AMPLIFIED ECCENTRIC CONNECTIVITY INDEX OF GRAPHS

AMPLIFIED ECCENTRIC CONNECTIVITY INDEX OF GRAPHS

V. Mathad, Sujatha H. N. Puneeth S.

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Abstract

A new distance based graphical index, coined as ampli ed eccentric connec- tivity index, has been established and the formulae to calculate the ampli ed eccentric connectivity index of some standard graphs, Dutch windmill graph and molecular graph of cycloalkenes has been computed. Also, in the case of boiling points of primary and secondary amines, the study shows that the ampli ed eccentric connectivity index gives a greater correlation of 98%, when compared to the Wiener and Eccentric connectivity indices.

Keywords

Graphical index, Distance, Ampli ed eccentric connectivity index, Dutch wind- mill graph, Molecular graph, Cycloalkenes.