Work

Reverse Chvátal--Gomory Rank

Year: 2015

Type: article

Abstract: We introduce the reverse Chvátal--Gomory rank $r^*(P)$ of an integral polyhedron $P$, defined as the supremum of the Chvátal--Gomory ranks of all rational polyhedra whose integer hull is $P$. A well-known example in dimension two shows that there exist integral polytopes $P$ with $r^*(P)=+\infty$. We provide a geometric characterization of polyhedra with this property in every dimension, and investigate upper bounds on $r^*(P)$ when this value is finite.

Source: SIAM Journal on Discrete Mathematics

DOI: 10.1137/140959882

Authors: Michele Conforti, Alberto Del Pia, Marco Di Summa, Yuri Faenza, Roland Grappe

Language: Hungarian

Topic: Complexity and Algorithms in Graphs

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2567811846

FWCI: 1.656

Cites: 14

Cited by: 11

Related to: 10