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Triangle-free graphs and completely positive matrices

Author

Listed:
  • Abraham Berman

    (Technion – Israel Institute of Technology)

  • Naomi Shaked-Monderer

    (The Max Stern Yezreel Valley College)

Abstract

Completely positive matrices are matrices that can be decomposed as $$BB^T$$ B B T , where B is an entrywise nonnegative matrix. These matrices have many applications, including applications to optimization. This article is a survey of some results in the theory of completely positive matrices that involve matrices whose graph contains no triangles.

Suggested Citation

  • Abraham Berman & Naomi Shaked-Monderer, 2022. "Triangle-free graphs and completely positive matrices," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(3), pages 1093-1099, September.
    • Handle: RePEc:spr:cejnor:v:30:y:2022:i:3:d:10.1007_s10100-021-00750-9
    DOI: 10.1007/s10100-021-00750-9
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    References listed on IDEAS

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    1. Bomze, Immanuel M., 2012. "Copositive optimization – Recent developments and applications," European Journal of Operational Research, Elsevier, vol. 216(3), pages 509-520.
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