Eccentric connectivity index in transformation graph Gxy+
Makaleler > Tam Makale · 2023
Yazarlar: Aysun AYTAÇ, Belgin Vatansever
Acta Universitatis Sapientiae, Informatica, Uluslararası, 2023, cilt 15, ss 111-123
Özet
Abstract Let G be a connected graph with vertex set V(G)and edge set E(G). The eccentric connectivity index of G is defined as ∑ ν ∈ V ( G ) ec ( ν ) deg ( ν ) \sum\limits_{\nu\in{\rm{V}}\left({\rm{G}}\right)}{{\rm{ec}}\left(\nu\right)\,{\rm{deg}}\left(\nu\right)} where ec(v) the eccentricity of a vertex v and deg(v)is its degree and denoted by ɛc(G). In this paper, we investigate the eccentric connectivity index of the transformation graph Gxy+.