Extended formulations for sparsity matroids

Satoru Iwata, Naoyuki Kamiyama, Naoki Katoh, Shuji Kijima, Yoshio Okamoto

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We show the existence of a polynomial-size extended formulation for the base polytope of a (k, ℓ) -sparsity matroid. For an undirected graph G= (V, E) , the size of the formulation is O(| V| ·

Original languageEnglish
Pages (from-to)565-574
Number of pages10
JournalMathematical Programming
Volume158
Issue number1-2
DOIs
Publication statusPublished - Jul 1 2016

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Extended Formulations
Matroid
Sparsity
Polynomials
Polytope
Undirected Graph
Polynomial
Formulation

All Science Journal Classification (ASJC) codes

  • Software
  • Mathematics(all)

Cite this

Extended formulations for sparsity matroids. / Iwata, Satoru; Kamiyama, Naoyuki; Katoh, Naoki; Kijima, Shuji; Okamoto, Yoshio.

In: Mathematical Programming, Vol. 158, No. 1-2, 01.07.2016, p. 565-574.

Research output: Contribution to journalArticle

Iwata, Satoru ; Kamiyama, Naoyuki ; Katoh, Naoki ; Kijima, Shuji ; Okamoto, Yoshio. / Extended formulations for sparsity matroids. In: Mathematical Programming. 2016 ; Vol. 158, No. 1-2. pp. 565-574.
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