In this paper we analyze biased Maker-Breaker games and Avoider-Enforcer games, both played on the edge set of a random board G ∼ G(n, p). In Maker-Breaker games there are two players, denoted by Maker and Breaker. In each round, Maker claims one previously unclaimed edge of G and Breaker responds by claiming b previously unclaimed edges. We consider the Hamiltonicity game, the perfect matching...

We show that there is an m = 2n + o(n), such that, in the Maker-Breaker game played on Z where Maker needs to put at least m of his marks consecutively in one of n given winning directions, Breaker can force a draw using a pairing strategy. This improves the result of Kruczek and Sundberg [15] who showed that such a pairing strategy exits if m ≥ 3n. A simple argument shows that m has to be at l...

Abstract Utility engineers faced with the challenges of integrating new generation into existing power systems, clearing faults more quickly or finding an alternative to SF6 breakers will soon have a new product to meet all of their needs: a solid state current limiting circuit breaker. Electric utilities have long wished for a practical, reasonably priced, solid state circuit breaker which cou...

A new multiresolution based pattern recognition approach is proposed for fault diagnosis of distribution switchgear. The wavelet transform is used to extract the key features from the vibration spectra following circuit breaker operation. These features are then used to plot a 2-D diagram or condition map. This map displays clearly the actual condition of the circuit breaker and it can also be ...

Vacuum circuit breaker becomes more and more complicated, integrated, high-speed and intellectualized. To insure vacuum circuit breaker in its good conditions, the function of fault diagnosis gets more important than before in the process of repairing. This paper is addressed a modelbased fault detection framework for vacuum circuit breaker by trip coil analysis. At first, the electromagnetic m...

A circuit breaker may be considered an ‘active link’, used to make and break an electrical circuit under conditions of varying severity. In the event of a circuit fault the circuit breaker must respond within tens of milliseconds in order to prevent damage to connected plant and safeguard personnel. As such, a circuit breaker will remain idle for the bulk of its lifetime, only being called into...

rabbitfish is economically valuable teleost species which lives in shallow coastalwaters. two species of rabbit fish have been recognized in southern sea of iran (persiangulf) as namely siganus sutor and siganus javus. in the current study, in order toinvestigate the histology of the annular ligament of the s. javus’ eye, the prepared sectionsof the eyes of twelve healthy specimens were studied...

Rock-breaker automation and remote operation improves the safety and efficiency of mining operations. This article presents an overview of the Rocklogic rock-breaker automation system architecture that provides collision avoidance, automated parking, and remote operation functionality. The system consists of a distributed computer control system that interfaces with sensors attached to the rock...

Two new versions of the so-called Maker-Breaker Positional Games are defined by József Beck in [Combinatorica 22(2) (2002) 169–216]. He defines two players, Picker and Chooser. In each round, Picker takes a pair of elements not already selected and Chooser keeps one and returns the other to Picker. In the Picker-Chooser version Picker plays as Maker and Chooser plays as Breaker, while the roles...

We introduce and analyze the Walker-Breaker game, a variant of Maker-Breaker games where Maker is constrained to choose edges of a walk or path in a given graph G, with the goal of visiting as many vertices of the underlying graph as possible.