Eccentric connectivity polynomial of some graph operations (CROSBI ID 176033)
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Došlić, Tomislav ; Ghorbani, Modjtaba ; Hosseinzadeh, Mohammad Ali
engleski
Eccentric connectivity polynomial of some graph operations
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.
Eccentric connectivity polynomial; Eccentric connectivity index; Cartesian product; Symmetric difference; Composition of graphs; Join of graphs
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