The optimal ordering of nodes of an oriented tree
β Scribed by M. A. Sheidvasser
- Publisher
- Springer US
- Year
- 1974
- Tongue
- English
- Weight
- 519 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1573-8337
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π SIMILAR VOLUMES
Let Qn.k,, be the number of all n-node ordered trees with r nodes of maximum level k and let B,,\*,, be the number of all r-tuply rooted ordered trees with n nodes and height less than or equal to k. In this paper we derive the identitity where n, k, r > 0. An explicit expression for Qn,k,r and its
There are 2"-t ways in which a tree on n vertices can be oriented. Each of these can be regarded as the (Hasse) diagram of a partially ordered set. The maximal and minimal widths of these posets are determined. The maximal width depends on the bipartition of the tree as a bipartite graph and it can