Report Number: CS-TR-93-1499
Institution: Stanford University, Department of Computer Science
Title: The Sandwich Theorem
Author: Knuth, Donald E.
Date: January 1994
Abstract: This report contains expository notes about a function
vartheta(G) that is popularly known as the Lovasz number of a
graph G. There are many ways to define vartheta(G), and the
surprising variety of different characterizations indicates
in itself that vartheta(G) should be interesting. But the
most interesting property of vartheta(G) is probably the fact
that it can be computed efficiently, although it lies
"sandwiched" between other classic graph numbers whose
computation is NP-hard. I have tried to make these notes
self-contained so that they might serve as an elementary
introduction to the growing literature on Lovasz's
fascinating function.
http://i.stanford.edu/pub/cstr/reports/cs/tr/93/1499/CS-TR-93-1499.pdf