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Combinatorica

, Volume 37, Issue 6, pp 1039–1055 | Cite as

Distance-Preserving Subgraphs of Johnson Graphs

  • Victor ChepoiEmail author
Original Paper

Abstract

We give a characterization of distance-preserving subgraphs of Johnson graphs, i.e., of graphs which are isometrically embeddable into Johnson graphs (the Johnson graph J(m,∧) has the subsets of cardinality m of a set ∧ as the vertex-set and two such sets A,B are adjacent iff |AΔB|=2). Our characterization is similar to the characterization of D. Ž. Djoković [11] of distance-preserving subgraphs of hypercubes and provides an explicit description of the wallspace (split system) defining the embedding.

Mathematics Subject Classification (2000)

05C12 52B40 

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Copyright information

© János Bolyai Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature 2016

Authors and Affiliations

  1. 1.Laboratoire d’Informatique FondamentaleAix-Marseille Université and CNRS, Faculté des Sciences de LuminyMarseille Cedex 9France

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