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Total coloring of graphs associated with algebraic structures and ordered structures

Author

Listed:
  • Nilesh Khandekar

    (Savitribai Phule Pune University)

  • Vinayak Joshi

    (Savitribai Phule Pune University)

Abstract

In this paper, we prove that the zero-divisor graphs of finite posets and the complement of zero-divisor graphs of finite 0-distributive posets satisfy the Total Coloring Conjecture. These results are applied to zero-divisor graphs of finite reduced commutative rings, comaximal ideal graphs, (co-) annihilating ideal graphs of commutative rings with finitely many ideals and intersection graphs of Artinian principal ideal rings.

Suggested Citation

  • Nilesh Khandekar & Vinayak Joshi, 2025. "Total coloring of graphs associated with algebraic structures and ordered structures," Indian Journal of Pure and Applied Mathematics, Springer, vol. 56(2), pages 535-544, June.
    • Handle: RePEc:spr:indpam:v:56:y:2025:i:2:d:10.1007_s13226-023-00500-4
    DOI: 10.1007/s13226-023-00500-4
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