Recurrence for the k-dimensional hyperbeet
Write down a recurrence for the k-dimensional hyperbeet numbers hn,k. Does it remind you of anything?
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For each of following degree sequences, price that the simple graph with 7 vertices exists or doesn't exist by either drawing such a graph or showing mathematically that such a graph is impossible:
A cycle is defined to be a circuit with no repeated vertex. If a cycle has a length k, we talk of a k-cycle. Find out the number of 4-cycles in K(sub)m, n where m >= 2 and n >= 2.
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A function f is defined on the set of real numbers. Determine whether or not f is one-to-one and justify your answer.
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