The matrix of chromatic joins and the Temperley-Lieb algebra.

DOI10.1016/S0095-8956(03)00071-6zbMath1056.05037MaRDI QIDQ1410733

Sabin Cautis, David M. Jackson

Publication date: 15 October 2003

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

zbMATH Keywords

Birkhoff-Lewis equations

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Coloring of graphs and hypergraphs (05C15)

Related Items (8)

Connected components of meanders. I: Bi-rainbow meanders ⋮ Combinatorial properties of the Temperley-Lieb algebra of a Coxeter group. ⋮ Cellular resolutions of ideals defined by nondegenerate simplicial homomorphisms ⋮ A Heyting algebra on Dyck paths of type \(A\) and \(B\) ⋮ Noncrossing partitions and Bruhat order ⋮ A distributive lattice structure connecting Dyck paths, noncrossing partitions and 312-avoiding permutations ⋮ McKay centralizer algebras ⋮ On Tutte’s chromatic invariant

Cites Work

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• Chain enumeration and non-crossing partitions
• On the Birkhoff-Lewis equations
• The matrix of chromatic joins
• The lattice of non-crossing partitions and the Birkhoff-Lewis equations
• Meanders and the Temperley-Lieb algebra
• A branched covering of \(CP^ 2\to S^ 4\), hyperbolicity and projectivity topology
• Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134)
• Folding and coloring problems in mathematics and physics
• Chromatic Polynomials

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