activity
20122024
most citedScoring Play Combinatorial Games

13 citations · 21 across the 9 of their papers we have counts for

collaborators

10 papers

eess.SP2024★ 1 cited

Non-invasive Diver Respiration Rate Monitoring in Hyperbaric Lifeboat Environments using Short-Range Radar

Mikolaj Czerkawski, Fraser Stewart, Christos Ilioudis +8

The monitoring of diver health during emergency events is crucial to ensuring the safety of personnel. A non-invasive system continuously providing a measure of the respiration rat…

math.CO2013

Tame and Wild Scoring Play Games

Fraser Stewart

In this paper, we will be proving mathematically that scoring play combinatorial game theory covers all combinatorial games. That is, there is a sub-set of scoring play games that…

math.CO2012

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…

math.CO2012

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…

math.CO2012★ 3 cited

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…

math.CO2012

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…

math.CO2012★ 13 cited

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…

math.CO2012

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…

math.CO2012★ 1 cited

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…

math.CO2012★ 3 cited

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…