On Third Leap Zagreb Index of Some Generalized Graph Structures
S. Swathi1, C. Natarajan2, K. Balasubramanian3, M. Swathi4
1S. Swathi, Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam, Tamil Nadu, India.
2C. Natarajan, Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam, Tamil Nadu, India.
3K.Balasubramanian, Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam, Tamil Nadu, India.
4M. Swathi Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam, Tamil Nadu, India.
Manuscript received on 26 August 2019. | Revised Manuscript received on 03 September 2019. | Manuscript published on 30 September 2019. | PP: 3170-3175 | Volume-8 Issue-11, September 2019. | Retrieval Number: K25100981119/2019©BEIESP | DOI: 10.35940/ijitee.K2510.0981119
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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 connected graph with n vertices. The 2- degree of a vertex v in G is the number of vertices which are at distance two from v in G. The third leap Zagreb index of G is the sum of product of degree and 2-degree of all vertices in G. In this paper, we determine the exact values for the third leap Zagreb index of some generalized graph structures.
Keywords: Thorn graphs, Generalized graph structures, Leap Zagreb indices.
Scope of the Article: Graph Algorithms and Graph Drawing