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- W1519355983 abstract "The aim of this article is to make a link between the congruential systems investigated by Conway and the infinite graphs theory. We compare the graphs of congruential systems with a well known family of infinite graphs: the regular graphs of finite degree considered by Muller and Shupp, and by Courcelle. We first consider congruential systems as word rewriting systems to extract some subfamilies of congruential systems, the q-p-congruential systems, representing the regular graphs of finite degree. We then prove the non-regularity of the Collatz's graph." @default.
- W1519355983 created "2016-06-24" @default.
- W1519355983 creator A5029181942 @default.
- W1519355983 date "2000-01-01" @default.
- W1519355983 modified "2023-09-27" @default.
- W1519355983 title "Regularity of Congruential Graphs" @default.
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- W1519355983 doi "https://doi.org/10.1007/3-540-44612-5_63" @default.
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