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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Main Authors: | Sotirov, R., Klerk, Etienne de., Newman, M. W., Pasechnik, Dmitrii V. |
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Other Authors: | School of Physical and Mathematical Sciences |
Format: | Article |
Language: | English |
Published: |
2012
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Subjects: | |
Online Access: | https://hdl.handle.net/10356/94538 http://hdl.handle.net/10220/7516 |
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Institution: | Nanyang Technological University |
Language: | English |
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