Lower bounds for the depth of the second power of edge ideals

Lower bounds for the depth of the second power of edge ideals

Assume that G is a graph with edge ideal I ( G ). We provide sharp lower bounds for the depth of I ( G ) 2 in terms of the star packing number of G .

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Veröffentlicht in:Collectanea mathematica (Barcelona) 2024-05, Vol.75 (2), p.535-544
1. Verfasser: Seyed Fakhari, S. A.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Lower bounds
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:Assume that G is a graph with edge ideal I ( G ). We provide sharp lower bounds for the depth of I ( G ) 2 in terms of the star packing number of G .
ISSN:0010-0757
2038-4815
DOI:10.1007/s13348-023-00398-5