Unformatted text preview: . Show there is a labeling of the vertices of G such that the adjacency matrix of G has the form A ( G ) = ± A ( G 1 ) A ( G 2 ) ² . (6) An m-fold path , mP n , is formed from P n by replacing each edge with a multiple edge of multiplicity m . An m-fold cycle , mC n , is formed from C n by replacing each edge with a multiple edge of multiplicity m . (a) Find τ ( mP n ) (b) Find τ ( mC n ) (7) Find τ ( K 2 , 3 ). (8) Use the Matrix-Tree Formula to compute τ ( K 3 ,n )....
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- Spring '11
- Graph Theory, Planar graph, CN, disjoint connected graphs