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Register a new userCalculating Characteristic Polynomial and Eigenspace of Plane Graph
حساب كثيرة حدود كاستيلين المميزة و الفضاء الذاتي في البيان المستوي
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Damascus University ورقة بحثية
Publication date
1999
fields
Mathematics
and research's language is
العربية
Authors
خالد خنيفس( باحث )
Created by
Shamra Editor
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يبين البحث طريقة حساب كثيرة حدود كاستيلين المميزة، و الأشعة الذاتية، و القيم الذاتية في البيان المستوي. استنادًا لذلك يعرض البحث بشكل بسيط و مباشر بوساطة خوارزميات و دساتير لحساب كثيرة حدود كاستيلين المميزة إذا كان G بيانًا بسيطًا مستويًا.
This paper describes the Kasteleyn characteristic polynomial and the calcution of the eigenspaces of a plane graph. Therefore, this paper presents easy explicit formulas for if G is a simple plane graph.
References used
Al–Khniafes. K., Sachs H., Graphs, linear equation, dete, and the number of perfect matching. Contemporary Methods in Graph Theory, ed. R. Bodendiek, B.I. Wissenschaftsverlag Mannheim- Wien- Zurich1990
Kasteleyn, P.W.: The static’s of dimmers on a lattice. The number of dimmer arrangements on a quadratic lattice. Physica1961
Kasteleyn, P.W.: Graph Theory and crystal physics. In: Graph theory and theoretical physics. (Ed. F. Haray). Academic Press London1967
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بحث في نظرية البيان يحتوي الفصل الاول على أساسيات ومبادئ برمجية لبرمجة خوارزميات البيان و تمثيل البيان برمجيا , و يحتوي الفصل الثاني على شرح لطرق عبور البيان باستخدام خوارزميات البحث في العرض و البحث في العمق , فيما يعرض الفصل الثالث خوارزميات أساسية
في البيان , مثل خوارزمية الترتيب الطوبولوجي و خوارزميات أقصر طريق دايكسترا Dijekstra و floyd warshall , التعامل مع الحالات التي يحتوي البيان فيها وصلات تكلفة سالبة و البيان الخالي من الدورات Acyclic .
This paper presents an interactive solution method for treating multi objective mathematical programming problems with fuzzy parameters in the objective functions and in the constraints. Theses fuzzy parameters are characterized by fuzzy numbers. For
such problems, the concept of a-Pareto optimality introduced by extending the ordinary Pareto optimality based on the a-level sets of fuzzy numbers. The proposed solution method is based on cutting planes, which are based on local trade off ratios between the objective functions as prescribed by the decision maker at each iterate generated by the method. An illustrative numerical example is given to clarity this method.
The objective of the research is to complete a theoretical and practical study related to
coastal marine works in order to calculate the amounts of silt removal from harbor basins
and entrances, and to present the methods and devices used in the pe
rformance of
topographic survey and numerical methods in the calculation and comparison of
quantities.
In the theoretical part, the factors that lead to the formation of silt deposits in the port
basins, the methods of their removal and the deepening of the navigational pathways to
enter and exit the harbors were addressed.
In the practical part, the results, methods of measurements and topographic results were
presented during the stages of investment of the port, at least two stages, at the beginning
of the investment and before the process of direct withdrawal, and then calculating the
quantities of the implemented and comparing them, to obtain maritime plans and final
quantities.
The research concluded with specific proposals on the methods of calculating the
quantities of the isolated port, the method of constructing the measured geodetic networks,
the achievement of the topographic elevation under the water surface, and the
identification of the software parts related to the various marine works and ways of
benefiting from them.
Landau,s – Silin Semi Kinetic Equation has been solved by this scientific paper.
After taking into consideration the mutual effect between quasi particles in Fermi's Plasma
under a magnetic field to get more accurate results related to coming up wi
th some
characteristics of this sphere. Like the conductivity and dielectric coefficient due to their
necessity in the plasma's characteristic study depending on Landau's parameters and
comparing them to the results of other ways for these parameters to be calculated.
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