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A note on f-graphs.
- Source :
-
Journal of Algebra & Its Applications . Oct2020, Vol. 19 Issue 10, pN.PAG-N.PAG. 9p. - Publication Year :
- 2020
-
Abstract
- The notion of f -ideal was introduced in [G. Q. Abbasi, S. Ahmad, I. Anwar and W. A. Baig, f -Ideals of degree 2, Algebra Colloq.19(1) (2012) 921–926] in 2012 and has been studied in many papers after that. In this paper, we have studied those graphs whose Stanley–Reisner ideals turn out to be f -ideals. We give a characterization and construction of these graphs and show that, unlike f -graphs, these graphs are always connected. We have also discussed when these graphs are complete bipartite graphs. Moreover, we classify those graphs for which both the facet ideal (the edge ideal) and the Stanley–Resiner ideal, are f -ideals. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BIPARTITE graphs
*COMPLETE graphs
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 19
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 145304240
- Full Text :
- https://doi.org/10.1142/S0219498820501935