A note on higher-dimensional magic matrices
Peter J. Cameron (Queen Mary), Christian Krattenthaler (Universit\"at, Wien), and Thomas W. M\"uller (Queen Mary)
TL;DR
This paper derives exact and asymptotic formulas for counting specific higher-dimensional matrices with fixed sum properties, focusing on unrestricted and indecomposable cases.
Contribution
It introduces new formulas for counting higher-dimensional matrices with fixed sum constraints, expanding understanding of their enumeration.
Findings
Exact formulas for counting matrices with sum constraints.
Asymptotic estimates for large matrix sizes.
Analysis of indecomposable matrices in higher dimensions.
Abstract
We provide exact and asymptotic formulae for the number of unrestricted, respectively indecomposable, -dimensional matrices where the sum of all matrix entries with one coordinate fixed equals 2.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Combinatorial Mathematics · Graph Labeling and Dimension Problems · Mathematical Dynamics and Fractals