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This data set collects all 4-regular Ramanujan graphs with at most 16 vertices grouped by their rigidity properties: Rigid Non-rigid Globally rigid Rigid but not globally rigid All files are in Graph6 data format. If a file for a given order does not exist, there are no graphs with that order and the respective property.
This work was supported by National Science Foundation (NSF) grants DMS-1600768, CIF-1815922 JSPS Invitational Fellowship for Research in Japan S19016 Austrian Science Fund (FWF) P31888 Simons Foundation 522728
globally rigid graph, Ramanujan graph, rigidity, rigid graph, global rigidity
globally rigid graph, Ramanujan graph, rigidity, rigid graph, global rigidity
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
| views | 8 |

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