Equal entries in totally positive matrices

DOI10.1016/j.laa.2014.04.007zbMath1291.15077arXiv1309.4186OpenAlexW1966448671MaRDI QIDQ2451701

Evan Marzion, Charles R. Johnson, Mitchell Faulk, Miriam Farber

Publication date: 4 June 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4186

zbMATH Keywords

matrix completionouterplanar graphstotally positive matricespoint-line incidencesBruhat order of permutations

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Matrix completion problems (15A83)

Related Items (3)

Arrangements of equal minors in the positive Grassmannian ⋮ On totally positive matrices and geometric incidences ⋮ Arrangements of minors in the positive Grassmannian and a triangulation of the hypersimplex

Cites Work

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• Extremal problems in discrete geometry
• More on the Bruhat order for (0, 1)-matrices
• Davenport-Schinzel theory of matrices
• A problem of Zarankiewicz
• Two new criteria for comparison in the Bruhat order
• Forbidden paths and cycles in ordered graphs and matrices
• Packing a Square Lattice with a Rectangle-Free Set of Points
• Combinatorial Nullstellensatz

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