# On the circuit diameter of some combinatorial polytopes

Sean Kafer, Kanstantsin Pashkovich, Laura Sanita

9 Citaten (Scopus)

## Samenvatting

The combinatorial diameter of a polytope P is the maximum value of a shortest path between two vertices of P, where the path uses the edges of P only. In contrast to the combinatorial diameter, the circuit diameter of P is defined as the maximum value of a shortest path between two vertices of P, where the path uses potential edge directions of P, i.e., all edge directions that can arise by translating some of the facets of P. In this paper, we study the circuit diameter of polytopes corresponding to classical combinatorial optimization problems, such as the matching polytope, the Traveling Salesman polytope, and the fractional stable set polytope.

Originele taal-2 Engels 1-25 25 SIAM Journal on Discrete Mathematics 33 1 https://doi.org/10.1137/17M1152115 Gepubliceerd - 2019 Ja

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