Distances between graphs under edge operations
β Scribed by Wayne Goddard; Henda C. Swart
- Book ID
- 103061405
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 585 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
We investigate three metrics on the isomorphism classes of graphs derived from elementary edge operations: the edge move, rotation and slide distances. We derive relations between the metrics, and bounds on the distance between arbitrary graphs and between arbitrary trees. We also consider the sensitivity of the metrics to various graph operations.
π SIMILAR VOLUMES
For two edge-induced subgraphs F and H of the same size in a graph G, the subgraph H can be obtained from F by an edge jump if there exist four distinct vertices u, v, w, and x in G such that uv ~ E(F), wx ~ E(G) -E(F), and H = F -uv + wx. The subgraph F is j-transformed into H ifH can be obtained f
The distance from a vertex u to a vertex v in a connected graph G is the length of a shortest u-v path in G. The distance of a vertex v of G is the sum of the distances from v to the vertices of G. For a vertex v in a 2-edge-connected graph G, we define the edge-deleted distance of v as the maximum