论文标题
在距离光谱和基于距离的拓扑指数上，三个图的中央顶点边缘连接
On the distance spectrum and distance-based topological indices of central vertex-edge join of three graphs
论文作者
论文摘要
拓扑指数是描述化合物的性质的分子描述。这些拓扑指数将特定的物理化学特性（例如沸点，蒸发的焓，应变能和化合物的稳定性）相关联。 This article introduces a new graph operation based on central graph called central vertex-edge join and provides its results related to graph invariants like eccentric-connectivity index, connective eccentricity index, total-eccentricity index, average eccentricity index, Zagreb eccentricity indices, eccentric geometric-arithmetic index, eccentric atom-bond connectivity index, and Wiener index.另外，我们讨论了三个常规图的中央顶点边缘连接的距离频谱。此外，我们获得了$ d $ equienergetic图的新家庭，这些图形是非$ d $ cosectral。
Topological indices are molecular descriptors that describe the properties of chemical compounds. These topological indices correlate specific physico-chemical properties like boiling point, enthalpy of vaporization, strain energy, and stability of chemical compounds. This article introduces a new graph operation based on central graph called central vertex-edge join and provides its results related to graph invariants like eccentric-connectivity index, connective eccentricity index, total-eccentricity index, average eccentricity index, Zagreb eccentricity indices, eccentric geometric-arithmetic index, eccentric atom-bond connectivity index, and Wiener index. Also, we discuss the distance spectrum of the central vertex-edge join of three regular graphs. Furthermore, we obtain new families of $D$-equienergetic graphs, which are non $D$-cospectral.
