On the upper bound of the diameter of interchange graphs
β Scribed by Jianguo Qian
- Book ID
- 108316288
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 308 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
denote the set of all m Γ n {0, 1}-matrices with row sum vector R and column sum vector S. Suppose A(R, S) ] ". The interchange graph G(R, S) of A(R, S) was defined by Brualdi in 1980. It is the graph with all matrices in A(R, S) as its vertices and two matrices are adjacent provided they differ by
## Abstract It is known that a planar graph on __n__ vertices has branchβwidth/treeβwidth bounded by $\alpha \sqrt {n}$. In many algorithmic applications, it is useful to have a small bound on the constant Ξ±. We give a proof of the best, so far, upper bound for the constant Ξ±. In particular, for th