Production matrices for geometric graphs

DOI10.1016/j.endm.2016.09.052zbMath1356.05028OpenAlexW2536539686WikidataQ61732466 ScholiaQ61732466MaRDI QIDQ510608

Carlos Seara, Rodrigo I. Silveira, Alexander Pilz, Clemens Huemer

Publication date: 13 February 2017

Full work available at URL: http://hdl.handle.net/2117/103649

zbMATH Keywords

Catalan numbergeometric graphRiordan arrayproduction matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Planar graphs; geometric and topological aspects of graph theory (05C10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (4)

New production matrices for geometric graphs ⋮ Characteristic polynomials of production matrices for geometric graphs ⋮ New results on production matrices for geometric graphs ⋮ A new lower bound on the maximum number of plane graphs using production matrices

Cites Work

• Geometric tree graphs of points in convex position
• Analytic combinatorics of non-crossing configurations
• Production matrices
• Graph of triangulations of a convex polygon and tree of triangulations
• Generating trees and proper Riordan arrays
• Extremal statistics on non-crossing configurations
• ECO:a methodology for the enumeration of combinatorial objects
• A Class of Hessenberg Matrices with Known Eigenvalues and Inverses
• On the Eigenvalues and Eigenvectors of a Class of Hessenberg Matrices

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