Let T(G) be the tree graph of a graph G with cycle rank r. Then K ( T ( G ) ) 3 m ( G ) -r, where K(T(G)) and m(G) denote the connectivity of T ( G ) and the length of a minimum cycle basis for G, respectively. Moreover, the lower bound of m ( G ) -r is best possible.
On restricted connectivities of permutation graphs
✍ Scribed by C. Balbuena; X. Marcote; P. García-Vázquez
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 124 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0028-3045
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