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Graph Theory
The primary aim of this book is to present a coherent introduction to graph theory, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated. The book also serves as an introduction to research in graph theory.
The Body of John Merryman
When Chief Justice Taney declared Lincoln’s suspension of habeas corpus unconstitutional and demanded the release of John Merryman, Lincoln defied the order, offering a forceful counter-argument for the constitutionality of his actions. The result was one of the most significant cases in American legal history—a case that resonates in our own time.
Graph Theory in America
How a new mathematical field grew and matured in America Graph Theory in America focuses on the development of graph theory in North America from 1876 to 1976. At the beginning of this period, James Joseph Sylvester, perhaps the finest mathematician in the English-speaking world, took up his appointment as the first professor of mathematics at the Johns Hopkins University, where his inaugural lecture outlined connections between graph theory, algebra, and chemistry—shortly after, he introduced the word graph in our modern sense. A hundred years later, in 1976, graph theory witnessed the solution of the long-standing four color problem by Kenneth Appel and Wolfgang Haken of the University o...
Judging Under Uncertainty
In this book, Adrian Vermeule shows that any approach to legal interpretation rests on institutional and empirical premises about the capacities of judges and the systemic effects of their rulings. He argues that legal interpretation is above all an exercise in decisionmaking under severe empirical uncertainty.
Risk Vs. Risk
We see the stories in the newspaper nearly every day: a drug hailed as a breakthrough treatment turns out to cause harmful side effects; controls implemented to reduce air pollution are shown to generate hazardous solid waste; bans on dangerous chemicals result in the introduction of even more risky substitutes. Could our efforts to protect our health and the environment actually be making things worse? In Risk versus Risk, John D. Graham, Jonathan Baert Wiener, and their colleagues at the Harvard Center for Risk Analysis marshal an impressive set of case studies which demonstrate that all too often our nation's campaign to reduce risks to our health and the environment is at war with itself.
Law’s Abnegation
Ronald Dworkin once imagined law as an empire and judges as its princes. But over time, the arc of law has bent steadily toward deference to the administrative state. Adrian Vermeule argues that law has freely abandoned its imperial pretensions, and has done so for internal legal reasons. In area after area, judges and lawyers, working out the logical implications of legal principles, have come to believe that administrators should be granted broad leeway to set policy, determine facts, interpret ambiguous statutes, and even define the boundaries of their own jurisdiction. Agencies have greater democratic legitimacy and technical competence to confront many issues than lawyers and judges do. And as the questions confronting the state involving climate change, terrorism, and biotechnology (to name a few) have become ever more complex, legal logic increasingly indicates that abnegation is the wisest course of action. As Law’s Abnegation makes clear, the state did not shove law out of the way. The judiciary voluntarily relegated itself to the margins of power. The last and greatest triumph of legalism was to depose itself.
A First Course in Graph Theory
Written by two prominent figures in the field, this comprehensive text provides a remarkably student-friendly approach. Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.
Modern Graph Theory
An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including Szemerédis Regularity Lemma and its use, Shelahs extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. Moreover, the book contains over 600 well thought-out exercises: although some are straightforward, most are substantial, and some will stretch even the most able reader.
