Optimal K-secure graphs |
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Authors: | G. Gunther B.L. Hartnell |
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Affiliation: | Department of Mathematics, Sir Wilfred Grenfell College, Memorial University of Newfoundland, Corner Brook, Newfoundland A2H 6P9, Canada |
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Abstract: | We wish to design a resistance movement in such a way that k subversions and the resulting betrayals do not totally destroy our network. Such graphs will be called k-secure. Subject to this restriction we determine which graphs minimize the expected number of betrayals. |
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