B.Sc. III year all topics

B.Sc. III year

Semester - VI - (Paper-XII) [ Graph Theory ]

Unit - 1 ( Introduction to Graphs )

Click here 👉 1)  All definitions of graph theory paper.

Click here 👉 2)  Handshaking lemma Theorem.

Click here 👉 3) Draw all simple graphs of one, two three and four vertices.

Click here 👉 4) Draw the graph of the following chemical compound.

                            (1) CH₄     (2) C₂H₆      (3) C₆H₁₂     (4) N₂O₃ 

Click here 👉 5) Draw the graph of the Wheatstone bridge circuit. 

Click here👉 6) Konigsberg Bridge Problem

Click here👇 7) 

Click here👇

(8)   Prove that a simple graph having n vertices and k components can have

       atmost (n-1)(n-k+1)/2 edges.

Click here👇 

·       Operation on Graphs

(1) Union

(2) Intersection

(3) Ring Sum

Click here👇 

    

Click here👇

 (10) A connected graph G is anEuler graph iff it can be decomposed into circuit .    

               
  Click here👇
 (11)Prove that any two simple connected graph with ‘n’ vertices all of

          degree two are isomorphic.

 Click here👇

  (12)  Aconnected graph G is an Euler graph iff every vertex of ‘G’ is of even degree.

========================================================================

Unit -5   :- Matrix Representation of Graph

 

            Click here👉  1)  INCIDENCE  MATRIX

Semester -VI - (Paper-XI) [Introductory Linear Algebra]

Unit - 4 (Inner Product Space)

    Click here 👉 1) Theorem:-Cauchy Schwarz inequality


Click here 👇

Click here 👇

Click here 👇

Click here 👇

(5)  Using Gram-Schmidt orthogonalisation process, orthonormalise the LI subset

      { (1,1,1), (0,1,1) , (0,0,1) } of  V3

Note:-

                   

If you are seeing it on mobile then please Enable Desktop site For better experience...

To Enable desktop site...

1) tap on the 3 dots located in the top right corner of your screen.
2) tap on " Desktop site".