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References

  1. Chung, F. R. K. (1989). Pebbling in hypercubes. *SIAM Journal on Discrete Mathematics*, 2(4), 467-472. https://doi.org/10.1137/0402041">https://doi.org/10.1137/0402041
  2. Hurlbert, G. (2013). A survey of graph pebbling. *Journal of Graph Theory*, 73(1), 5-26. https://doi.org/10.1002/jgt.21741">https://doi.org/10.1002/jgt.21741 Davey, B. A., McKee, J. A. (1992). Pebbling graphs. *Discrete Mathematics*, 102(1-3), 241-246. https://doi.org/10.1016/0012-365X(92)90092-B">https://doi.org/10.1016/0012-365X(92)90092-B
  3. Herscovici, D. S., Hester, B. D., Hurlbert, G. H. (2013). t-Pebbling and extensions. *Graphs and Combinatorics*, 29, 955-975. https://doi.org/10.1007/s00373-013-1355-8">https://doi.org/10.1007/s00373-013-1355-8. https://arxiv.org/pdf/0905.3949
  4. Crull, B., Cundiff, T., Feltman, P., Hurlbert, G. H., Pudwell, L., Szaniszlo, Z., Tuza, Z. (2005). The cover pebbling number of graphs. *Discrete Mathematics*, 296(1), 15-23. https://doi.org/10.1016/j.disc.2005.03.009">https://doi.org/10.1016/j.disc.2005.03.009
  5. Lourdusamy, A., Dhivviyanandam, I., Kither Iammal, S. (2022). Monophonic pebbling number and tpebbling number of some graphs. AKCE International Journal of Graphs and Combinatorics, 19(2), 108-111. https://doi.org/10.1080/09728600.2022.2072789">https://doi.org/10.1080/09728600.2022.2072789
  6. Jagatheswari, S., Kavitha, K. C. (2024). The monophonic pebbling number of neural networks with generalized algorithm and their applications. Communications in Combinatorics and Optimization. https://doi.org/10.22049/CCO.2024.29481.2017">https://doi.org/10.22049/CCO.2024.29481.2017
  7. Lourdusamy, A., Dhivviyanandam, I., Iammal, S. K. (2022). Detour pebbling number of unit graphs and co-prime graphs. Conference: Recent Trends in Modern Mathematics, 16-23.
  8. Rani, K. C., Dhivviyanandam, I. (2024). Detour monophonic vertex cover pebbling number (DMVCPN) of some standard graphs. arXiv preprint arXiv:2406.01009. https://doi.org/10.48550/arXiv.2406.01009">https://doi.org/10.48550/arXiv.2406.01009
DOI: https://doi.org/10.2478/jamsi-2025-0002 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180
Language: English
Page range: 23 - 34
Published on: Jun 4, 2025
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year

© 2025 A. Lourdusamy, R. Laxmi Pria, I. Dhivviyanandam, published by Sciendo
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