K^th-eccentricity index of graphs
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초록
The molecular topological descriptors are the numerical in- variants of a molecular graph and are very useful for predicting their physical properties, chemical reactivity and bioactivity. A variety of such indices are studied and used in theoretical chemistry and phar- maceutical research related to drugs and also in different fields. The main classes of topological graph indices are those based on vertex de- grees, distances, and graph parameters like eccentricity. In this pa- per, we introduce kth-eccentricity index of graphs. Also we compute kth-eccentricity index of some standard graphs including some wind- mill graphs and molecular graphs of cycloalkenes. Further, we obtain lower and upper bounds for the kth-eccentricity index in terms of other topological indices.
Abstract
The molecular topological descriptors are the numerical in- variants of a molecular graph and are very useful for predicting their physical properties, chemical reactivity and bioactivity. A variety of such indices are studied and used in theoretical chemistry and phar- maceutical research related to drugs and also in different fields. The main classes of topological graph indices are those based on vertex de- grees, distances, and graph parameters like eccentricity. In this pa- per, we introduce kth-eccentricity index of graphs. Also we compute kth-eccentricity index of some standard graphs including some wind- mill graphs and molecular graphs of cycloalkenes. Further, we obtain lower and upper bounds for the kth-eccentricity index in terms of other topological indices.
참고문헌 (10)
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