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This course is an introduction to the Advanced Discrete Mathematics (ADM). The primary objective of the course is to develop the basic understanding of graph theory, recurrence relations, Boolean algebra, algebraic structures, mathematical logic. SPC provide the coaching of Advanced Discrete Mathematics in jaipur. Our coaching program will gives you in-depth knowledge and offers you full learning and understanding of the topics in a highly interactive manner.

### Advanced DISCRETE MATHEMATICS COACHING SYLLABUS

1 - The Recurrence Relations and Generating Functions

Recurrence relations and Solving recurrences

Linear homogeneous recurrences relations

Linear non-homogenous recurrences relations

Method of telescoping sums and product

Method of iteration

Recurrence relations

Define More recurrences

Divide and conquer method

Generating functions

Exponential generating functions

Combinatorial identities method

Linear equations

Partitions method

Method of substitution

2 - Graphs

Explain Graphs

The Regular graphs

Sub-graphs

Explain Connected graphs

Explain Complete graph

Explain Paths, Circuits and cycles

Components

Connectivity

Bipartite graphs

Trees

Eulerian graphs

Fleury’s algorithm

Explain Hamiltonian graphs

Travelling salesperson problem

Graphs coloring

Planar graphs

Vertex colorings

Definition and examples

Bounds for chromatic numbers

Planar graphs

Coloring problem, edge and vertex coloring

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