Total Neighborhood Magic Labeling for Complete Graphs.

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Bibliographic Details
Title: Total Neighborhood Magic Labeling for Complete Graphs.
Authors: Patel, M. A.1 dr.mahendraapatel@gmail.com, Parmar, Y. M.2 ymp.maths@gmail.com, Bosmia, M. I.1 cosmicmohit@gmail.com, Vihol, P. L.3 viholprakash@vgecg.ac.in, Shukla, H. S.2 hsshukla94@gmail.com, Diwan, D. M.4 dm_diwan@yahoo.com
Source: IAENG International Journal of Applied Mathematics. Feb2026, Vol. 56 Issue 2, p769-776. 8p.
Subjects: Complete graphs, Graph labelings, Graph connectivity, Bijections, Mathematics, Graph theory
Abstract: A total neighborhood magic labeling on a graph with v vertices and e edges is a bijection f taking vertices and edges onto the numbers 1,2,. . ., v+e with the property that there is a constant k such that at any vertex q, Σ p∈N(q) (f (p) + f (pq)) = k, where N(q) is the set of neighborhood vertices of q. A graph which admits a total neighborhood magic labeling is called a total neighborhood magic graph. This paper examines a total neighborhood magic labeling for complete graph with even vertices. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:A total neighborhood magic labeling on a graph with v vertices and e edges is a bijection f taking vertices and edges onto the numbers 1,2,. . ., v+e with the property that there is a constant k such that at any vertex q, Σ p∈N(q) (f (p) + f (pq)) = k, where N(q) is the set of neighborhood vertices of q. A graph which admits a total neighborhood magic labeling is called a total neighborhood magic graph. This paper examines a total neighborhood magic labeling for complete graph with even vertices. [ABSTRACT FROM AUTHOR]
ISSN:19929978