A Cauchy-Khinchin matrix inequality

DOI10.1016/S0024-3795(98)00019-6zbMath0934.15021OpenAlexW2106339934WikidataQ126400849 ScholiaQ126400849MaRDI QIDQ1808930

van Dam, Edwin R.

Publication date: 25 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)00019-6

zbMATH Keywords

directed graphmatrix inequalityKhinchin's inequalityCauchy-Schwarz inequalityzero-one matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Miscellaneous inequalities involving matrices (15A45) Directed graphs (digraphs), tournaments (05C20) Matrices of integers (15B36)

Related Items (9)

A new matrix inequality involving partial traces ⋮ Improvements on some partial trace inequalities for positive semidefinite block matrices ⋮ A converse of a matrix inequality ⋮ de Caen's inequality and bounds on the largest Laplacian eigenvalue of a graph ⋮ The combinatorics of Dom de Caen ⋮ A Cauchy-Khinchin integral inequality ⋮ A generalization of Cauchy-Khinchin-van Dam inequality ⋮ A Cauchy--Khinchin--van Dam matrix inequality ⋮ On a probability inequality of van Dam

Cites Work

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• Short proofs of Khintchine-type inequalities for zero-one matrices
• Problems in algebraic combinatorics
• An upper bound on the sum of squares of degrees in a graph
• Some extremal problems concerning the square of a (0,1)-matrix
• Graphs with maximal number of adjacent pairs of edges

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