Γράφοι και Εφαρμογές αυτών

• Κύριοι συγγραφείς: Γεωργίου, Δημήτριος, Αντωνίου, Ευστάθιος, Georgiou, Dimitrios, Antoniou, Efstathios
• Μορφή: 7
• Γλώσσα: Greek
• Έκδοση: 2015
• Θέματα: Δέντρα και αναζήτηση; Γραφήματα Eulerian; Κυκλώματα Hamiltonian; Εκτεινόμενα δέντρα; Επίπεδα γραφήματα; Χρωματισμός γραφημάτων; Δίκτυα; Διάδοση σφαλμάτων; Trees and Searching; Eulerian Graphs; Hamiltonian Circuits; Spanning Trees; Planar Graphs; Graph Coloring; Networks; Error Propagation

The need to represent related concepts led to the development of the mathematical entity that it is called a graph. With the help of graphs, complex visualization is achieved of physical states that are dependent on a multitude of concepts and require a significant number logical procedures. If the concepts are depicted in points of space and those two are connected points depicting related concepts, a graph results. It should be noted that the use of the term "graph" could be confusing, as it is also used to represent continuums functions in the Cartesian (or other) coordinate system. But a more careful study of the definition, which listed below, shows the relevance of these representations in continuous and discrete spaces. It is therefore another imprint of logical processes and concepts, an imprint which constituted the basis for the development of a yet distinct mathematical theory. With the development of the science of computer and web engineering, writers proved to be especially important aids to the solving complex problems. There are at least two reasons here: First because they contribute to the development of computer systems, as they are used for circuit design, the analysis of complex systems, in order to develop codes, the designing networks and optimizing the operation of routers (Routers). Also, because offer significant help in dealing with complex measurement problems involving the computing time. Graphs are also used to solve management decision problems in Business Research and Supply Chain Management. The complexity of these problems requires the use of computer systems. In the Graph Theory section a brief foundation of the theory is presented to give particular emphasis on algorithms for solving well-known minimization, organization, and design problems circuits. The aim of the way of presenting the theory of Scriptures and its applications is the familiarizing the user with the utility of graphs for solving network problems. In unit including Bayesian networks, Fuzzy Cognitive (or Cognitive) Representations as well as Petri nets with examples of network management.