An Inhomogeneous Lambda-Determinant
Copyright policy )An Inhomogeneous Lambda-Determinant
We introduce a multi-parameter generalization of the Lambda-determinant of Robbins and Rumsey, based on the cluster algebra with coefficients attached to a T-system recurrence. We express the result as a weighted sum over alternating sign matrices.
Exact enumeration problems, generating functions, Directed graphs (digraphs), tournaments, FOS: Physical sciences, Determinants, permanents, traces, other special matrix functions, Mathematical Physics (math-ph), discrete integrable systems, \(q\)-calculus and related topics, alternating sign matrices, networks, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Small world graphs, complex networks (graph-theoretic aspects), Paths and cycles, Mathematical Physics, Combinatorial aspects of matrices (incidence, Hadamard, etc.), cluster algebra
Exact enumeration problems, generating functions, Directed graphs (digraphs), tournaments, FOS: Physical sciences, Determinants, permanents, traces, other special matrix functions, Mathematical Physics (math-ph), discrete integrable systems, \(q\)-calculus and related topics, alternating sign matrices, networks, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Small world graphs, complex networks (graph-theoretic aspects), Paths and cycles, Mathematical Physics, Combinatorial aspects of matrices (incidence, Hadamard, etc.), cluster algebra
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