ON THE GRAPH EDIT DISTANCE COST: PROPERTIES AND APPLICATIONS
✍ Scribed by SOLÉ-RIBALTA, ALBERT; SERRATOSA, FRANCESC; SANFELIU, ALBERTO
- Book ID
- 119995477
- Publisher
- World Scientific Publishing Company
- Year
- 2012
- Tongue
- English
- Weight
- 496 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0218-0014
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## Abstract An edge‐operation on a graph __G__ is defined to be either the deletion of an existing edge or the addition of a nonexisting edge. Given a family of graphs $\cal G$, the editing distance from __G__ to $\cal G$ is the smallest number of edge‐operations needed to modify __G__ into a graph
The average n-distance of a connected graph G, p,,(G), is the average of the Steiner distances of all n-sets of vertices of G. In this paper, we give bounds on pn for two-connected graphs and for k-chromatic graphs. Moreover, we show that pn(G) does not depend on the n-diameter of G.