A unified treatment of the most important results in the study of fractional graph concepts, this volume explores the various ways in which integer-valued concepts can be modified to derive nonintegral values. It begins with the general fractional theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics. Subjects include fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, and fractional isomorphism. T...

What Ralph Nader's spoiler role in the 2000 presidential election tells us about the American political system. Why Montana went to court to switch the 1990 apportionment to Dean's method. How the US tried to use game theory to win the Cold War, and why it didn't work. When students realize that mathematical thinking can address these sorts of pres

Beyond traditional threats from states such as China and Russia and non-state actors employing violent extremism, can America's politics and political system withstand the assaults of the Fifth Horseman and the new MAD, Massive Attacks of Disruption? The Covid-19 pandemic, the January 6 insurrection and takeover of the US Capitol, SolarWinds cyber attacks, the Texas storms that cut power, and the blocking of the Suez Canal are harbingers of the new MAD. And the nation is unaware and unprep...