LIM is not slim
- Published in 2013
- Added on
In the collections
In this paper LIM, a recently proposed impartial combinatorial ruleset, is analyzed. A formula to describe the $G$-values of LIM positions is given, by way of analyzing an equivalent combinatorial ruleset LIM’, closely related to the classical nim. Also, an enumeration of $P$-positions of LIM with $n$ stones, and its relation to the Ulam-Warburton cellular automaton, is presented.
Links
Other information
- issn
- 0020-7276
- journal
- International Journal of Game Theory
- number
- 2
- pages
- 269--281
- volume
- 43
BibTeX entry
@article{Fink2013, title = {LIM is not slim}, author = {Fink, Alex and Fraenkel, Aviezri S. and Santos, Carlos}, url = {http://link.springer.com/10.1007/s00182-013-0380-z}, urldate = {2014-06-11}, abstract = {In this paper LIM, a recently proposed impartial combinatorial ruleset, is analyzed. A formula to describe the {\$}G{\$}-values of LIM positions is given, by way of analyzing an equivalent combinatorial ruleset LIM’, closely related to the classical nim. Also, an enumeration of {\$}P{\$}-positions of LIM with {\$}n{\$} stones, and its relation to the Ulam-Warburton cellular automaton, is presented.}, comment = {}, issn = {0020-7276}, journal = {International Journal of Game Theory}, month = {may}, number = 2, pages = {269--281}, volume = 43, year = 2013, collections = {Attention-grabbing titles,Combinatorics} }