e;International Conference on Informatics in Control Automation and Robotics"e; (ICINCO 2013), held in Reykjavik, Iceland, from 29 to 31 July 2013.

Results of research on classical combinatorial structures such as random graphs, permutations, and systems of random linear equations in finite fields.

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields.

A comprehensive reference on the theory of variable-length codes and their relation to automata.

This graduate level text is distinguished both by the range of topics and the novelty of the material it treats--more than half of the material in it has previously only appeared in research papers.

This book is a useful, attractive introduction to basic counting techniques for upper secondary and junior college students, as well as teachers.

This book includes nine articles representing a timely snapshot of the state of the art in the different areas of combinatorics.

This book provides an extensive set of tools for applying fuzzy mathematics and graph theory to real-life problems.

Network Science is the emerging field concerned with the study of large, realistic networks.

As discrete mathematics rapidly becomes a required element of undergraduate mathematics programs, algebraic software systems replace compiled languages and are now most often the computational tool of choice.

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

Discrete Mathematics with Ducks, Second Edition is a gentle introduction for students who find the proofs and abstractions of mathematics challenging.

Once the privilege of a secret few, cryptography is now taught at universities around the world.

This concise monograph present the complete history of the domination game and its variants up to the most recent developments and will stimulate research on closely related topics, establishing a key reference for future developments.

This book collects papers presented at the International Conference on Mathematical Modelling and Computational Intelligence Techniques (ICMMCIT) 2021, held at the Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu, India, from 10-12 February 2021.

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.