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Further Properties of Trees with Minimal Atom-Bond Connectivity Index

Jianping Liu, Jinsong Chen
2014 Abstract and Applied Analysis  
LetG=(V,E)be a graph the atom-bond connectivity (ABC) index is defined as the sum of weights((du+dv-2)/dudv)1/2over all edgesuvofG, wheredudenotes the degree of a vertexuofG. In this paper, we determined a few structural features of the trees with minimal ABC index also we characterized the trees withdia[T]=2and minimal ABC index, where[T]is induced by the vertices of degree greater than 2 inTanddia[T]is the diameter of[T].
doi:10.1155/2014/609208 fatcat:gvwfbo4h4rfqnkguxcglco3ela