On the Lovász ϑ-number of almost regular graphs with application to Erdős–Rényi graphs

On the Lovász ϑ-number of almost regular graphs with application to Erdős–Rényi graphs

We consider k-regular graphs with loops, and study the Lovász ϑ-numbers and Schrijver ϑ′-numbers of the graphs that result when the loop edges are removed. We show that the ϑ-number dominates a recent eigenvalue upper bound on the stability number due to Godsil and Newman [C.D. Godsil and M.W. Newma...

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Bibliographic Details
Main Authors: Sotirov, R., Klerk, Etienne de., Newman, M. W., Pasechnik, Dmitrii V.
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2012
Subjects:
DRNTU::Science::Mathematics
Online Access:https://hdl.handle.net/10356/94538
http://hdl.handle.net/10220/7516

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