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- W2155011707 abstract "The well-known Rado graph R is universal in the set of all countable graphs I, since every countable graph is an induced subgraph of R. We study universality in I and, using R, show the existence of 2 @ 0 pairwise non-isomorphic graphs which are universal in I and denumerably many other universal graphs in I with prescribed attributes. Then we contrast universality for and universality in induced-hereditary properties of graphs and show that the overwhelming majority of induced-hereditary properties contain no universal graphs. This is made precise by showing that there are 2 (2 @0" @default.
- W2155011707 created "2016-06-24" @default.
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- W2155011707 date "2013-01-01" @default.
- W2155011707 modified "2023-10-03" @default.
- W2155011707 title "Universality for and in induced-hereditary graph properties" @default.
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- W2155011707 doi "https://doi.org/10.7151/dmgt.1671" @default.
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