Separation Dimension of Graphs and Hypergraphs

Manu Basavaraju, L. Sunil Chandran, Martin Charles Golumbic, Rogers Mathew, Deepak Rajendraprasad

Research output: Contribution to journalArticlepeer-review


Separation dimension of a hypergraph H, denoted by π( H) , is the smallest natural number k so that the vertices of H can be embedded in Rk such that any two disjoint edges of H can be separated by a hyperplane normal to one of the axes. We show that the separation dimension of a hypergraph H is equal to the boxicity of the line graph of H. This connection helps us in borrowing results and techniques from the extensive literature on boxicity to study the concept of separation dimension. In this paper, we study the separation dimension of hypergraphs and graphs.

Original languageEnglish
Pages (from-to)187-204
Number of pages18
Issue number1
StatePublished - 1 May 2016

Bibliographical note

Publisher Copyright:
© 2015, Springer Science+Business Media New York.


  • Acyclic chromatic number
  • Boxicity
  • Line graph
  • Scrambling permutation
  • Separation dimension

ASJC Scopus subject areas

  • General Computer Science
  • Computer Science Applications
  • Applied Mathematics


Dive into the research topics of 'Separation Dimension of Graphs and Hypergraphs'. Together they form a unique fingerprint.

Cite this