Abstract
The generalizations of traditional connectivity and diagnosability, h-component connectivity and diagnosability along with h-extra connectivity and diagnosability are significant parameters to characterize invulnerability of multiprocessor systems. In this paper, we determine that h-extra connectivity of bubble sort networks Bn is κh(Bn)=(h+1)(n−1)−h(h+3)2 for 0≤h≤n2. Afterwards, we show that h-extra diagnosability of Bn under PMC model and MM⁎ model is th(Bn)=(h+1)(n−1)−h(h+3)2+h. In addition, we prove that (h+1)-component connectivity of Bn is cκh+1(Bn)=h(n−1)−h(h+1)2+1, and h-component diagnosability of Bn under PMC model and MM⁎ model is cth(Bn)=h(n−1)−h(h+1)2+1 for 1≤h≤n2.
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