A mathematical model for apportionment and reapportionment using F26A graph and the magic labeling

Downloads

Abstract

he Allotment of a set of integers to vertices and edges of a graph satisfying certain conditions termed as
labelling of a graph. It was introduced in the late 1960s by (5). The concept of magic labelling which is one of the
many labellings itself has a variety. By fixing some natural number (here some atomic numbers) to the edges of
F26A graph, it is proved to be a magic graph

Keywords:

F26A graph, Magic Labeling, Apportionment, Reapportionment, Atomic Number of Elements with their symbols

Mathematics Subject Classification:

Mathematics
  • Pages: 396-398
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

A.Gallian, A dynamic survey of graph labeling, The Electronic Journal of Combinatorics 19(2009), 1 - 219.

F.Harary, Graph Theory, Addision Wesley, Reading, Mass, 1972

I.Z. Bouwer(Ed), F26A Graph, The Foster Census, Charles Babbage Research Center, Winnipeg, 1988.

Wahid U. Malik, G.D. Tuli and R.D. Madan, Atomic Number Of Elements-Inorganic Chemistry -Revised Edition, S. CHAND, 2010.

A. Rosa, On certain valuations of the vertices of a graph, Theory of graphs, Int. Symp. Rome, Gordan and Breach, N.Y. and Dunod paris (1996), 349-355.

A. Kotzig and A. Rosa, Magic valuations of finite graphs, Canad. Math. Bull. 13(1970), 451 - 461 .

Merriam, Webster Dictionary Premium latest version, 2020.

Metrics

Metrics Loading ...

Published

01-01-2021

How to Cite

Md. Shahira Sulthana, G. Margaret Joan Jebarani, and L. Sujatha. “A Mathematical Model for Apportionment and Reapportionment Using F26A Graph and the Magic Labeling”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 396-8, https://www.malayajournal.org/index.php/mjm/article/view/1047.