The k onigsberg bridge problem

Reference no: EM131121792

Consider the K¨onigsberg bridge problem (cf. Fig. 10.6).

(a) Suppose that there existed a second bridge connecting the islands B and C, and also another bridge connecting the land areas A and D. Construct an Euler cycle that crosses each of the bridges exactly once.

(b) Suppose the bridge connecting the islands B and C has collapsed. Construct an Euler path, i.e., a path (not necessarily a cycle) that passes through each arc of the graph exactly once.

Reference no: EM131121792

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