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Browsing Mathematics / Matematik by Author "TR24823"
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Applications of graph coloring
Ufuktepe, Ünal; Bacak, Gökşen (Springer, 2005)A graph G is a mathematical structure consisting of two sets V(G) (vertices of G) and E(G) (edges of G). Proper coloring of a graph is an assignment of colors either to the vertices of the graphs, or to the edges, in such ... 
Applying Mathematica and webMathematica to graph coloring
Ufuktepe, Ünal; Bacak, Gökşen (Elsevier, 200706)This paper analyzes some graph issues by using the symbolic program Mathematica and its version for the Web, webMathematica. In particular, we consider the problem of graph coloring: the assignment of colors to the ... 
Basic calculus on time scale with mathematica
Yantır, Ahmet; Ufuktepe, Ünal (Springer, 2003)Mathematical modeling of time dependent systems are always interesting for applied mathematicians. First continuous and then discrete mathematical modeling are built during the mathematical development from ancient to the ... 
Graph coloring with webMathematica
Ufuktepe, Ünal; Bacak, Gökşen; Beşeri Sevim, Tina (Springer, 2004)Coloring of a graph is an assignment of colors either to the edges of the graph G, or to vertices, or to maps in such a way that adjacent edges/vertices/maps are colored differently. We consider the problem of coloring ... 
Inequalities for buckling of a clamped plate
Ufuktepe, Ünal; Mchale, K. P. (TARU Publications, 2002)We study the eigenvalue problems for the buckling of a clamped plate. The previous upper bound on low eigenvalues due to Payne, Pólya, and Weinberger, and Rile and Yeh are reviewed. Using methods similar to those used in ... 
Inequalities for the vibrating clamped plate problem
Mchale, K. P.; Ufuktepe, Ünal (TÜBİTAK, 2001)We study the eigenvalues of the vibrating clamped plate problem. We have made improvements on the bounds of the ratios of the eigenvalues of the biharmonic operator (clamped plate) using the methods of Payne, Polya, and ... 
Mathematica applications on time scales
Yantır, Ahmet; Ufuktepe, Ünal (Springer, 2005)Stefan Hilger introduced the calculus on time scales in order to unify continuous and discrete analysis in 1988. The study of dynamic equations is an active area of research since time scales unifies both discrete and ...