Book Details

SOME PROPERTIES OF THE SQUARE GRAPH OF FINITE ABELIAN GROUPS

International Conference on Algebra and Discrete Mathematics (ICADM-2020) on 24 to 26, June 2020, Department of Mathematics, DDE, Madurai Kamaraj University, Tamil Nadu, India. International Journal of Computer Science (IJCS) Published by SK Research Group of Companies (SKRGC)

Download this PDF format

Abstract

Let G be a finite a belian group. The square graph of G is the simple un directed graph with vertex set G in which two distinct vertices x and y are adjacent if and only if x + y = 2 t for some ... Download PDF...

References

[1] D.F. Anderson, P.S. Livingston, The zero-divisor graph of a commutative ring, J. Algebra 217 (2) (1999) 434–447.

[2] Bijon Biswas, Raibatak Sen Gupta, On the connectedness of square element graphs overNarbitrary rings, South East Asian bull Math.,43 (2) (2019), 153–164.

[3] Bijon Biswas, Raibatak Sen Gupta, M.K. Sen, S. Kar, Some properties of square element graphs over semigroups, AKCE International Journal of Graphs and Combinatorics, To Ap-pear.

[4] F. DeMeyer, L. DeMeyer, Zero divisor graphs of semigroups, J. Algebra 283 (1) (2005) 190–198.

[5] J. Gallian, Contemporary Abstract Algebra, Narosa Publishing House, London, 1999.

[6] J.M. Howie, Fundamentals of Semigroup Theory, Clarendon Press, 1995.

[7] R. Raveendra Prathap and T. Tamizh Chelvam, Complement graph of the square graph of finite abelian groups, Communicated.

[8] R. Sen Gupta and M.K.Sen, The square element graph over a finite commutative ring, South East Asian bull Math.,39 (3) (2015), 407–428.

[9] R. Sen Gupta, M.K. Sen, The square element graph over a ring, Southeast Asian Bull. Math.41 (5) (2017) 663–682.

[10] M. Snowden, Square roots in finite full transformation semigroups, Glasgow Math. J 23 (2) (1982) 137–149

[11] D.B. West, Introduction to Graph Theory, Prentice Hall of India, New Delhi, 2003.

[12] R. J. Wilson, Introduction to Graph Theory, 4th ed, Addison-Wesley Longman Publishing Co, 1996.

Keywords

abelian group, square graph, perfect, chromatic number.

Image
  • Format Volume 8, Issue 2, No 2, 2020
  • Copyright All Rights Reserved ©2020
  • Year of Publication 2020
  • Author R. RAVEENDRA PRATHAP, T. TAMIZH CHELVAM
  • Reference IJCS-367
  • Page No 2484-2488

Copyright 2024 SK Research Group of Companies. All Rights Reserved.