Edge reconstruction and the swapping number of a graph

نویسندگان

Dalibor Froncek

Amy Hlavacek

Steven J. Rosenberg

چکیده

We define the swapping number of an arbitrary simple graph, which is related to edge reconstruction, and involves a weakening of the concept of a graph automorphism. We classify all 1-swappable trees and unicyclic graphs and prove that the expected value of the swapping number grows linearly with the order of the graph.

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