Next Article in Journal
k-Rainbow Domination Number of P3Pn
Previous Article in Journal
Further Results on the Resistance-Harary Index of Unicyclic Graphs
Article Menu
Issue 2 (February) cover image

Export Article

Open AccessArticle
Mathematics 2019, 7(2), 202; https://doi.org/10.3390/math7020202

Stanley Depth of Edge Ideals of Some Wheel-Related Graphs

1
School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
2
Department od Mathematics, Division of Science and Technology, University of Education, Lahore 54000, Pakistan
3
Department of Mathematics, COMSATS University Islamabad, Vehari Campus 61100, Pakistan
4
Department of Mathematics, COMSATS University Islamabad, Lahore Campus 54000, Pakistan
*
Author to whom correspondence should be addressed.
Received: 28 December 2018 / Revised: 4 February 2019 / Accepted: 6 February 2019 / Published: 21 February 2019
(This article belongs to the Special Issue Algebra and Discrete Mathematics)
Full-Text   |   PDF [672 KB, uploaded 21 February 2019]   |  

Abstract

Stanley depth is a geometric invariant of the module and is related to an algebraic invariant called depth of the module. We compute Stanley depth of the quotient of edge ideals associated with some familiar families of wheel-related graphs. In particular, we establish general closed formulas for Stanley depth of quotient of edge ideals associated with the m t h -power of a wheel graph, for m 3 , gear graphs and anti-web gear graphs. View Full-Text
Keywords: stanley depth; edge ideal; mth-power of wheel graph; gear graph; anti-web gear graph stanley depth; edge ideal; mth-power of wheel graph; gear graph; anti-web gear graph
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Liu, J.-B.; Munir, M.; Farooki, R.; Imran Qureshi, M.; Muneer, Q. Stanley Depth of Edge Ideals of Some Wheel-Related Graphs. Mathematics 2019, 7, 202.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top