On Crapo's Beta Invariant for Matroids

DOI10.1002/sapm1982663267zbMath0485.05022OpenAlexW2134255838MaRDI QIDQ3944622

James G. Oxley

Publication date: 1982

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1982663267

zbMATH Keywords

chromatic number of matroidsn-connected matroidsseries-parallel extension

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (11)

On ternary transversal matroids ⋮ Connectivity and \(\beta\)-invariants of isotropic systems and 4-regular graphs ⋮ Broken circuit complexes of series-parallel networks ⋮ Bounding the beta invariant of 3-connected matroids ⋮ Distance Hereditary Graphs and the Interlace Polynomial ⋮ Finiteness theorems for matroid complexes with prescribed topology ⋮ Some extremal connectivity results for matroids ⋮ A matroid invariant via the \(K\)-theory of the Grassmannian ⋮ Exploring the Tutte-Martin connection ⋮ Electrical networks and hyperplane arrangements ⋮ Chromatic polynomials and order ideals of monomials

Cites Work

• Unnamed Item
• Decomposition of regular matroids
• Theorems on matroid connectivity
• On the chromatic number of binary matroids
• On certain n-connected matroids.
• COLOURING, PACKING AND THE CRITICAL PROBLEM
• Connectivity in Matroids
• A higher invariant for matroids
• A Combinatorial Model for Series-Parallel Networks
• A Decomposition for Combinatorial Geometries

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