The Fascinating World of Graph Theory

The Fascinating World of Graph Theory

Graph theory goes back several centuries and revolves around the study of graphs―mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics―and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.

  • Brand: Ingramcontent
  • ASIN: 0691163812

A Field Guide to the Birds of New Zealand (Princeton Pocket Guides)

A Field Guide to the Birds of New Zealand (Princeton Pocket Guides)

New Zealand is commonly described as "the land of birds." Now, there is an easy-to-use guide for all those interested in this country's remarkable bird population. A Field Guide to the Birds of New Zealand contains over 600 stunning photographs of the more than 350 bird species likely to be seen in this area of the world. Comprehensive and compact, the book includes full descriptions of all native species and regular visitors, distribution maps and measurements, key information on national parks, and useful information on ongoing conservation efforts in the country. Filled with handy tips for nature enthusiasts wanting to make the most of their trip, this is the only bird guide that anyone exploring this region will need.600+ color photographs feature more than 350 bird species with full descriptions Distribution maps and measurements Key information on national parks helps readers find the best spots for bird sightings Useful information on conservation efforts Guidelines on sensible behavior for encountering nature at its best

  • Brand: Fitter Julian Merton
  • ASIN: 0691153515

Birds of India: Pakistan, Nepal, Bangladesh, Bhutan, Sri Lanka, and the Maldives, Second Edition (Princeton Field Guides)

Birds of India: Pakistan, Nepal, Bangladesh, Bhutan, Sri Lanka, and the Maldives, Second Edition (Princeton Field Guides)

The best field guide to the birds of the Indian subcontinent is now even better. Thoroughly revised, with 73 new plates and many others updated or repainted, the second edition of Birds of India now features all maps and text opposite the plates for quicker and easier reference. Newly identified species have been added, the text has been extensively revised, and all the maps are new. Comprehensive and definitive, this is the indispensable guide for anyone birding in this part of the world.The leading field guide to the birds of the Indian subcontinent--now thoroughly revised and improved 1,375 species illustrated and described, including all residents, migrants, and vagrants 226 color plates--including 73 new ones--depict every species and many distinct plumages and races Concise text and accurate distribution maps opposite plates for easy reference Includes newly identified species

  • Brand: Grimmett Richard
  • ASIN: 0691153493

Graph Theoretic Methods in Multiagent Networks (Princeton Series in Applied Mathematics)

Graph Theoretic Methods in Multiagent Networks (Princeton Series in Applied Mathematics)

This accessible book provides an introduction to the analysis and design of dynamic multiagent networks. Such networks are of great interest in a wide range of areas in science and engineering, including: mobile sensor networks, distributed robotics such as formation flying and swarming, quantum networks, networked economics, biological synchronization, and social networks. Focusing on graph theoretic methods for the analysis and synthesis of dynamic multiagent networks, the book presents a powerful new formalism and set of tools for networked systems. The book's three sections look at foundations, multiagent networks, and networks as systems. The authors give an overview of important ideas from graph theory, followed by a detailed account of the agreement protocol and its various extensions, including the behavior of the protocol over undirected, directed, switching, and random networks. They cover topics such as formation control, coverage, distributed estimation, social networks, and games over networks. And they explore intriguing aspects of viewing networks as systems, by making these networks amenable to control-theoretic analysis and automatic synthesis, by monitoring their dynamic evolution, and by examining higher-order interaction models in terms of simplicial complexe...

  • Brand: Brand: Princeton University Press
  • ASIN: 0691140618

In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation

In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation

What is the shortest possible route for a traveling salesman seeking to visit each city on a list exactly once and return to his city of origin? It sounds simple enough, yet the traveling salesman problem is one of the most intensely studied puzzles in applied mathematics―and it has defied solution to this day. In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the 1800s when Irish mathematician W. R. Hamilton first defined the problem, and venturing to the furthest limits of today’s state-of-the-art attempts to solve it. He also explores its many important applications, from genome sequencing and designing computer processors to arranging music and hunting for planets.In Pursuit of the Traveling Salesman travels to the very threshold of our understanding about the nature of complexity, and challenges you yourself to discover the solution to this captivating mathematical problem.

  • Brand: William J Cook
  • ASIN: 0691163529

The Golden Ticket: P, NP, and the Search for the Impossible

The Golden Ticket: P, NP, and the Search for the Impossible

The P-NP problem is the most important open problem in computer science, if not all of mathematics. Simply stated, it asks whether every problem whose solution can be quickly checked by computer can also be quickly solved by computer. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. Lance Fortnow traces the history and development of P-NP, giving examples from a variety of disciplines, including economics, physics, and biology. He explores problems that capture the full difficulty of the P-NP dilemma, from discovering the shortest route through all the rides at Disney World to finding large groups of friends on Facebook. The Golden Ticket explores what we truly can and cannot achieve computationally, describing the benefits and unexpected challenges of this compelling problem.

  • Brand: Lance Fortnow
  • ASIN: 0691156492

Small Worlds: The Dynamics of Networks between Order and Randomness (Princeton Studies in Complexity)

Small Worlds: The Dynamics of Networks between Order and Randomness (Princeton Studies in Complexity)

Everyone knows the small-world phenomenon: soon after meeting a stranger, we are surprised to discover that we have a mutual friend, or we are connected through a short chain of acquaintances. In his book, Duncan Watts uses this intriguing phenomenon--colloquially called "six degrees of separation"--as a prelude to a more general exploration: under what conditions can a small world arise in any kind of network? The networks of this story are everywhere: the brain is a network of neurons; organisations are people networks; the global economy is a network of national economies, which are networks of markets, which are in turn networks of interacting producers and consumers. Food webs, ecosystems, and the Internet can all be represented as networks, as can strategies for solving a problem, topics in a conversation, and even words in a language. Many of these networks, the author claims, will turn out to be small worlds. How do such networks matter? Simply put, local actions can have global consequences, and the relationship between local and global dynamics depends critically on the network's structure. Watts illustrates the subtleties of this relationship using a variety of simple models---the spread of infectious disease through a structured population; the evolution of cooperatio...

  • Brand: Princeton University Press
  • ASIN: 0691117047

Robust Optimization (Princeton Series in Applied Mathematics)

Robust Optimization (Princeton Series in Applied Mathematics)

Robust optimization is still a relatively new approach to optimization problems affected by uncertainty, but it has already proved so useful in real applications that it is difficult to tackle such problems today without considering this powerful methodology. Written by the principal developers of robust optimization, and describing the main achievements of a decade of research, this is the first book to provide a comprehensive and up-to-date account of the subject. Robust optimization is designed to meet some major challenges associated with uncertainty-affected optimization problems: to operate under lack of full information on the nature of uncertainty; to model the problem in a form that can be solved efficiently; and to provide guarantees about the performance of the solution. The book starts with a relatively simple treatment of uncertain linear programming, proceeding with a deep analysis of the interconnections between the construction of appropriate uncertainty sets and the classical chance constraints (probabilistic) approach. It then develops the robust optimization theory for uncertain conic quadratic and semidefinite optimization problems and dynamic (multistage) problems. The theory is supported by numerous examples and computational illustrations. An essential book...

  • Brand: Brand: Princeton University Press
  • ASIN: 0691143684

Graphic Discovery: A Trout in the Milk and Other Visual Adventures

Graphic Discovery: A Trout in the Milk and Other Visual Adventures

Good graphs make complex problems clear. From the weather forecast to the Dow Jones average, graphs are so ubiquitous today that it is hard to imagine a world without them. Yet they are a modern invention. This book is the first to comprehensively plot humankind's fascinating efforts to visualize data, from a key seventeenth-century precursor--England's plague-driven initiative to register vital statistics--right up to the latest advances. In a highly readable, richly illustrated story of invention and inventor that mixes science and politics, intrigue and scandal, revolution and shopping, Howard Wainer validates Thoreau's observation that circumstantial evidence can be quite convincing, as when you find a trout in the milk. The story really begins with the eighteenth-century origins of the art, logic, and methods of data display, which emerged, full-grown, in William Playfair's landmark 1786 trade atlas of England and Wales. The remarkable Scot singlehandedly popularized the atheoretical plotting of data to reveal suggestive patterns--an achievement that foretold the graphic explosion of the nineteenth century, with atlases published across the observational sciences as the language of science moved from words to pictures. Next come succinct chapters illustrating the uses and...

  • Brand: Brand: Princeton University Press
  • ASIN: 0691103011

Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers)

Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers)

Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics behind it. From the Knight's Tour Problem and Queens Domination to their many variations, John Watkins surveys all the well-known problems in this surprisingly fertile area of recreational mathematics. Can a knight follow a path that covers every square once, ending on the starting square? How many queens are needed so that every square is targeted or occupied by one of the queens? Each main topic is treated in depth from its historical conception through to its status today. Many beautiful solutions have emerged for basic chessboard problems since mathematicians first began working on them in earnest over three centuries ago, but such problems, including those involving polyominoes, have now been extended to three-dimensional chessboards and even chessboards on unusual surfaces such as toruses (the equivalent of playing chess on a doughnut) and cylinders. Using the highly visual language of graph theory, Watkins gently guides the reader to the forefront of current research in mathematics. By solving some of the many exercises sprinkled throughout...

  • Brand: Brand: Princeton University Press
  • ASIN: 0691154988
Similar Graph Theory Princeton Results
Graph Theory Princeton Video Results

Interview at CIRM : Maria Chudnovsky

Graph Theory Princeton

Maria Chudnovsky is a professor in the department of mathematics at Princeton University. She grew up in Russia and Israel, studying at the Technion and received her Ph.D. in 2003 from Princeton under the supervision of Paul Seymour. She moved to Columbia after being a Clay Mathematics Institute...

  • Likes: 309
  • View count: 39871
  • Dislikes: 5
  • Comments: 14
Tags: Maria Chudnovsky,mathematician,Princeton University (College/University),Columbia University (Col...