Bibliographic Details
| Title: |
SPECTRAL INSIGHTS ON ISOLATED DOMINATION AND BINDING NUMBERS IN GRAPHS. |
| Authors: |
Manohar, S. H.1,2 manoharsh146@gmail.com, Vijendra, N.1 vijendran397@gmail.com, Boregowda, H. S.1 bgsamarasa@gmail.com |
| Source: |
Advances & Applications in Discrete Mathematics. Jul2026, Vol. 43 Issue 5, p661-673. 13p. |
| Subjects: |
Graph theory, Dominating set |
| Abstract: |
The binding number of a graph quantifies how strongly its vertices are tied together by their neighborhoods. In this paper, we prove that if the binding number, b >1, then every isolated realizing set is an isolated dominating set. We further establish several inequalities relating the binding number and the isolated domination number, and derive bounds involving structural parameters and spectral quantities. Our results highlight a close interplay between domination-type parameters and the binding number. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
