A Study on Harmonious Coloring of Circulant Networks

Authors

  • Franklin Thamil Selvi.M.S

  • Amutha A

  • Antony Mary A

How to Cite

Thamil Selvi.M.S, F., A, A., & A, A. M. (2018). A Study on Harmonious Coloring of Circulant Networks. International Journal of Engineering and Technology, 7(4.10), 393-395. https://doi.org/10.14419/ijet.v7i4.10.20945

Received date: October 4, 2018

Accepted date: October 4, 2018

Published date: October 2, 2018

DOI:

https://doi.org/10.14419/ijet.v7i4.10.20945

Keywords:

Circulant Network, Diameter, Diametrically uniform graph, Harmonious coloring, Matching,

Abstract

Given a simple graph , a harmonious coloring of  is the proper vertex coloring such that each pair of colors seems to appears together on at most one edge. The harmonious chromatic number of , denoted by  is the minimal number of colors in a harmonious coloring of . In this paper we have determined the harmonious chromatic number of some classes of Circulant Networks.

 

 

References

  1. [1] Asdre K, Ioannidou K and Nikolopoulos S. D, “The harmonious coloring problem is NP-Complete for interval and permutation graphsâ€, Discrete Applied Math, vol. 155, (2007), pp. 2377-2382.

    [2] Campbell D and Edwards K. J, “A new lower bound for the harmonious chromatic numberâ€, Australasian Journal of Combinatorics, vol.29, (2004), pp. 99–102.

    [3] K. J. Edwards and C. J. H. Diarmid, “The complexity of harmonious coloring for treesâ€, Discrete Applied Math, vol.57, (1995), pp.133-144.

    [4] K. J. Edwards and C. J. H. Diarmid, “New upper bounds on harmonious coloringâ€, Journal Of Graph Theory, Vol. 18, (1994), pp. 257-267.

    [5] Paul Manuel, Bharati Rajan, Indra Rajasingh, Amutha Alaguvel, “Tree Spanners, Cayley Graphs and Diametrically Uniform Graphsâ€, LNCS,vol. 2880, (2003) pp.334-345.

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How to Cite

Thamil Selvi.M.S, F., A, A., & A, A. M. (2018). A Study on Harmonious Coloring of Circulant Networks. International Journal of Engineering and Technology, 7(4.10), 393-395. https://doi.org/10.14419/ijet.v7i4.10.20945

Received date: October 4, 2018

Accepted date: October 4, 2018

Published date: October 2, 2018