Very well-covered graphs and their \(h\)-vectors

DOI10.1007/s10474-014-0459-4zbMath1374.13027OpenAlexW2069086525MaRDI QIDQ520020

A. Soleyman Jahan, N. Hajisharifi, Siamak Yassemi

Publication date: 31 March 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-014-0459-4

zbMATH Keywords

\(h\)-vectorCohen-Macaulayvertex decomposableflag complexvery-well covered graph

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of commutative algebra (05E40)

Related Items (1)

A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra

Cites Work

• Balanced vertex decomposable simplicial complexes and their \(h\)-vectors
• Vertex decomposability and regularity of very well-covered graphs
• Face vectors of flag complexes
• Algebraic properties of edge ideals via combinatorial topology
• Cohen-Macaulay graphs
• Very well covered graphs
• Combinatorics and commutative algebra.
• Cohen--Macaulay chordal graphs
• Cohen–Macaulay Graphs and Face Vectors of Flag Complexes
• Vertex decomposable graphs and obstructions to shellability
• Sequentially Cohen-Macaulay edge ideals
• Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra
• Shellable Nonpure Complexes and Posets. I
• Algebraic Properties of Product of Graphs
• On the $h$-vectors of Cohen-Macaulay Flag Complexes

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