Skip to main content
    • Aa
    • Aa

On the Edge-Expansion of Graphs

  • NOGA ALON (a1)
    • Published online: 01 June 1997

It is shown that if n>n0(d) then any d-regular graph G=(V, E) on n vertices contains a set of u=[lfloor ]n/2[rfloor ] vertices which is joined by at most (d/2−cd)u edges to the rest of the graph, where c>0 is some absolute constant. This is tight, up to the value of c.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Combinatorics, Probability and Computing
  • ISSN: 0963-5483
  • EISSN: 1469-2163
  • URL: /core/journals/combinatorics-probability-and-computing
Please enter your name
Please enter a valid email address
Who would you like to send this to? *