13 citations · 21 across the 9 of their papers we have counts for
8 papers · 1 filter
Pirates and Treasure
Fraser Stewart
In this paper we introduce a new game; in this game there are two players who play as rival pirate gangs. The goal is to gather more treasure than your rival. The game is played on…
Escape and Evasion on Finite Graphs
Fraser Stewart
In this paper we will be introducing a type of game which as far as this author is aware has never been studied before. These are games where there are two players, one who is tryi…
Misere Hackenbush is NP-Hard
Fraser Stewart
Hackenbush is a two player game, played on a graph with coloured edges where players take it in turns to remove edges of their own colour. It has been shown that under normal play…
Scoring Play Combinatorial Games Under Different Operators
Fraser Stewart
Scoring play games were first studied by Fraser Stewart for his PhD thesis. He showed that under the disjunctive sum, scoring play games are partially ordered, but do not have the…
Scoring Play Combinatorial Games
Fraser Stewart
This thesis will be discussing scoring play combinatorial games and looking at the general structure of these games under different operators. I will also be looking at the Sprague…
Mathematical Go: Revisited
Fraser Stewart
In this paper we will look at the book Mathematical Go by Elwyn Berlekamp and David Wolfe \cite{MG}, and argue that the definitions and theories that they use are not the correct o…
Impartial Scoring Play Games
Fraser Stewart
In this paper we will be examining impartial scoring play games. We first give the basic definitions for what impartial scoring play games are and look at their general structure u…
Scoring Play Combinatorial Games
Fraser Stewart
In this paper we will discuss scoring play games. We will give the basic definitions for scoring play games, and show that they form a well defined set, with clear and distinct out…