By Ilya Gertsbakh, Yoseph Shpungin, Radislav Vaisman (auth.)
Ternary ability “based on three”. This publication bargains with reliability investigations of networks whose parts topic to mess ups will be in 3 states –up, down and heart (mid), opposite to routinely thought of networks having merely binary (up/down) parts. Extending binary case to ternary permits to think about extra life like and versatile versions for communique, movement and provide networks
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II) Generate the evolution trajectory by choosing on each step a component e from the set of nonborn components with probability λe /πe , where πe is the sum of λ’s for all nonborn components. If component e is born, remember its birth time τe ∀ Exp(λe ). If closure operation is used, apply it, and merge the closing components to the existing ones and cross them out from the list of non born components. After each birth, check if the trajectory has reached the UP state. If the UP state is being reached, STOP, and go to (III); otherwise continue the birth process until all non born components are exhausted.
Node is called even if the sum of its row and column numbers in the grid are even. Otherwise it is called odd. At even node in mid, the adjacent horizontal edges are erased; at odd node—vertical adjacent edges are erased. (iii) up—all edges incident to this node are initially intact. These edges, however may be erased if neighboring nodes are in down or in mid. 6 shows the rectangular grid with some nodes in down and mid. 1 Network component. A subset of nodes V0 is called a component of the network if there is at least one path from each node v ≡ V0 to each other node in V0 and no other node in V \V0 can be added to V0 while preserving this property.
1, 3, 5, 13]. g. [7, 11, 12, 14]. At the same time most modern networks do not exist and do not function in isolated mode. As noted in important paper [3], “…due to technological progress, modern systems are becoming more and more coupled together. ” For example, the financial network of banks and related financial institutions is interconnected with business network of industrial enterprizes.