PhD Student ● University of Victoria

I am a Ph.D. Student in the Department of Mathematics and Statistics at the University of Victoria (Victoria, British Colombia, Canada). I am currently working under the co-supervision of Dr. Gary MacGillivray and Dr. Kieka Mynhardt.

Prior to coming to the University of Victoria, I completed my M.Sc. degree in the Department of Mathematics and Statistics at the Université de Montréal (Montreal, Quebec, Canada) where I worked under the co-supervision of Dr. Geňa Hahn and Dr. Ben Seamone.

I completed my B.Sc. degree in the Department of Applied Mathematics at National Chiao Tung University (Hsinchu City, Taiwan), which is now known as National Yang Ming Chiao Tung University.

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My research interests lie in "Discrete Mathematics", particularly in the intersection of "Graph Theory", "Game Theory" and "Complexity Theory".

Many real world problems can be modelled using games played on graphs between some given sets of players. Examples of such games include (but are not limited to):

- The "Eternal Domination Game", where one player controls a set of guards who must move along the edges of a graph in order to respond to some sequence of attacks on the vertices of the graph.
- The "Cops and Robbers Game", where one player controls a set of cops who must move along the edges of a graph in order to capture a robber located somewhere in the graph.

These games are often used as mathematical models for problems that occur on complex networks such as the spread of infectious diseases, computer viruses, misinformation as well as various types of network security or surveillance problems.

I am a member of the Discrete Mathematics group in the Department of Mathematics and Statistics at the University of Victoria.

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Here is a list of my publications (starting with the most recent in each section).

Preprints | |||
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# | Paper | Preprint | Publication |

1 | A Study of Cops and Robbers in Oriented Graphs (with F. Devvrit, N. Komarov, A. Krim-Yee, N. Kumar, B. Seamone and A. Xu). | arXiv |

Journal Papers | |||
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# | Paper | Preprint | Publication |

1 | Fractional Eternal Domination: Securely Distributing Resources across a Network (with F. Devvrit, A. Krim-Yee, N. Kumar, G. MacGillivray, B. Seamone and A. Xu). Discussiones Mathematicae Graph Theory. | arXiv | |

2 | Eternal Domination and Clique Covering (with G. MacGillivray and C. M. Mynhardt). Electronic Journal of Graph Theory and Applications. | arXiv | EJGTA |

3 | A Method for Eternally Dominating Strong Grids (with A. Gagnon, A. Hassler, J. Huang, A. Krim-Yee, F. McInerney, A. Zacarías and B. Seamone). Discrete Mathematics and Theoretical Computer Science (DMTCS). | arXiv | DMTCS |

4 | Eternal Domination on Prisms of Graphs (with A. Krim-Yee and B. Seamone). Discrete Applied Mathematics. | arXiv | DAM |

Theses | |||
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# | Title | Year | Publication |

1 | Mobile Guards' Strategies for Graph Surveillance and Protection, Doctoral Dissertation, University of Victoria | 2023 | |

2 | Domination éternelle dans les graphes, Master's Thesis, Université de Montréal | 2018 | Papyrus |

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Here are some useful links for those interested in mathematics and its applications:

If you are interested in discussing research ideas, collaboration opportunities, or any mathematically fascinating topics, feel free to reach out through the provided contact details below.