Critical Groups of Simplicial Complexes
International audience We generalize the theory of critical groups from graphs to simplicial complexes. Specifically, given a simplicial complex, we define a family of abelian groups in terms of combinatorial Laplacian operators, generalizing the construction of the critical group of a graph. We sho...
Main Authors: | , , |
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Other Authors: | , , , , , , , , , |
Format: | Conference Object |
Language: | English |
Published: |
HAL CCSD
2011
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Subjects: | |
Online Access: | https://hal.inria.fr/hal-01215108 https://hal.inria.fr/hal-01215108/document https://hal.inria.fr/hal-01215108/file/dmAO0125.pdf |