Considering the path-integral approach to the Brownian motion of a particle in a double-well potential, the joint probability for a possible trajectory (path) is a positive deenite functional of the path. In the practically important low temperature or low friction regime, the probability functional is found to comprise dominant contributions from the stationary paths. The corresponding dynamic...

• Discrete-time deterministic graph algorithm modelling the spread of social contagion. Tight bounds on burning numbers double spiders and path forests. Well-burnability forests with sufficiently long paths. Progress towards a conjecture stronger than number conjecture. The can be used to measure spreading speed contagion in network. is arguably main unresolved related this parameter, which set...

multi-criteria shortest path problems (mspp) are called as np-hard. for mspps, a unique solution for optimizing all the criteria simultaneously will rarely exist in reality. algorithmic and approximation schemes are available to solve these problems; however, the complexity of these approaches often prohibits their implementation on real-world applications. this paper describes the development ...

Recently, the author has proposed a generalization of the matrix and vector models approach to the theory of random surfaces and polymers. The idea is to replace the simple matrix or vector (path) integrals by gauge theory or non-linear σ model (path) integrals. We explain how this solves one of the most fundamental limitation of the classic approach: we automatically obtain non-perturbative de...

A cycle double cover (CDC) of an undirected graph is a collection of the graph’s cycles such that every edge of the graph belongs to exactly two cycles. We describe a constructive method for generating all the cubic graphs that have a 6-CDC (a CDC in which every cycle has length 6). As an application of the method, we prove that all such graphs have a Hamiltonian cycle. A sense of direction is ...

Harmonious occlusion is a critical requirement for successful oral rehabilitation. Conventional techniques of construction have been unsuccessful in producing a prosthesis that can be inserted without intraoral occlusal adjustment. This article discusses the use of functionally generated path technique with double casting to fabricate fixed partial dentures. The merits of this approach and the ...