Amplified eccentric connectivity energy of a graph

Ajithkumara; PUTTASWAMY; Puneeth S

doi:10.5269/bspm.78011

Ajithkumara Vidyavardhaka College of Engineering, Mysuru
PUTTASWAMY Department of Mathematics, P E S College of Engineering, Mandya, India.
Puneeth S Department of Mathematics, Vidyavardhaka College of Engineering, Mysuru, India.

Résumé

In this paper, we introduce and formalize the concept of amplified eccentric–connectivity energy (AECE), a novel spectral graph invariant that combines both local and global structural properties through a degree–eccentricity weighted adjacency matrix, termed the amplified eccentric–connectivity matrix. We investigate the spectral properties of this matrix and exact analytical expressions for AECE are derived for key graph classes.

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