In the application of graph theory to problems arising in network design, the requirements of the network can be expressed in terms of restrictions on the values of certain graph parameters such as connectivity, edge-connectivity, diameter, and independence number. In this paper, we focus on network
Characterizations of adjacency on the branching polyhedron
โ Scribed by Rick Giles; Dirk Hausmann
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 805 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
Given two distinct branchings of a directed graph G, we present several conditions which are equivalent to the corresporiding incidence vectors of the branchings being adjacent on the branching polyhedron of 6. The proof of these equivalences uses a "shrinking algorithm'* whi_h will determine in O(n') time and space whether or not the incidence vectors are adjacent.
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