Graph reliability evaluation via random <i>K</i>-out-of-<i>N</i> systems

On the Joint Reliability Importance for k-out-of-n Systems

‎In this paper‎, ‎the concept of joint reliability importance (JRI) of two or groups of components in a coherent system with independent components have been studied‎. ‎The JRI is defined as the rate at which the system reliability improves as the reliabilities‎ ‎of the two or groups of components improve‎. ‎Generally‎, ‎the sign and the value of the JRI represent the type and the‎ ‎degree of i...

An Evaluation of the Systems Reliability Using Fuzzy Lifetime Distribution

Random Graph Directed Markov Systems

We introduce and explore random conformal graph directed Markov systems governed by measure-preserving ergodic dynamical systems. We first develop the symbolic thermodynamic formalism for random finitely primitive subshifts of finite type with a countable alphabet (by establishing tightness in a narrow topology). We then construct fibrewise conformal and invariant measures along with fibrewise ...

dynamic coloring of graph

در این پایان نامه رنگ آمیزی دینامیکی یک گراف را بیان و مطالعه می کنیم. یک –kرنگ آمیزی سره ی رأسی گراف g را رنگ آمیزی دینامیکی می نامند اگر در همسایه های هر رأس v?v(g) با درجه ی حداقل 2، حداقل 2 رنگ متفاوت ظاهر شوند. کوچکترین عدد صحیح k، به طوری که g دارای –kرنگ آمیزی دینامیکی باشد را عدد رنگی دینامیکی g می نامند و آنرا با نماد ?_2 (g) نمایش می دهند. مونت گمری حدس زده است که تمام گراف های منتظم ...

Graph Model Selection via Random Walks

In this paper, we present a novel approach based on the random walk process for finding meaningful representations of a graph model. Our approach leverages the transient behavior of many short random walks with novel initialization mechanisms to generate model discriminative features. These features are able to capture a more comprehensive structural signature of the underlying graph model. The...