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The maximum edit distance from hereditary graph properties

✍ Scribed by Noga Alon; Uri Stav


Book ID
108167440
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
285 KB
Volume
98
Category
Article
ISSN
0095-8956

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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

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Given a property P of graphs, write P n for the set of graphs with vertex set [n] having property P. The growth or speed of a property P can be discussed in terms of the values of |P n |. For properties with |P n | <n n hereditary properties are surprisingly well determined by their speeds. Sharpeni