Even-odd Harmonious Labeling of Some Graphs
Dhvanik Zala1, Narendra Chotaliya2, Mehul Chaurasiya3
1Dhvanik H. Zala*, Humanities and Science Department, Darshan Institute of Engineering and Technology, Gujarat Technological University Rajkot, India.
2Narendra T. Chotaliya, Department of Mathematics, Shri M. P. Shah college of science, Saurashtra University, Rajkot, India.
3Mehul A. Chaurasiya, Department of Mathematics, Shri H. N. Shukla, Saurashtra University, College, Rajkot, India.
Manuscript received on February 01, 2021. | Revised Manuscript received on February 13, 2021. | Manuscript published on February 28, 2021. | PP: 149-151 | Volume-10 Issue-4, February 2021 | Retrieval Number: 100.1/ijitee.D85130210421| DOI: 10.35940/ijitee.D8513.0210421
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Let G = be a graph, with and . An injective mapping is called an even-odd harmonious labeling of the graph G, if an induced edge mapping such that (i) is bijective mapping (ii) The graph acquired from this labeling is called even-odd harmonious graph. In this paper, we discovered some interesting results like H-graph, comb graph, bistar graph and graph for even-odd harmonious labeling.
Keywords: Comb graph, Even-odd harmonious labeling, H-graph, Injective mapping.