EDP Sciences logo
Web of Conferences logo
Search
Menu
All issues Volume 500 (2024) E3S Web Conf., 500 (2024) 03046 References
Open Access
Issue
E3S Web Conf.
Volume 500, 2024
The 1st International Conference on Environment, Green Technology, and Digital Society (INTERCONNECTS 2023)
Article Number 03046
Number of page(s) 10
Section Engineering and Technology
DOI https://doi.org/10.1051/e3sconf/202450003046
Published online 11 March 2024
  1. Chartrand, G. ; Eroh, L. ; Johnson, M.A. ; Oellermann, O.R. Resolvability in Graphs and the Metric Dimension of a Graph. Discret. Appl. Math. 2000, 105, 99–113, doi:10.1016/S0166-218X(00)00198-0. [CrossRef] [Google Scholar]
  2. Okamoto, F. ; Crosse, L. ; Phinezy, B. ; Zhang, P. The Local Metric Dimension of a Graph. Math. Bohem. 2010, 135, 239–255. [CrossRef] [Google Scholar]
  3. Ghalavand, A. ; Henning, M.A. ; Tavakoli, M. On a Conjecture About the Local Metric Dimension of Graphs. Graphs Comb. 2023, 39, 1–11, doi:10.1007/s00373-022-02601-z. [CrossRef] [Google Scholar]
  4. Cynthia, V.J.A. ; Ramya, M. ; Prabhu, S. Local Metric Dimension of Certain Classes of Circulant Networks. J. Adv. Comput. Intell. Intell. Informatics 2023, 27, 554–560, doi:10.20965/jaciii.2023.p0554. [CrossRef] [Google Scholar]
  5. Lal, S. ; Bhat, V.K. On the Local Metric Dimension of Generalized Wheel Graph. Asian-European J. Math. 2023, 16, doi:10.1142/S1793557123501942. [CrossRef] [Google Scholar]
  6. Ali, S. ; Falcón, R.M. ; Mahmood, M.K. Local Fractional Metric Dimension of Rotationally Symmetric Planar Graphs Arisen from Planar Chorded Cycles. Rend. di Mat. e delle Sue Appl. 2023, 44, 159–179. [Google Scholar]
  7. Jamil, F. ; Kashif, A. ; Zafar, S. ; Ojiema, M.O. Local Fractional Strong Metric Dimension of Certain Complex Networks. Complexity 2023, 2023, doi:10.1155/2023/3635342. [CrossRef] [Google Scholar]
  8. Susilowati, L. ; Istikhomah, S. ; Utoyo, M.I. ; Slamin, S. The Local Complement Metric Dimension of Graphs. Discret. Math. Algorithms Appl. 2023, 15, doi:10.1142/S1793830922500732. [CrossRef] [Google Scholar]
  9. Sutardji, N.A. ; Susilowati, L. ; Purwati, U.D. Dimensi Metrik Kuat Lokal Graf Hasil Operasi Kali Kartesian. Contemp. Math. Appl. 2019, 1, 64–73, doi:10.20473/CONMATHA.V1I2.17383. [Google Scholar]
  10. Umilasari, R. ; Susilowati, L. ; Slamin, S. ; Prabhu, S. On the Dominant Local Metric Dimension of Corona Product Graphs. IAENG Int. J. Appl. Math. 2022, 52, 1098–1104. [Google Scholar]
  11. Lal, S. ; Bhat, V.K. On the Dominant Local Metric Dimension of Some Planar Graphs. Discret. Math. Algorithms Appl. 2023, 15, doi:10.1142/S179383092250152X. [CrossRef] [Google Scholar]
  12. Listiana, Y. ; Susilowati, L. ; Slamin, S. ; Osaye, F.J. A Central Local Metric Dimension on Acyclic and Grid Graph. AIMS Math. 2023, 8, 21298–21311, doi:10.3934/MATH.20231085. [CrossRef] [Google Scholar]
  13. Chartrand, G. ; Lesniak, L. ; Zhang, P. Graphs & Digraphs 6th Edition; sixth.; CRC Press: New York, 2015; ISBN 9781498735803. [Google Scholar]
  14. Solekhah, R.A. ; Kusmayadi, T.A. On the Local Metric Dimension of T-Fold Wheel, Pn o Km, and Generalized Fan. Indones. J. Comb. 2018, 2, 88, doi:10.19184/ijc.2018.2.2.4. [Google Scholar]
  15. Khoiriah, S. ; Atmojo Kusmayadi, T. The Local Metric Dimension of Generalized Broken Fan Graph and Edge Corona Product of Star Graph and Path Graph. J. Phys. Conf. Ser. 2019, 1306, doi:10.1088/1742-6596/1306/1/012015. [CrossRef] [Google Scholar]
  16. Susilowati, L. ; Sa’adah, I. ; Fauziyyah, R.Z. ; Erfanian, A. ; Slamin The Dominant Metric Dimension of Graphs. Heliyon 2020, 6, e03633, doi:10.1016/J.HELIYON.2020.E03633. [CrossRef] [PubMed] [Google Scholar]
  17. Listiana, Y. ; Susilowati, L. ; Slamin A Graph with Central and Local Reference Set. In Proceedings of the Proceedings of the 4th Borobudur International Symposium on Science and Technology 2022 (BIS-STE 2022); Atlantis Press International BV, 2023; Vol. 2, pp. 515–524. [CrossRef] [Google Scholar]
  18. Susilowati, L. ; Slamin, S. ; Utoyo, M.I. ; Estuningsih, N. The Similarity of Metric Dimension and Local Metric Dimension of Rooted Product Graph. Far East J. Math. Sci. 2015, 97, 841–856,doi:http://dx.doi.org/10.17654/FJMSAug2015_841_856. [Google Scholar]
  19. Listiana, Y. ; Susilowati, L. ; Slamin, S. ; Dliou, K. A Central Local Metric Dimension of Multiple Graphs with A Single Central Vertex. AIMS Math. 2024. [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.