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Consider the digraph G with three vertices P1,P2 and P3 and four directed edges, one each from P1 to P2, P1 to P3, P2 to P3 and P3 to P1.
a. Sketch the digraph.
b. Find the adjacency matrix M of G.
c. Use the adjacency formula for inverses to find g(z)=(I - zM)-1.
d. Expand the (1,3) entry of g(z) as a power series up to terms of order 6.
e. Find the number of walks of length 6 from P1 to P3.
Phong Shading Phong shading too is based on interpolation, but instead of interpolating the colour value, it is the normal vector, which is interpolated for each point and a co
null(nil) = true // nil refer for empty tree null(fork(e, T, T'))= false // e : element , T and T are two sub tree leaf(fork(e, nil, nil)) = true leaf(
What is an algorithm? What are the characteristics of a good algorithm? An algorithm is "a step-by-step process for accomplishing some task'' An algorithm can be given in many
It offers an effective way to organize data while there is a requirement to access individual records directly. To access a record directly (or random access) a relationship is
i:=1 while(i { x:=x+1; i:=i+1; }
What is an unreachable code assertion An unreachable code assertion can be placed at the default case; if it's every executed, then program is in an erroneous state. A loop in
The advantage of list over Arrays is flexibility. Over flood is not a problem until the computer memory is bushed. When the individual record are quite large, it may be difficult t
The most common way to insert nodes to a general tree is to first discover the desired parent of the node you desire to insert, and then insert the node to the parent's child list.
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