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Residual closeness in networks

Physica A Statistical Mechanics and its ApplicationsPublished 19 January 2006
Chavdar Dangalchev
Citations232
SJR quartileQ2
SJR score0.67
SNIP1.08

TL;DR

A new characteristic (residual closeness) which can measure the network resistance is presented, which is more sensitive than the well-known measures of vulnerability and captures the result of actions even if they are small enough not to disconnect the graph.

Abstract

A new characteristic (residual closeness) which can measure the network resistance is presented. It evaluates closeness after removal of vertices or links, hence two types are considered—vertices and links residual closeness. This characteristic is more sensitive than the well-known measures of vulnerability—it captures the result of actions even if they are small enough not to disconnect the graph. A definition for closeness is modified so it still can be used for unconnected graphs but the calculations are easier.

Keywords

Computer ScienceMathematicsPhysics and Astronomy