Enumerating alternating matrix spaces over finite fields with explicit coordinates

DOI10.1016/j.disc.2021.112580zbMath1485.05079arXiv2007.05108OpenAlexW3194629817MaRDI QIDQ1981706

Youming Qiao

Publication date: 6 September 2021

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05108

zbMATH Keywords

\(q\)-calculusalternating bilinear mapsalternating matrix spacesEulerian generating functionslabelled graph enumeration

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Enumeration in graph theory (05C30) Graph labelling (graceful graphs, bandwidth, etc.) (05C78)

Related Items (1)

Connections between graphs and matrix spaces

Cites Work

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• Decomposing \(p\)-groups via Jordan algebras.
• The Eulerian generating function of \(q\)-derangements
• Graphs on unlabelled nodes with a given number of edges
• Existence, algorithms, and asymptotics of direct product decompositions, I
• Enumeration Of Labelled Graphs
• The Number of k-Coloured Graphs on Labelled Nodes
• From Independent Sets and Vertex Colorings to Isotropic Spaces and Isotropic Decompositions: Another Bridge between Graphs and Alternating Matrix Spaces
• Group-theoretic generalisations of vertex and edge connectivities
• On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions
• Asymmetric graphs
• The Factorization of Linear Graphs
• Quantum calculus

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