Altundag F.N.Bacak-Turan G.2024-07-222024-07-22201601290541http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15673The vulnerability shows the endurance of the network until the communication collapse after the breakdown of certain stations or communication links. If a spy or a station is invaded in a spy network, then the adjacent stations are treacherous. A vulnerability parameter the neighbor rupture degree can be used to obtain the vulnerability of a spy network. The neighbor rupture degree of a noncomplete connected graph G is defined to be Nr(G) = max{w(G/S) - |S| - c(G/S): S SV (G),w(G/S) ≥ 1} where S is any vertex subversion strategy of G, w(G/S) is the number of connected components in G/S, and c(G/S) is the maximum order of the components of G/S. In this paper, the neighbor rupture degree of Harary graphs are obtained. © 2016 World Scientific Publishing Company.EnglishArticle10.1142/S012905411650026X