On a probabilistic graph-theoretical method

Graph colouring via the probabilistic method

A graph-theoretical clustering method based on two rounds of minimum spanning trees

Article history: Received 22 January 2009 Received in revised form 19 July 2009 Accepted 24 July 2009

Connectivity condition for structural properties using a graph theoretical approach: Probabilistic reliability assessment

In a structured system graphically represented, the satisfaction of structural properties depends on graphical conditions. Among these conditions, we choose to study one of the most commonly used conditions, the so-called connectivity condition. The validity of this condition depends on the validity of some edges in the system graphical representation. The corresponding edges reflect the operat...

Notes on Probabilistic Method

A Probabilistic Three-Phase Time Domain Electric Arc Furnace Model based on analytical method

An electric arc furnace (EAF) is known as nonlinear and time variant load that causes power quality (PQ) problems such as, current, voltage and current harmonics, voltage flicker, frequency changes in power system. One of the most important problems to study the EAF behavior is the choice of a suitable model for this load. Hence, in this paper, a probabilistic three-phase model is proposed base...