Edge cordial and total edge cordial labeling for eight sprocket graph
DOI:
https://doi.org/10.14419/ijamr.v10i2.31621Published:
2021-08-10Keywords:
Edge Cordial, Eight- Sprocket Graph, Path Union of Graphs, Cycle of Graphs, Star of a Graph.Abstract
This papers deals with the Edge cordial labeling of newly introduced eight sprocket graph. This graph is already proven as cordial and gracious in graph labelling. In our study we have further proved that Eight Sprocket graph related families of connected edge-cordial graphs. Also the path union of Eight Sprocket graph, cycle of Eight Sprocket graph and star of Eight Sprocket graph are Edge-cordial.
References
[1] F. Harary, Graph theory, Narosa Publishing House, (2001).
[2] G. S. Bloom and S. W. Golomb, Application of numbered undirected graphs, IEEE, 65(1977), 562-570. https://doi.org/10.1109/PROC.1977.10517.
[3] Cahit, Cordial graphs: A weaker version of graceful and harmonious graphs, Ars Combin, 23(1987), 201-207.
[4] J. A. Gallian, A Dynamic survey of graph labeling, The Electronics Journal of Combinatorics, 22(2019). https://doi.org/10.37236/27.
[5] J. C. Kanani and V. J. Kaneria , Cordial Labeling for Eight Sprocket Graph, Int. J. Math. And Appl., 9(1)(2021), 67{72} https://doi.org/10.1201/9781003038436-1.
[6] J. C. Kanani and V. J. Kaneria , Graceful Labeling for Eight Sprocket Graph, Recent Advancements in Graph Theory, 2020 (1), CRC Press. https://doi.org/10.1201/9781003038436-1.
[7] S. W. Golomb, How to number a graph, Graph Theory and Computing, (R. C. Read. Ed.) Academic Press, (1972), 23{37}. https://doi.org/10.1016/B978-1-4832-3187-7.50008-8.
[8] V. J. Kaneria, H. P. Chudasama and P. P. Andharia, Absolute mean graceful labeling in path union of various graphs, Mathematical Journal of Interdisciplinary Sciences, 7(2018), 51-56. https://doi.org/10.15415/mjis.2018.71008.
License
Authors who publish with this journal agree to the following terms:
                          [1]           Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
                          [2]           Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
                          [3]           Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).