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Modern Graph Theory Bela Bollobas
Publisher: Springer

Go down to your library and read Bela Bollobas' “Modern Graph Theory” (I found its predecessor “Graph Theory – An Introductory Course”) or even Reinhard Diestel's “Graph Theory” which is also available online*. Leonhard Euler (1707-83) investigated the problem and there are algorithms and sophisticated developments in modern graph theory. Like decimalization, high frequency trading, and algorithmic trading, and reveals how they align with MPT; Companion Website contains Excel spreadsheets that allow you to compute and graph Markowitz efficient frontiers with riskless and risky assets. Modern portfolio theory (MPT), which originated with Harry Markowitz's seminal paper "Portfolio Selection" in 1952, has stood the test of time and continues to be the intellectual foundation for real-world portfolio management. As you can see, the lower the volatility (risk, horizontal line), the lower the returns (vertical line). The knight's tour doesn't always have to be done on a 8X8 chessboard. Let's look at such a graph below: Modern Portfolio Theory. Srivastava; 181 Numerical Analysis, Rainer Kress; 182 Ordinary Differential Equations, Walter, Thompson; 183 An Introduction to Banach Space Theory, Robert E. The third edition of this standard textbook of modern graph theory has been carefully revised, updated, and substantially extended. Leonhard Euler was inspired by the placement of bridges over the river Pregel in Königsberg (modern Kaliningrad) to pose a problem which gave rise to modern graph theory.