Hamming graphs in Nomura algebras
Copyright policy )Hamming graphs in Nomura algebras
Let A be an association scheme on q\geq 3 vertices. We show that the Bose-Mesner algebra of the generalized Hamming scheme H(n,A), for n\geq 2, is not the Nomura algebra of a type II matrix. This result gives examples of formally self-dual Bose-Mesner algebras that are not the Nomura algebras of type II matrices.
15 pages, minor revision
- Tohoku University Japan
- York University Canada
Nomura algebra, Hamming scheme, duality of association scheme, Numerical Analysis, Algebra and Number Theory, type II matrix, Duality of association scheme, Graphs and abstract algebra (groups, rings, fields, etc.), Type II matrix, FOS: Mathematics, Association schemes, strongly regular graphs, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, Geometry and Topology, Combinatorics (math.CO), 05E30
Nomura algebra, Hamming scheme, duality of association scheme, Numerical Analysis, Algebra and Number Theory, type II matrix, Duality of association scheme, Graphs and abstract algebra (groups, rings, fields, etc.), Type II matrix, FOS: Mathematics, Association schemes, strongly regular graphs, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, Geometry and Topology, Combinatorics (math.CO), 05E30
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!