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using the principles of inclusion exclusion, find the number of solutions of the equation u1+u2+u3+u4+u5=10, where ui<4,
i = 1,...,5
solve for y=3x+1
if a graph with n vertices is regular of degree v, is its complement regular and if so what degree?
how many edges does Wn have?
What is the number of elements in minimum vertex cover of cycle graph Cn where n=5?
a) 3
b) 2
c) 5
d) 4
Formula to determine the number of connected components of a graph G.
In a simple graph G with n vertices is isomorphic to its complement G', then which of the following can be value of n?
a) 10
b) 9
c) 11
d) 15
Number of ways of painting a regular pentagon with 5 different colours is
a) 5!
b) 12
c) 1
d) 4!
The complete bipartite graph Km,n has vertex covering number X and edge covering number Y. X and Y are respectively
a) max(m,n), min(m,n)
b) min(m,n), min(m,n)
c) m+n,mn
d) min(m,n),max(m,n)
The complete graph k6 has how many different Hamiltonian circuits?
a) 6
b) 720
c) 120
d) 60
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