Key Findings and Validity

Question 1

What are the key findings of your study?

Answer 1

Exact or bounded values of ΓeD(G)\Gamma^D_e(G)ΓeD​(G) for:

Wheel graphs WnW_nWn​,

Complete bipartite graphs Km,nK_{m,n}Km,n​,

Arrow graphs AnA_nAn​,

Structural characterizations of D-eccentric dominating sets,

Observed differences and relationships between upper D-eccentric domination and other domination parameters.

Question 2

Why do you think your research is reliable?

Answer 2

It is based on formal mathematical logic and proof,

It relies on well-established graph theory definitions and operations,

Each result is systematically derived and logically consistent.

Question 3

Why do you think your research is valid?

Answer 3

The definitions are rigorously applied,

Theorems are proved using standard graph theory techniques,

Peer-reviewed literature and foundational results support the assumptions and methodology.