A note on adjacency preservers on Hermitian matrices over finite fields

DOI10.1016/j.ffa.2009.02.005zbMath1183.15027OpenAlexW2093358864MaRDI QIDQ841236

Marko Orel

Publication date: 15 September 2009

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2009.02.005

zbMATH Keywords

distance-regular graphfinite fieldrankchromatic numbergraph homomorphismHermitian matrixadjacency preserver

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57) Distance in graphs (05C12) Vector spaces, linear dependence, rank, lineability (15A03) Linear preserver problems (15A86)

Related Items (11)

Adjacency preservers on invertible Hermitian matrices. I. ⋮ Adjacency preservers on invertible Hermitian matrices. II. ⋮ Endomorphisms of twisted Grassmann graphs ⋮ On generalizations of the Petersen graph and the Coxeter graph ⋮ Adjacency preserving maps between exterior powers of vector spaces ⋮ Adjacency preservers, symmetric matrices, and cores ⋮ Graphs associated with matrices over finite fields and their endomorphisms ⋮ On endomorphisms of alternating forms graph ⋮ Maps preserving matrix pairs with zero Jordan product ⋮ On Minkowski space and finite geometry ⋮ Nonstandard rank-one nonincreasing maps on symmetric matrices

Cites Work

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• On subdirect decomposition and varieties of some rings with involution
• Adjacency preserving mappings of symmetric and Hermitian matrices
• Adjacency preserving mappings of \(2 \times 2\) Hermitian matrices
• Geometry ofn × n(n ≥ 3) Hermitian Matrices Over Any Division Ring with an Involution and Its Applications
• Adjacency Preserving Maps on Hermitian Matrices
• Hermitian Varieties in a Finite Projective Space PG(N, q²)

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