Let k 23 be an integer. We show that the degree sequences of all sufficiently large graphs are determined by their k-vertex-deleted subgraphs. In particular, this is shown for all graphs on at least f(k) vertices, where f(k) IS a certain function which is asymptotic to ke.
Reconstructing graphs from their k-edge deleted subgraphs
β Scribed by C.D Godsil; I Krasikov; Y Roditty
- Book ID
- 107884251
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 166 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0095-8956
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π SIMILAR VOLUMES
Nydl, V., Finite undirected graphs which are not reconstructible from their large cardinality subgraphs, Discrete Mathematics 108 (1992) 373-377. For any integer n, and any real q, 0 < q < 1, we exhibit two nonisomorphic graphs on n > n,, vertices having the same collections of m-vertex subgraphs w
## Abstract We investigate the behavior of the function __f__ = __f(n, k, e)__ defined as the smallest integer with the following property: If in a graph on __n__ vertices, the numbers of edges in any two induced subgraphs on __k__ vertices differ by at most __e__, then the graph or its complement