Independence number of a graph | Independence Set | GATECSE | Graph Theory

independence number of a graph || independence number || independent set in graph theory || independent set of graph || How do you find the independence number of a graph || independence number of a graph examples || independence number of a complete graph || independence number of a bipartite graph || independence number graph theory || Independent Vertex Sets || Maximal Independent Vertex Sets || Maximum Independent Vertex Sets
The independence number of a graph is the largest possible set of vertices that are not adjacent. To find this number, one must understand the graph's structure, select an appropriate algorithm, implement it, find the independence number, verify the set, optimize the algorithm for better performance, handle special cases, and test it with different input graphs. Various algorithms and techniques exist, including brute force, greedy algorithms, and more sophisticated approaches like maximal independent set and coloring algorithms. The choice of algorithm depends on the graph's characteristics and desired computation efficiency.
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[@adiraj4491]

00:01 Understanding independent set and its definition
01:35 Independent set contains non-adjacent vertices
04:57 Calculating the independence number of a graph
07:29 Understanding the concept of maximal independent set
10:50 Understanding the size and uniqueness of the maximum independence set
12:45 Calculating Independence number of a graph
14:41 The independence number of a graph is the floor value of N / 2
17:16 Independent number of a graph is critical for determining the chromatic number.
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[@khanshebaz9925]

Very nice explanation Sir. Your Channel is very underrated. I have been following your videos for the last two months. You give a very brief explanation about the topics and it is covered in depth-both conceptually and from exam point of view. Thank you Sir 😌

[@vanshshah7781]

Thank you sir.

[@shemabalam7979]

best of best

[@paulimmanuel3285]

The independence number of the first graph is 5 with {a,d,c,f,g}.

[@Nihanth-tl4tv]

Asalam alaikum warahmatullah hi Barakat hu, sir

[@THEGATEHUB]

Walekum assalam..for further communication you can contact me at Instagram or linked in