Probability Theory and Combinatorial Optimization by J. Michael Steele Starting with Classical Problems: TSP, MST, and Minimal Matchings. This monograph provides an introduction to the …

This survey describes a general approach to a class of problems that arise in combinatorial probability and combinatorial optimization. Formally, the method is part of weak convergence …

Help understand the utility of problem structure and measurement.

There is a particular emphasis on functionals of finite point sets. The most famous example of such functionals is the length associated with the Euclidean traveling salesman problem …

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1675) This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean …

Aug 8, 2019 · Probability theory and combinatorial optimization.

This monograph provides an introduction to the state of the art of the probability theory that is most directly applicable to combinatorial optimization. The questions that receive the most …

Number of operations as a function of the problem parameters. BFS from origin and destination: even better!

Using convex optimization meth-ods, we find explicit tight bounds that generalize and improve upon the classical Markov, and Chebyshev inequalities, when moments up to second order …

This monograph provides an introduction to the state of the art of the probability theory that is most directly applicable to combinatorial optimization.