Chromatic Classification of Dismantlable Lattices

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Authors

  • Madhukar M. Pawar
     T. E. S's Smt. V. U. Patil Arts and Late Dr. B. S. Desale Science College, SAKRI Dist. Dhule 424304 ,IN
  • Vandana P. Bhamre
     Department of Applied Science, Shri Gulabrao Deokar College of Engineering., Jalgaon 425002 ,IN

Keywords:

Lattice, Dismantlable Lattice, Adjunct Operation, Covering Graph, Chromatic Number.

Abstract

A complete classification of the class of dismantlable lattices in terms of chromatic numbers is given. In fact, it is proved that a dismantlable lattice is at most 3-chromatic and the class of 2-Chromatic dismantlable lattices is characterized by using the structure theorem for dismantlable lattices.

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Published

2016-12-01

How to Cite

Pawar, M. M., & Bhamre, V. P. (2016). Chromatic Classification of Dismantlable Lattices. The Journal of the Indian Mathematical Society, 83(3-4), 329–335. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/6613

Issue

Volume 83, Issue 3-4, July-December 2016

Section

Articles

License

Copyright (c) 2016 Madhukar M. Pawar, Vandana P. Bhamre

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

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