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Enumeration of regular graphs 100 years ago. (English) Zbl 0759.05052
From the author’s abstract: Already in 1891 certain configurations were enumerated by the Dutch mathematician J. de Vries. These configurations correspond to small 3-regular and 4-regular graphs. In the same year the paper of Petersen on the theory of regular graphs was published. The work of J. de Vries is described below. The enumeration of 3-regular graphs with 10 vertices of 1966 is described; this was applied in chemistry and has been known as the first enumeration of these graphs until now. Some other examples of early results about configurations are mentioned, which were rediscovered much later in combinatorics.
MSC:
05C30Enumeration in graph theory