Support Neighbourly Edge Irregular Graphs
N.R. Santhi Maheswari1, K. Amutha2
1AN. R. Santhi Maheswari, Associate Professor and Head, PG and Research Department of Mathematics, G.Venkataswamy Naidu College, Kovilpatti – 628 502, (Tamil Nadu), India. Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli – 627 012,Tamil Nadu, India.
2K. Amutha, Research Scholar (Reg No:18112052092001), PG and Research Department of Mathematics, G.Venkataswamy Naidu College, Kovilpatti – 628 502, (Tamil Nadu), India. Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli – 627 012, Tamil Nadu, India.
Manuscript received on 15 August 2019. | Revised Manuscript received on 20 August 2019. | Manuscript published on 30 September 2019. | PP: 5329-5332 | Volume-8 Issue-3 September 2019 | Retrieval Number: C6878098319/2019©BEIESP | DOI: 10.35940/ijrte.C6878.098319
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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: TIn this paper, we introduce a new family of irregular graphs called support neighbourly edge irregular graphs based on degree in edge sense. In any graph, the support of an edge is the sum of the edge degrees of its neighbours. A graph is said to be support neighbourly edge irregular(or simply SNEI), if any two adjacent edges have different support. Basic properties of theses graphs are studied. A necessary and sufficient condition for a graph to be SNEI has been obtained and several methods to construct SNEI graph from other graphs have been discussed.
Key words: Neighbourly Irregular Graphs, Neighbourly Edge Irregular Fuzzy Graphs, Support Neighbourly Irregular Graphs, Support Neighbourly Edge Irregular Graphs. AMS Subject Classification :Primary: 05C12, Secondary: 03E72, 05C72.
Scope of the Article: Classification