Geometry and Combinatorics via Right-Angled Artin Groups

Koberda, Thomas

doi:10.1007/978-3-030-97560-9_15

In the Tradition of Thurston II 2022

DOI: 10.1007/978-3-030-97560-9_15

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Geometry and Combinatorics via Right-Angled Artin Groups

Thomas Koberda

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2024

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Loose ear decompositions and their applications to right-angled Artin groups

Gheorghiu

2024

Int. J. Algebra Comput.

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We characterize planar graphs and graph minors among other graph theoretic notions in terms of right-angled Artin groups (RAAGs). For this, we determine all sets of elements in RAAGs with ears as underlying graphs that are exactly the sets of vertex generators. Generalizing ear decompositions of graphs to loose ear decompositions, we characterize both decompositions in terms of RAAGs. The desired results follow as applications of loose ear decompositions of RAAGs.

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Loose ear decompositions and their applications to right-angled Artin groups

Gheorghiu

2024

Int. J. Algebra Comput.

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Geometry and Combinatorics via Right-Angled Artin Groups

Cited by 1 publication

References 95 publications

Loose ear decompositions and their applications to right-angled Artin groups

Loose ear decompositions and their applications to right-angled Artin groups

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