Vol. 24 No. 2 (2025): Mapana Journal of Sciences
Research Articles

Bounds on Distance Difference Dominating Energy of a Graph

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  • Lincy E.,
  • Maheswari V.
Lincy E.
PG & Research Department of Mathematics, A.P.C. Mahalaxmi College for Women, Thoothukudi-628002, Tamilnadu, India. Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627012, Tamilnadu, India
Maheswari V.
PG & Research Department of Mathematics, A.P.C. Mahalaxmi College for Women, Thoothukudi-628002, Tamilnadu, India
DOI: https://doi.org/10.12723/mjs.73.6

Published 2025-08-28

Keywords

  • Eigen values,
  • distance difference dominating matrix,
  • distance difference dominating energy

Copyright (c) 2025

Creative Commons License

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Abstract

This work defines distance difference dominating matrix of graph and estimates characteristic values of distance difference dominating matrix. The summation of absolute eigen/characteristic values of graph's distance difference dominating matrix yields distance difference dominating energy of simple connected graph. The properties of distance difference dominating eigen values are analysed. The boundaries of distance difference dominating energy are established.

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