Thin Lehman matrices arising from finite groups

DOI10.1016/j.laa.2011.02.047zbMath1236.05049OpenAlexW2048196040MaRDI QIDQ763068

Hidehiro Shinohara

Publication date: 8 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.02.047

zbMATH Keywords

finite group1-overlapped factorizationminimally nonideal matrixnear-factorizationthin Lehman matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Combinatorial optimization (90C27) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (3)

On circulant thin Lehman matrices ⋮ One-overlapped factorizations of non-abelian groups ⋮ Unnamed Item

Cites Work

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• Thin Lehman matrices and their graphs
• A new infinite family of minimally nonideal matrices
• On circular critical graphs
• Lehman matrices
• A catalog of minimally nonideal matrices
• Ideal 0, 1 matrices
• Partitionable graphs arising from near-factorizations of finite groups
• Grinstead's conjecture is true for graphs with a small clique number
• Combinatorial designs and related systems
• On the width—length inequality
• Perfect zero–one matrices

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