Combinatorics is the art of counting. Its main goal is to, given a set, determine how many elements it contains. Relevant areas of research at Michigan Tech are enumerative and algebraic combinatorics ...

Combinatorial optimisation is a fundamental field in applied mathematics and computer science that focuses on finding an optimal object from a finite set of objects. In this context, problems are ...

A line of engineering research seeks to develop computers that can tackle a class of challenges called combinatorial ...

The traveling salesman problem is considered a prime example of a combinatorial optimization problem. Now a Berlin team led by theoretical physicist Prof. Dr. Jens Eisert of Freie Universität ...

The solution, whose simplicity has stunned mathematicians, is already leading to advances in other combinatorics problems. Invented in 1974, Set has a simple goal: to find special triples called ...

We develop a novel framework, the implicit hitting set approach, for solving a class of combinatorial optimization problems. The explicit hitting set problem is as follows: given a set U and a family ...

MicroAlgo Inc. announced its research on the Quantum Information Recursive Optimization (QIRO) algorithm, which aims to address complex combinatorial optimization problems using quantum computing ...

Rigetti was selected by the Defense Advanced Research Projects Agency (DARPA) to advance the state-of-the-art in quantum algorithms for solving combinatorial optimization problems as part of the ...