Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Abrosimov M. B., Dolgov A. A. About Reconstruction of Small Tournaments. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, vol. 9, iss. 2, pp. 94-98. DOI: 10.18500/1816-9791-2009-9-2-94-98

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About Reconstruction of Small Tournaments

Abrosimov Mikhail Borisovich, Saratov State University
Dolgov Aleksandr Alekseevich, Saratov State University

A tournament of order n is a complete graph of n nodes with each arc assigned a unique direction. The reconstruction conjecture in graph theory says that graphs are determined uniquely by their subgraphs. This conjecture was proved to be false when P. K. Stockmeyer discovered several infinite families of counterexample pairs of digraphs (including tournaments). In this paper we observe known results about reconstruction of tournaments and present our approach to study reconstruction of all tournaments with up to 12 vertexes.

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