On equicut graphs
The size sz(Γ) of an ℓ1-graph Γ = (V, E) is the minimum of nf/tf over all the possible ℓ1-embeddings f into nf -dimensional hypercube with scale tf. The sum of distances between all the pairs of vertices of Γ is at most sz(Γ)⌈v/2⌉⌊v/2⌋ (v = |V |). The latter is an equality if and only if Γ is equicu...
Saved in:
Main Authors: | Deza, Michel., Pasechnik, Dmitrii V. |
---|---|
Other Authors: | School of Physical and Mathematical Sciences |
Format: | Article |
Language: | English |
Published: |
2011
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/92187 http://hdl.handle.net/10220/6868 http://www.site.uottawa.ca/~ivan/mvl.html |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
Similar Items
-
On some locally 3-transposition graphs
by: Pasechnik, Dmitrii V.
Published: (2011) -
The isometries of the cut, metric and hypermetric cones
by: Deza, Antoine., et al.
Published: (2011) -
A note on the stability number of an orthogonality graph
by: Klerk, Etienne de., et al.
Published: (2011) -
Computing the Betti numbers of semi-algebraic sets defined by partly quadratic systems of polynomials
by: Basu, Saugata, et al.
Published: (2009) -
Extended F4-buildings and the baby monster
by: Ivanov, A. A., et al.
Published: (2011)