K4,4 is non-planar
K4,4 refers to the complete bipartite graph with four vertices in each partition, resulting in ___ ______ _____ ____ ______ ______ _________ ___ ________ _____ ______.
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If the solution of the recurrence relation is
, then determine the values of α,β and
If a graph is isomorphic to its complement, then it has odd number of vertices.
Draw the Ferrar graph of the following partitions:
i) 20 = 9+6+3+2
ii) 28 = 10+9+8+1
Also, write down the conjugate partitions of each of these partitions.
If 5 points are chosen in a square of side 2cm, show that there will always be two points at a distance of at most √ 2cm
Write down the converse of each of the following statements:
i) If p is a prime number and a and b are any two natural numbers and if p divides a or b, then p divides ab
ii) In a triangle . then
Find the general form of the solution to a linear homogeneous recurrence relation with constant coefficients for which the characteristic roots are 1,−2 and 3 with multiplicities 2,1 and 2, respectively. The relation also has a non-homogeneous part which is a linear combination of 3n and (−2) n
Consider the propositions ‘2+3 = 5’ and ’The Sun rises in the West’.
i) Write the disjunction of the statements and give its truth value.
ii) Write the conjunction of the statements and give its truth value.
iii) Write the exclusive disjunction of the statements and give its truth value.