Harmonic Index and Harmonic Polynomial on Graph Operations

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on the harmonic index of graph operations

‎the harmonic index of a connected graph $g$‎, ‎denoted by $h(g)$‎, ‎is‎ ‎defined as $h(g)=sum_{uvin e(g)}frac{2}{d_u+d_v}$‎ ‎where $d_v$ is the degree of a vertex $v$ in g‎. ‎in this paper‎, ‎expressions for the harary indices of the‎ ‎join‎, ‎corona product‎, ‎cartesian product‎, ‎composition and symmetric difference of graphs are‎ ‎derived‎.

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ژورنال

عنوان ژورنال: Symmetry

سال: 2018

ISSN: 2073-8994

DOI: 10.3390/sym10100456