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An algorithm for finding a feasible solution of graph labeling problems [electronic resource]
, Article Utilitas Mathematica Publishing Incorporated ; 2007, Vol. 72, pp. 163-174 ; 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 ; 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...
Buckling Behavior of Spiral Steel Folded Silos
, M.Sc. Thesis Sharif University of Technology ; Moazezi Mehretehran, Alireza (Supervisor)
Abstract
Cylindrical steel silos are widely used in industry for the storage of granular materials. These structures are generally classified into three main construction types: flat sheet silos, corrugated sheet silos and spiral steel (Lipp) silos. Most previous studies focus on flat and corrugated sheet silos and there is a lack of information about the buckling behavior of Lipp silos. This study investigates the axial buckling behavior of two full-scale spiral silo specimens, considering axial compressive forces using 3D finite element modeling in Abaqus. The geometrical properties of the silos are as follows: Silo-I has a height of 20 m, a diameter of 15 m, and a wall thickness of 0.015 m, while...