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Webwhere p1 is the probability that a set V of randomly chosen G1 vertices of the graph G induces a complete graph and the graph G\V is isomorphic to G2∪ · · · ∪Gk, and pi,i >1, is the probability that a set V of randomly chosen G1 vertices ofHiinduces a complete graph and the graphHi\V is isomorphic WebLi Derning etal. 3-CONNECTED LOOPLESSMULTIGRAPH 371 graphH. (kj,k2,2) is the subgraph of H induced by the edgesincident with u and v. Let a graph G be formed from H by splitting v into vl and v2. hamish mcalpine celtic

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