A linear algebraic view of partition regular matrices

DOI10.1016/j.laa.2010.06.041zbMath1218.15013OpenAlexW1969914407MaRDI QIDQ603111

Jillian McLeod, Leslie Hogben

Publication date: 5 November 2010

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

Full work available at URL: https://lib.dr.iastate.edu/math_pubs/66

zbMATH Keywords

directed graphssign pattern matricescolumns conditionoriented incidence matrixpartition regular matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Ramsey theory (05D10) Directed graphs (digraphs), tournaments (05C20) Connectivity (05C40) Vector spaces, linear dependence, rank, lineability (15A03) Sign pattern matrices (15B35)

Related Items (1)

A rainbow Ramsey analogue of Rado's theorem

Cites Work

• Allow problems concerning spectral properties of sign pattern matrices: a survey
• Regular 2-graphs and extensions of partial geometries
• Studien zur Kombinatorik
• Complexity Lower Bounds using Linear Algebra
• Open Problems in Partition Regularity
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