Degree conditions for vertex switching reconstruction
β Scribed by I. Krasikov
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 185 KB
- Volume
- 160
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A graph is called \(s\)-vertex switching reconstructible ( \(s\)-VSR) if it is uniquely defined, up to isomorphism by the multiset of unlabeled graphs obtained by switching of all its \(s\)-vertex subsets. Stanley proved that a graph with \(n\) vertices is \(s\)-VSR if the Krawtchouk polynomial \(P_
In this note we use eigenvalues of folded cubes to simplify an analogue of Kelly's Lemma for vertex-switching reconstruction due to Krasikov and Roditty. Our new version states that the number of subgraphs (or induced subgraphs) of an n-vertex graph G isomorphic to a given m-vertex graph can be foun
## Abstract A graph is called __sβvertex switching reconstructible__ (__s__βVSR) if it is uniquely defined, up to isomorphism, by the multiset of unlabeled graphs obtained by switching of all its __s__βvertex subsets. We show that a graph with __n__ vertices is __n__/2βVSR if __n__ = 0(mod 4), (__n
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.