How many cycles are there in a wheel graph of order 5?(a) 6(b) 10(c) 25(d) 7I have been asked this question during an online interview.This interesting question is from Trees in division Trees of Discrete Mathematics

How many cycles are there in a wheel graph of order 5?(a) 6(b) 10(c) 2

1.	How many cycles are there in a wheel graph of order 5?(a) 6(b) 10(c) 25(d) 7I have been asked this question during an online interview.This interesting question is from Trees in division Trees of Discrete Mathematics
Answer» Right option is (d) 7 To explain: In a CYCLE of a graph G if we join all the vertices to the CENTRE point, then that graph is called a wheel graph. There is always a HAMILTONIAN cycle in a wheel graph and there are n^2-3n+3 CYCLES. So, for order 5 the ANSWER should be 7.

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