Maximum determinant of (0,1) matrices with certain constant row and column sums

DOI10.1080/03081089708818506zbMath0885.15003OpenAlexW2006221128MaRDI QIDQ4366166

Shaun M. Fallat, Pauline van den Driessche

Publication date: 20 April 1998

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

Full work available at URL: https://doi.org/10.1080/03081089708818506

zbMATH Keywords

traceregular graphmaximum determinant\((0,1)\) matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Miscellaneous inequalities involving matrices (15A45) Matrices of integers (15B36)

Related Items (3)

A parallel method for linear equations with tridiagonal Toeplitz coefficient matrices ⋮ Determinants of certain classes of zero-one matrices with equal line sums ⋮ Parallel algorithms for solving tridiagonal and near-circulant systems.

Cites Work

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• The geometry of an interchange: Minimal matrices and circulants
• Roots of an irreducible continuant
• Maximal Determinants In Combinatorial Investigations
• Matrix Analysis
• Combinatorial Matrices with Small Determinants
• Research problem
• Algebraic Graph Theory
• Minimum positive determinant of integer matrices with constant row and column sums
• Determinants Whose Elements Are 0 and 1

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