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Flow network

Let G be a mixed multi graph. Find necessary and sufficient conditions for the existence of an Euler tour in G; cf. Exercise 10.1.6. Let N = (G, b, c, s, t) be a flow network with a nonnegative lower capacity b. Describe a technique for determining a minimal feasible flow on N (that is, a feasible flow of minimum value), and discuss its complexity. Moreover, give a description for the value of such a minimal feasible flow analogous to Theorem 10.2.8. (Note that this problem is irrelevant for the ordinary flows treated in Chapter 6: trivially, the zero flow is a minimal feasible flow in that situation.)

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