Graph Theory - Study24x7
Social learning Network

Warning: include(./views/auth.php): failed to open stream: Permission denied in /var/www/html/live/loginRightSlider.php on line 18

Warning: include(): Failed opening './views/auth.php' for inclusion (include_path='.:/usr/share/php') in /var/www/html/live/loginRightSlider.php on line 18
Graph Theory
broucher Course Brochure
Graph Theory
by Dr. L. Sunil Chandran

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 l...

0.0  (0 Ratings) 1120 Learner
validy img Validity Unlimited
level All Level
level English
cover Img Preview not available
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 l...

Show more
Warning: count(): Parameter must be an array or an object that implements Countable in /var/www/html/live/courseDetail.php on line 5432
Course Curriculum
7 Sections | 39 Lecture | 37h 19min total length
Expand all sections
Graph Theory

Covering Problems

| 07h 43min total length
  • <?php echo $alt; ?>

    Introduction: Vertex cover and independent set

    56m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Matchings: Konigs theorem and Halls theorem

    58m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    More on Halls theorem and some applications

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Tuttes theorem on existence of a perfect matching

    58m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    More on Tuttes theorem

    58m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    More on Matchings

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Dominating set, path cover

    58m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Gallai : Millgram theorem, Dilworths theorem

    57m <?php echo $alt; ?>
Graph Theory

Connectivity

| 02h 49min total length
  • <?php echo $alt; ?>

    Connectivity: 2-connected and 3- connected graphs

    58m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Mengers theorem

    56m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    More on connectivity: k- linkedness

    55m <?php echo $alt; ?>
Graph Theory

Coloring

| 09h 26min total length
  • <?php echo $alt; ?>

    Vertex coloring: Brooks theorem

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    More on vertex coloring

    55m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Edge coloring: Vizing's theorem

    56m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Proof of Vizings theorem, Introduction to planarity

    56m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    5- coloring planar graphs, Kuratowskys theorem

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Proof of Kuratowskys theorem, List coloring

    56m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    List chromatic index

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Adjacency polynomial of a graph and combinatorial Nullstellensatz

    56m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Chromatic polynomial, k - critical graphs

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Gallai-Roy theorem, Acyclic coloring, Hadwigers conjecture

    54m <?php echo $alt; ?>
Graph Theory

Special Classes of Graphes

| 07h 40min total length
  • <?php echo $alt; ?>

    Perfect graphs: Examples

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Interval graphs, chordal graphs

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Proof of weak perfect graph theorem (WPGT)

    56m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Second proof of WPGT, Some non-perfect graph classes

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    More special classes of graphs

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Boxicity,Sphericity, Hamiltonian circuits

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    More on Hamiltonicity: Chvatals theorem

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Chvatals theorem, toughness, Hamiltonicity and 4-color conjecture

    59m <?php echo $alt; ?>
Graph Theory

Network Flows

| 03h 51min total length
  • <?php echo $alt; ?>

    Network flows: Max flow mincut theorem

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    More on network flows: Circulations

    58m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Circulations and tensions

    58m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    More on circulations and tensions, flow number and Tuttes flow conjectures

    56m <?php echo $alt; ?>
Graph Theory

Random graphs and Probabilistics method

| 03h 52min total length
  • <?php echo $alt; ?>

    Random graphs and probabilistic method: Preliminaries

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Probabilistic method: Markovs inequality, Ramsey number

    57m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Probabilistic method: Graphs of high girth and high chromatic number

    58m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    Probabilistic method: Second moment method, Lovasz local lemma

    58m <?php echo $alt; ?>
Graph Theory

Graph Minors

| 01h 56min total length
  • <?php echo $alt; ?>

    Graph minors and Hadwigers conjecture

    58m <?php echo $alt; ?>
  • <?php echo $alt; ?>

    More on graph minors, tree decompositions

    58m <?php echo $alt; ?>
show 4 more sections
More Courses by Dr. L. Sunil Chandran

Combinatorics

by Dr. L. Sunil Chandran
0.0 (0)

0 Enrollments

Validity Unlimited

Free