We prove a quantitative Russo-Seymour-Welsh (RSW) type result for random walks on two natural examples of random planar graphs: the supercritical percolation cluster in the square lattice and the ...

Existing random graph models introduce unwanted features such as multiple edges and directed cycles when randomizing directed acyclic networks. This paper proposes a new random graph model for ...

MARC NOY, VLADY RAVELOMANANA, JUANJO RUÉ, ON THE PROBABILITY OF PLANARITY OF A RANDOM GRAPH NEAR THE CRITICAL POINT, Proceedings of the American Mathematical Society, Vol. 143, No. 3 (MARCH 2015), pp.

Statistics based on a theory of random graphs have been proposed as an analytic aid to assess the randomness of a clustered structure. Probability tables for two such statistics are tabulated. Exact ...

Accurately predicting and evaluating the remaining useful life (RUL) of lithium-ion batteries (LIBs) is of great significance to develop a maintenance program for replacing batteries according to the ...