An algorithm for finding a feasible solution of graph labeling problems [electronic resource]

, Article Utilitas Mathematica Publishing Incorporated ; 2007, Vol. 72, pp. 163-174 Eshghi, K. (Kourosh) ; Azimi, Parham ; Sharif University Of Technology

Abstract

Graceful labeling is one of the best known labeling methods of graphs. Despite the large number of papers published on the subject of graph labeling, there are few particular techniques to be used by researchers to gracefully label graphs. In this paper, first a new approach based on the mathematical programming technique is presented to model the graceful labeling problem. Then a “branching method” is developed to solve the problem for special classes of graphs. Computational results show the efficiency of the proposed algorithm for different classes of graphs. One of the interesting results of our model is in the class of trees. The largest tree known to be graceful has at most 27 vertices...

Applications of mathematical programming in graceful labeling of graphs [electronic resource]

, Article Journal of Applied Mathematics (Published by Hindawi) ; Vol. 10, No. 10, pp. 1-8 Eshghi, K. (Kourosh) ; Azimi, Parham ; Sharif University of Technology

Abstract

Graceful labeling is one of the best known labeling methods of graphs. Despite the large number of papers published on the subject of graph labeling, there are few particular techniques to be used by researchers to gracefully label graphs. In this paper, first a new approach based on the mathematical programming technique is presented to model the graceful labeling problem. Then a “branching method” is developed to solve the problem for special classes of graphs. Computational results show the efficiency of the proposed algorithm for different classes of graphs. One of the interesting results of our model is in the class of trees. The largest tree known to be graceful has at most 27 vertices...

Numerical Analysis of FRP Strengthened Beam with Lingitudinal Grooves

, M.Sc. Thesis Sharif University of Technology Samea, Parham (Author) ; Mostofinejad, Davood (Supervisor)

Abstract

Strengthening and rehabilitation of concrete structures significantly became a dynamic construction field of activity through the years. Strengthening concrete structures by means of fiber reinforced polymers (FRP) plates or sheets over the tensile face of flexural members is stated to be an effective rehabilitation technique. Numerous studies have been carried out over the years, taking into account the FRP strengthening methods. In this regards, premature failures induced as a result of composite plate de-bonding is of great importance in such members.
In a reinforced concrete beam de-bonding may be induced by a major flexural crack in the mid-span.
Loading of a FRP strengthened...

Displacement potentials for functionally graded piezoelectric solids

, Article Applied Mathematical Modelling ; Volume 52 , 2017 , Pages 458-469 ; 0307904X (ISSN) Samea, P ; Eskandari, M ; Ahmadi, S. F ; Sharif University of Technology

2017

Abstract

Two new displacement potential functions are introduced for the general solution of a three-dimensional piezoelasticity problem for functionally graded transversely isotropic piezoelectric solids. The material properties vary continuously along the axis of symmetry of the medium. The four coupled equilibrium equations in terms of displacements and electric potential are reduced to two decoupled sixth- and second-order linear partial differential equations for the potential functions. The obtained results are verified with two limiting cases: (i) a functionally graded transversely isotropic medium, and (ii) a homogeneous transversely isotropic piezoelectric solid. The simplified relations...