Classification of small (0, 1) matrices

DOI10.1016/j.laa.2005.10.010zbMath1091.15022arXivmath/0511636OpenAlexW2139794974MaRDI QIDQ819784

Miodrag Živković

Publication date: 29 March 2006

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

Full work available at URL: https://arxiv.org/abs/math/0511636

zbMATH Keywords

determinantSmith normal formpermutation equivalence(0,1)-matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Matrices of integers (15B36) Canonical forms, reductions, classification (15A21) Calculation of integer sequences (11Y55)

Related Items (4)

On the nature of saturated \(2^k\)-factorial designs for unbiased estimation of non-negligible parameters ⋮ Determinants of binary matrices achieve every integral value up to \(\Omega (2^n/n)\) ⋮ Subgroups of odd depth—a necessary condition ⋮ Lower bound for Buchstaber invariants of real universal complexes

Uses Software

• UBASIC
• OEIS

Cites Work

• An on-line version of ``The Encyclopedia of Integer Sequences
• The maximum determinant of \(\pm 1\) matrices
• Lectures on Polytopes
• Determinants Whose Elements Are 0 and 1
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