Some solutions to Mathematics
نویسنده
چکیده
Proof of Lemma 1.1. Let H be the sub-multigraph of G consisting only of the vertices and the edges lying on at least one of the paths u and v. Then, the multigraph H is connected, and the paths u and v are two paths in H. Hence, there exist two distinct paths from x to y in H (namely, u and v). Notice that the multigraph H has at most k + ` edges (since its edges consist of the k edges of the path u, and of the ` edges of the path v).
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