Triangle-free graphs and completely positive matrices

Abraham Berman () and Naomi Shaked-Monderer ()
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Abraham Berman: Technion – Israel Institute of Technology
Naomi Shaked-Monderer: The Max Stern Yezreel Valley College

Central European Journal of Operations Research, 2022, vol. 30, issue 3, No 11, 1093-1099

Abstract: 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.

Keywords: Triangle-free graph; Completely positive matrix; Cp-rank; Cp factorization; Minimal cp factorization; 15A23; 15B48 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10100-021-00750-9

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