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Depth and Stanley Depth of the Edge Ideals of r -Fold Bristled Graphs of Some Graphs

Author

Listed:
  • Ying Wang

    (Software Engineering Institute of Guangzhou, Guangzhou 510980, China
    Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China)

  • Sidra Sharif

    (School of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad 24090, Pakistan)

  • Muhammad Ishaq

    (School of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad 24090, Pakistan)

  • Fairouz Tchier

    (Mathematics Department, College of Science, King Saud University, Riyadh 11495, Saudi Arabia)

  • Ferdous M. Tawfiq

    (Mathematics Department, College of Science, King Saud University, Riyadh 11495, Saudi Arabia)

  • Adnan Aslam

    (Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore 54000, Pakistan)

Abstract

In this paper, we find values of depth, Stanley depth, and projective dimension of the quotient rings of the edge ideals associated with r -fold bristled graphs of ladder graphs, circular ladder graphs, some king’s graphs, and circular king’s graphs.

Suggested Citation

  • Ying Wang & Sidra Sharif & Muhammad Ishaq & Fairouz Tchier & Ferdous M. Tawfiq & Adnan Aslam, 2023. "Depth and Stanley Depth of the Edge Ideals of r -Fold Bristled Graphs of Some Graphs," Mathematics, MDPI, vol. 11(22), pages 1-17, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:22:p:4646-:d:1279921
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    References listed on IDEAS

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    1. Yongsheng Rao & Qixin Zhou & Maryam Akhoundi & A. A. Talebi & S. Omidbakhsh Amiri & G. Muhiuddin & Naeem Jan, 2023. "Novel Concepts in Rough Cayley Fuzzy Graphs with Applications," Journal of Mathematics, Hindawi, vol. 2023, pages 1-11, April.
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