Bipartite graph having the degree sequence
Show that there is no bipartite graph having the degree sequence ( 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4).
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For which sequence, decide whether there exists the bipartite graph with these degrees. If so, find out one. If not, discuss why.
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Use Frobenius method to solve: xy'' - y' + 2y = 0. Compute index r and recurrence relation. Calculate the first 5 terms (a0 - a4) using the recurrence relation for each solution and index r. Check each solution.
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Write down an algorithm which produces prime numbers. In other terms, the program has to eliminate composite numbers (numbers that have more than two factors).
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