Abstract Let G be a molecular graph. The edge eccentric connectivity index of G , ξ e c ( G ) , is defined as ξ e c ( G ) = ∑ f ∈ E ( G ) deg ( f ) . e c c ( f ) , where deg ( f ) denotes the degree of edge f and e c c ( f ) is the largest distance between f and any other edge g of G . The modified edge eccentric connectivity index of G , Λ e c ( G ) , is defined as Λ e c ( G ) = ∑ f ∈ E ( G ) S ( f ) . e c c ( f ) , where S ( f ) denotes the sum of the degrees of edges neighborhoods of edge f . In this paper, exact formulas for the edge eccentric connectivity index and modified edge eccentric connectivity index of linear benzenoid chains and double hexagonal chains were computed.

中文翻译：

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关于线性苯链和双六边形链的边偏心和修正边偏心连通性指数

摘要 令 G 为分子图。G的边偏心连通性指数ξ ec (G) 定义为ξ ec ( G ) = ∑ f ∈ E ( G ) deg ( f ) 。ecc ( f ) ，其中 deg ( f ) 表示边 f 的度数， ecc ( f ) 是 f 与 G 的任何其他边 g 之间的最大距离。G 的修正边偏心连通性指数Λ ec (G) 定义为Λ ec ( G ) = ∑ f ∈ E ( G ) S ( f ) 。ecc ( f ) ，其中 S ( f ) 表示边 f 的边邻域度数之和。本文计算了线性苯链和双六边形链的边缘偏心连通性指数和修正的边缘偏心连通性指数的精确公式。