Abstract
In this chapter, we present detailed proofs of a few stated results to illustrate how the inductive techniques introduced in the last chapter can be applied to the study of the regularity of powers of edge ideals.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S. Beyarslan, H.T. Hà, T.N. Trung, Regularity of powers of forests and cycles. J. Algebraic Combin. 42(4), 1077–1095 (2015)
S. Jacques, Betti numbers of graph ideals. Ph.D. Thesis, University of Sheffield (2004). math.AC/0410107
S. Morey, Depths of powers of the edge ideal of a tree. Commun. Algebra 38(11), 4042–4055 (2010)
X. Zheng, Resolutions of facet ideals. Commun. Algebra 32, 2301–2324 (2004)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Carlini, E., Tài Hà, H., Harbourne, B., Van Tuyl, A. (2020). Examples of the Inductive Techniques. In: Ideals of Powers and Powers of Ideals. Lecture Notes of the Unione Matematica Italiana, vol 27. Springer, Cham. https://doi.org/10.1007/978-3-030-45247-6_6
Download citation
DOI: https://doi.org/10.1007/978-3-030-45247-6_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-45246-9
Online ISBN: 978-3-030-45247-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)