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July 16th, 2016, 02:20 PM
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VTU Graph Theory Notes
Would you please give here notes / syllabus for Graph Theory and Combinatory course of BTECH CS 4 Sem. Course of Visvesvaraya Technological University (VTU) ? As you requires I am here giving you notes / syllabus for Graph Theory and Combinatory course of BTECH CS 4 Sem. Course of Visvesvaraya Technological University (VTU). BTECH CS 4 Sem. Course Notes / Syllabus: Unit-1 Introduction to Graph Theory Definitions and Examples, Subgraphs, Complements, and Graph Isomorphism, Vertex Degree, Euler Trails and Circuits Unit-2 Introduction to Graph Theory contd Planar Graphs, Hamilton Paths and Cycles, Graph Colouring, and Chromatic Polynomials Unit-3 Trees Definitions, Properties, and Examples, Routed Trees, Trees and Sorting, Weighted Trees and Prefix Codes Unit-4 Optimization and Matching Dijkstra’s Shortest Path Algorithm, Minimal Spanning Trees – The algorithms of Kruskal and Prim, Transport Networks – Max-flow, Min-cut Theorem, Matching Theory Part B Unit-5 Fundamental Principles of Counting The Rules of Sum and Product, Permutations, Combinations – The Binomial Theorem, Combinations with Repetition, The Catalon Numbers Unit-6 The Principle of Inclusion and Exclusion The Principle of Inclusion and Exclusion, Generalizations of the Principle, Derangements – Nothing is in its Right Place, Rook Polynomials Unit-7 Generating Functions Introductory Examples, Definition and Examples – Calculational Techniques, Partitions of Integers, the Exponential Generating Function, the Summation Operator Unit-8 Recurrence Relations First Order Linear Recurrence Relation, The Second Order Linear Homogeneous Recurrence Relation with Constant Coefficients, The Non-homogeneous Recurrence Relation, The Method of Generating Functions Address: Visvesvaraya Technological University Karnataka Jnana Sangama, VTU Main Road, Machhe Belagavi, Karnataka 590018 Last edited by Neelurk; May 5th, 2020 at 10:22 AM. |
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