Ramanujan signing of regular graphs

Yonatan Bilu*, Nathan Linial

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


An approach to find an elementary construction of Ramanujan graphs was discussed. The constructions were based on deep results concerning certain number-theoretic conjectures by Ramanujan. Therefore, such graphs are called Ramanujan. It was found that every graph G of maximal degree d has a signing s with spectral radius.

Original languageAmerican English
Pages (from-to)911-912
Number of pages2
JournalCombinatorics Probability and Computing
Issue number6
StatePublished - Nov 2004


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