A variational method to study the Zakharov equation.
Interpolation by natural cubic spline.
Oscillation criteria for first-order systems of linear difference equations.
Near reflections
Approximation algorithms for the traveling salesman problem with range condition
Oscillation of forced nonlinear neutral delay difference equations of first order
Necessary and sufficient conditions are obtained for every solution of to oscillate or tend to zero as , where , and are sequences of real numbers such that . Different ranges for are considered.
On oscillatory fourth order nonlinear neutral differential equations. II.
On oscillatory fourth order nonlinear neutral differential equations. I.
On oscillatory first order neutral impulsive difference equations
We have established sufficient conditions for oscillation of a class of first order neutral impulsive difference equations with deviating arguments and fixed moments of impulsive effect.
Approximation Algorithms for the Traveling Salesman Problem with Range Condition
We prove that the Christofides algorithm gives a approximation ratio for the special case of traveling salesman problem (TSP) in which the maximum weight in the given graph is at most twice the minimum weight for the graphs. A graph is if the number of odd degree vertices in any minimum spanning tree of the given graph is less than times the number of vertices in the graph. We prove that the Christofides algorithm is more efficient (in terms of runtime) than the previous existing algorithms...
Nature–inspired metaheuristic algorithms to find near–OGR sequences for WDM channel allocation and their performance comparison
Nowadays, nature–inspired metaheuristic algorithms are most powerful optimizing algorithms for solving the NP–complete problems. This paper proposes three approaches to find near–optimal Golomb ruler sequences based on nature–inspired algorithms in a reasonable time. The optimal Golomb ruler (OGR) sequences found their application in channel–allocation method that allows suppression of the crosstalk due to four–wave mixing in optical wavelength division multiplexing systems. The simulation results...
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