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Published by uLektz
Course Code | : | ULZ0399 |
Author | : | uLektz |
University | : | General for All University |
Regulation | : | 2017 |
Categories | : | Computer Science |
Format | : | ![]() |
Type | : | eBook |
FREE
Buy NowDescription :Graph Theory And Combinatorics of ULZ0399 covers the latest syllabus prescribed by General for All University for regulation 2017. Author: uLektz, Published by uLektz Learning Solutions Private Limited.
Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.
1.1 Definitions and Examples
1.2 Subgraphs, Complements and Graph Isomorphism
1.3 Vertex Degree, Euler Trails and Circuits.
2.1 Planar Graphs
2.2 Hamilton Paths and Cycles
2.3 Graph Colouring and Chromatic Polynomials.
3.1 Definitions, Properties and Examples, Rooted Trees, Trees and Sorting, Weighted Trees and Prefix Codes
4.1 Optimization and Matching: Dijkstra’s Shortest Path Algorithm
4.2 Minimal Spanning Trees, The algorithms of Kruskal and Prim, Transport Networks
4.3 Max-flow, Min-cut Theorem, Matching Theory.
5.1 Fundamental Principles of Counting: The Rules of Sum and Product, Permutations, Combinations
5.2 The Binomial Theorem, Combinations with Repetition, The Catalon Numbers
6.1 The Principle of Inclusion and Exclusion, Generalizations of the Principle
6.2 Derangements – Nothing is in its Right Place, Rook Polynomials.
7.1 Introductory Examples, Definition and Examples
7.2 Calculational Techniques, Partitions of Integers, The Exponential Generating Function, The Summation Operator.
8.1 Recurrence Relations: First Order Linear Recurrence Relation, The Second Order Linear Homogeneous Recurrence Relation with Constant Coefficients, The Non-homogeneous Recurrence Relation
8.2 The Method of Generating Functions.
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