On even-odd meanness of super subdivision of some graphs
DOI:
https://doi.org/10.22199/issn.0717-6279-5302Keywords:
labeling, even-odd meanness, biograph, super subdivisionAbstract
Graph Labeling is a significant area of graph theory that is used in a variety of applications like coding hypothesis, x-beam crystallography, radar, cosmology, circuit design, correspondence network tending to, and database administration. This study provides a general overview of graph naming in heterogeneous fields, however it primarily focuses on graph subdivision. The even vertex odd meanness of super subdivide of various graphs is discussed in this study. The graphs generated by super subdivided of path, cycle, comb, crown, and planar grid are even-odd mean graphs, according to our proof.
References
M. Basher, “Further results on even vertex odd mean graphs”, Journal of Discrete Mathematical Sciences and Cryptography, vol. 24, no. 1, pp. 93-117, 2021. https://doi.org/10.1080/09720529.2019.1675301
M. Basher, “Even vertex odd mean labeling of some cycle related graphs”, Journal of Discrete Mathematical Sciences and Cryptography, 2021. https://doi.org/10.1080/09720529.2020.1841969
M. Basher, “On even vertex odd mean labeling of the calendula graphs”, Proyecciones (Antofagasta), vol. 39, no. 6, pp. 1515-1535, 2020. https://doi.org/10.22199/issn.0717-6279-2020-06-0091
J. A. Gallian, “A dynamic survey of graph labeling”, The Electronic Journal of Combinatorics, 20th ed. #DS6, 2017.
S. Golomb, “How to number a graph”, in Graph theory and computing, R. C. Reading, Ed. New York: Academic Press, 1972.
F. Harary, Graph Theory. Reading (MA): Addison-Wesley, 1972.
M. Kannan, R. Vikrama Prasad and R. Gopi, “Some Graph Operations Of Even Vertex Odd Mean Labeling Graphs”, International Journal of Applied Engineering Research, vol. 12, no. 18, pp. 7749-7753, 2017.
A. Rosa, On certain valuations of the vertices of a graph, Theory of graphs (International symposium, Rome, July 1966). New York: Gordon and Breach, 1967.
G. Sethuraman and P. Selvaraju, “Gracefulness of Arbitrary of Super Subdivision of Graphs”, Indian Journal of Pure and Applied Mathematics, vol. 32, no. 7, pp. 1059-1064, 2001.
R. Vasuki, A. Nagarajan and S. Arockiaraj, “Even vertex odd mean labeling of graphs”, SUT Journal of Mathematics, vol. 49, no. 2, pp. 79-92, 2013. https://doi.org/10.55937/sut/1394108286
R. Vikrama Prasad, M. Kannan and R. Gopi, “Some results on even vertex odd mean labeling graphs”, International Journal of Mechanical Engineering and Technology, vol. 9, no. 2, pp. 615-621, 2018.
V. Yegnanaryanan and P. Vaidhyanathan, “Some interesting Applications of graph labelings”, International Journal of Computational and Mathematical Sciences, vol. 2, no. 5, pp. 1522-1531, 2012.
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Copyright (c) 2022 Mohamed Basher, Muhammad Kamran Siddiqui
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