7 citations · 7 across the 5 of their papers we have counts for
6 papers
On sums of -free forms under misère play
Alfie Davies, Sarah Miller, Rebecca Milley
Milley and Renault proved an interesting characterisation of invertible elements in the dead-ending universe: they are the games with no subpositions of outcome (the…
Extremal Cat Herding
Rylo Ashmore, Danny Dyer, Rebecca Milley
The game of Cat Herding is one in which cat and herder players alternate turns, with the evasive cat moving along non-trivial paths between vertices, and the herder deleting single…
Cuts, Cats, and Complete Graphs
Rylo Ashmore, Danny Dyer, Trent Marbach +1
We introduce the game of Cat Herding, where an omnipresent herder slowly cuts down a graph until an evasive cat player has nowhere to go. The number of cuts made is the score of a…
Indecomposable combinatorial games
Michael Fisher, Neil A. McKay, Rebecca Milley +2
In Combinatorial Game Theory, short game forms are defined recursively over all the positions the two players are allowed to move to. A form is decomposable if it can be expressed…
Progress on misère dead ends: game comparison, canonical form, and conjugate inverses
Urban Larsson, Rebecca Milley, Richard Nowakowski +2
This paper addresses several significant gaps in the theory of restricted misère play (Plambeck, Siegel 2008), primarily in the well-studied universe of dead-ending games, $\mathca…
Dead Ends in Misere Play: The Misere Monoid of Canonical Numbers
Rebecca Milley, Gabriel Renault
We find the misere monoids of normal-play canonical-form integer and non-integer numbers. These come as consequences of more general results for the universe of `dead-ending' games…