Naslov
Eccentric connectivity polynomial of some graph operations

Autori
Došlić, Tomislav ; Ghorbani, Modjtaba ; Hosseinzadeh, Mohammad Ali

Izvornik
Utilitas mathematica (0315-3681) 84 (2011); 197-209

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Eccentric connectivity polynomial; Eccentric connectivity index; Cartesian product; Symmetric difference; Composition of graphs; Join of graphs

Sažetak
The eccentricity connectivity polynomial of a graph $G$ is defined as $\Xi (G ; x)=\displaystyle\sum_{;u\in V(G)};\delta_G(u)x^{;\varepsilon _G(u)};$, where $\varepsilon _G(u)$ is the eccentricity of the vertex $u$ and $\delta_G(u)$ its degree. In this paper the eccentric connectivity polynomial is computed for several classes of composite graphs.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA