https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Patterns theory and geodesic automatic structure https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:10973 Wed 11 Apr 2018 13:55:17 AEST ]]> C-graph automatic groups https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:14202 Tue 24 Aug 2021 14:39:23 AEST ]]> Thompson's group F is 1-counter graph automatic https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:24783 F is automatic. With the recent extensions of the notion of an automatic group to graph automatic by Kharlampovich, Khoussainov and Miasnikov and then to -graph automatic by the authors, a compelling question is whether F is graph automatic or C-graph automatic for an appropriate language class C. The extended definitions allow the use of a symbol alphabet for the normal form language, replacing the dependence on generating set. In this paper we construct a 1-counter graph automatic structure for F based on the standard infinite normal form for group elements.]]> Sat 24 Mar 2018 07:14:06 AEDT ]]>