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Computing the precise total distance vertex irregularity strength of prism and web graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 اردیبهشت 1405 اصل مقاله (577.3 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2026.30993.2698 | ||
| نویسندگان | ||
| Mohamed Basher* 1، 2؛ Martin Bača3 | ||
| 1Department of Mathematics, College of Science, Qassim University, P. O. Box 6644, Buraydah,51452, Saudi Arabia | ||
| 2Department of Mathematics and Computer Science, Faculty of Science, Suez University, P.O.Box:43221, Suez, Egypt | ||
| 3Department of Applied Mathematics and Informatics, Technical University, Letn´a 9, Koˇsice, Slovakia | ||
| چکیده | ||
| Given a graph $\Gamma\left(V, E\right)$ with a non-empty vertex set $V$ and edge set $E$. A total $d$-labeling is the allocation of positive integers to the collection $V(\Gamma) \cup E(\Gamma)$. A labeling is termed distance vertex irregular total d-labeling (DVITL) if any two distinct vertices in $V$ possess different weights. The weight of the vertex $u \in V$ is the aggregate of labels of the neighbor vertices and the labels of edges that incident at the vertex $u$. The least number $d$ for which there exists a DVITL of $\Gamma$ is referred to as the total distance vertex irregularity strength of $\Gamma$ symbolized by $\operatorname{tdis}(\Gamma)$. In this research, we compute the precise values of the total distance vertex irregularity strength for prism graphs, web graphs, and web graphs without center. | ||
| کلیدواژه‌ها | ||
| Distance vertex irregular total labeling؛ Total distance vertex irregularity strength,؛ Prisms؛ Web graphs؛ Web graphs without center | ||
| مراجع | ||
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[1] M. Bača, S. Jendrol', M. Miller, and J. Ryan, On irregular total labelings, Discrete Math. 307 (2007), no. 11-12, 1378–1388. https://doi.org/10.1016/j.disc.2005.11.075
[2] G.S. Bloom and S.W. Golomb, Numbered complete graphs, unusual rules, and assorted applications.
[3] G.S. Bloom and S.W. Golomb, Applications of numbered undirected graphs, Proceedings of the IEEE, vol. 65, 1977, pp. 562–570. https://doi.org/10.1109/PROC.1977.10517
[4] G. Chartrand, M.S. Jacobson, J. Lehel, O.R. Oellermann, S. Ruiz, and F. Saba, Irregular networks, Congr. Numer. 64 (1988), 187–192.
[5] J.A. Gallian, A dynamic survey of graph labeling, The Electronic Journal of Combinatorics (2017), #DS6.
[6] S.M. Hegde and S. Shetty, On magic graphs, Australasian J. Combin. 27 (2003), 277–284.
[7] K.M. Koh, D.G. Rogers, H.K. Teo, and K.Y. Yap, Graceful graphs: some further results and problems, Congr. Numer. 29 (1980), 559–571.
[8] M. Miller, C. Rodger, and R. Simanjuntak, Distance magic labellings of graphs, Australas. J. Combin. 28 (2003), 305–315.
[9] S. Slamin, On distance irregular labelling of graphs, Far East Journal of Mathematical Sciences 102 (2017), no. 5, 919–932.
[10] K.A. Sugeng, D.R. Silaban, M. Bača, and A. Semaničová-FeňovčÍková, Local inclusive distance vertex irregular graphs, Mathematics 9 (2021), no. 14, 1673. https://www.mdpi.com/2227-7390/9/14/1673
[11] F. Susanto, K. Wijaya, P.M. Purnama, and S. Slamin, On distance irregular labeling of disconnected graphs, Kragujevac J. Math. 46 (2022), no. 4, 507–523. https://doi.org/10.46793/KgJMat2204.507S
[12] F. Susanto, K. Wijaya, I.W. Sudarsana, and S. Slamin, Non-inclusive and inclusive distance irregularity strength for the join product of graphs, Electron. J. Graph Theory Appl. 10 (2022), no. 1, 1–13. https://doi.org/10.5614/ejgta.2022.10.1.1
[13] D.E. Wijayanti, N. Hidayat, D. Indriati, and A.R. Alghofari, The total distance vertex irregularity strength of fan and wheel graphs, In AIP Conference Proceedings, vol. 2326, AIP Publishing LLC, 2021, p. 020043.
[14] D.E. Wijayanti, N. Hidayat, D. Indriati, and A.R. Alghofari, On distance vertex irregular total k-labeling, Science and Technology Indonesia 8 (2023), no. 3, 479–485. https://doi.org/10.26554/sti.2023.8.3.479-485
[15] D.E. Wijayanti, N. Hidayat, D. Indriati, and A.R Alghofari, Total distance vertex irregularity strength of some corona product graphs, Electron. J. Graph Theory Appl. 11 (2023), no. 1, 209–222. https://doi.org/10.5614/ejgta.2023.11.1.17 | ||
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