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NOC:Advanced Graph Theory
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NOC:Advanced Graph Theory
by Dr Rajiv Misra

In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called links or lines). A distinction is made between undirected graphs, where edges link two vertice...

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level All Level
level English
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Program Fee
FREE
About This Course

In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called links or lines). A distinction is made between undirected graphs, where edges link two vertice...

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Course Curriculum
8 Sections | 22 Lecture | 17h 49min total length
Expand all sections
NOC:Advanced Graph Theory

Week 01

| 01h 53min total length
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    Paths, Cycles, and Trails

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    Eulerian Circuits, Vertex Degrees and Counting

    37m <?php echo $alt; ?>
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    Graph Theory: Introduction

    37m <?php echo $alt; ?>
NOC:Advanced Graph Theory

Week 02

| 02h 20min total length
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    Spanning Trees and Enumeration

    46m <?php echo $alt; ?>
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    Trees and Distance

    46m <?php echo $alt; ?>
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    The Chinese Postman Problem and Graphic Sequences

    46m <?php echo $alt; ?>
NOC:Advanced Graph Theory

Week 03

| 02h 58min total length
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    Matchings and Covers

    1h 72 min <?php echo $alt; ?>
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    Independent Sets, Covers and Maximum Bipartite Matching

    1h 72 min <?php echo $alt; ?>
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    Weighted Bipartite Matching

    32m <?php echo $alt; ?>
NOC:Advanced Graph Theory

Week 04

| 52min 00sec total length
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    Factors & Perfect Matching in General Graphs

    26m <?php echo $alt; ?>
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    Stable Matchings and Faster Bipartite Matching

    26m <?php echo $alt; ?>
NOC:Advanced Graph Theory

Week 05

| 03h 04min total length
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    Connectivity and Paths: Cuts and Connectivity

    1h 61 min <?php echo $alt; ?>
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    k-Connected Graphs

    1h 61 min <?php echo $alt; ?>
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    Network Flow Problems

    1h 61 min <?php echo $alt; ?>
NOC:Advanced Graph Theory

Week 06

| 02h 12min total length
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    Vertex Coloring and Upper Bounds

    44m <?php echo $alt; ?>
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    Brook Theorem and Color-Critical Graphs

    44m <?php echo $alt; ?>
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    Counting Proper Colorings

    44m <?php echo $alt; ?>
NOC:Advanced Graph Theory

Week 07

| 56min 56sec total length
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    Planar Graphs

    28m <?php echo $alt; ?>
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    Characterization of Planar Graphs

    28m <?php echo $alt; ?>
NOC:Advanced Graph Theory

Week 08

| 03h 30min total length
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    Line Graphs and Edge-coloring

    1h 80 min <?php echo $alt; ?>
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    Hamiltonian Graph, Traveling Salesman Problem and NP-Completeness

    1h 80 min <?php echo $alt; ?>
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    Connected Dominating Set and Distributed Algorithm

    50m <?php echo $alt; ?>
show 5 more sections
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