Research

Submitted Papers

[2] P. Danziger, M. A. Huggan, R. Malik, T. G. Marbach, Tic-Tac-Toe on Designs.

[1] N.E. Clarke, D. Cox, M.A. Huggan, S. Huntemann, T. Marbach, Time-Delayed Cops and Robbers.

Published or Accepted Papers

[22] M.A. Huggan, M.E. Messinger, A. Porter, The damage number of the Cartesian product of graphs, to appear in Australasian Journal of Combinatorics. (2024)

[21]  M. A. Huggan, R. J. Nowakowski. Cheating Robot Games, to appear in the International Journal of Game Theory.

[20] S. D. Andres, F. Dross, M. A. Huggan, F. Mc Inerney, R. J. Nowakowski. The Complexity of two Colouring Games, to appear in Algorithmica.

[19] N. C. Behague, A. Bonato, M. A. Huggan, R. Malik, T. G. Marbach. The iterated local transitivity model for hypergraphs, Discrete Applied Mathematics, to appear, (2022).

[18]  N. C. Behague, A. Bonato, M. A. Huggan, T. G. Marbach, B. Pittman, The localization capture time of a graph,  Theoretical Computer Science, 911 (2022), 80-91.

[17] A. Bonato, M. A. Huggan, T. Marbach, The Localization Number and Metric Dimension of Graphs of Diameter 2, Contributions to Discrete Mathematics, to appear, (2021). 

[16] P. Danziger, M. A. Huggan, R. Malik, T. G. Marbach, Tic-Tac-Toe on an Affine Plane of order 4, Australasian Journal of Combinatorics, 82(1) (2022), pp. 21-30.

[15] M.  A. Huggan, S. Huntemann, B. Stevens, The combinatorial game NOFIL played on Steiner triple systems, Journal of Combinatorial Designs, to appear, (2021). 

[14] A. Bonato, M. A. Huggan, R. J. Nowakowski, The game of Flipping Coins, Integers, 21B (2021), #A1.

[13] M. A. Huggan, C. Tennenhouse, Genetically Modified Games, Integers, 21B (2021), #A13.

[12] A. Carvalho, M. A. Huggan, R. J. Nowakowski, C. P.  dos Santos,  A Note on Numbers, Integers, 21B (2021), #A4.

[11] A. Carvalho, M. A. Huggan, R. J. Nowakowski, C. P. dos Santos, Ordinal Sums, Clockwise Hackenbush, and Domino Shave, Integers, 21B (2021), #A5.

[10] A. Bonato,  M. A. Huggan, T. Marbach, F. Mc Inerney.  The Game of Cops and Eternal Robbers. Theoretical Computer Science,  874 (2021), pp. 80-93.

[9] M. A. Huggan, R. J. Nowakowski, Cops and an Insightful Robber, Discrete Applied Mathematics  295 (2021), pp. 112-119. 

[8] A. Bonato, M. A. Huggan, T. G. Marbach. The Localization Number of Designs. Journal of Combinatorial Designs (2021),  29 (3), pp.175-192.

[7] A. Bonato, D. W. Cranston, M. A. Huggan, T. Marbach, R. Mutharasan (2020) The Iterated Local Directed Transitivity Model for Social Networks. In: Kaminski B., Pralat P., Szufel P. (eds) Algorithms and Models for the Web Graph. WAW 2020. Lecture notes in Computer Science, vol 12091. Springer, Cham.

[6] S. D. Andres, M. Huggan, F. Mc Inerney, R. J. Nowakowski. The Orthogonal Colouring Game. Theoretical Computer Science (2019), 795, pp. 312-325.

[5] K. Burke, S. Heubach, M. Huggan, S. Huntemann. Keeping your distance is hard. Accepted to Games of No Chance 6. (2019). 

[4] M. Huggan, R. J. Nowakowski. Conjoined Games: Go-Cut and Sno-Go, in Urban Larsson (Ed.), Games of No Chance 5, MSRI publications. 70, pp. 395-402, Cambridge Univ. Press, 2019. 

[3] M. Huggan, R. J. Nowakowski. Thinning Thickets . Integers. 18 (2018) #G1.

[2] M. Huggan, G. L. Mullen, B. Stevens, D. Thomson. Sudoku-like arrays, codes and orthogonality. Designs, Codes and Cryptography. (2017), 82 (3), pp. 675-693.

[1] M. Huggan, B. Stevens. Polynomial time graph families for Arc Kayles . Integers. 16 (2016) #A86. 

Conference Sessions and Seminars

I am co-organizing the VIU math department seminar. Learn more about the seminar.

I am co-organizing a virtual combinatorial game theory seminar. Learn more about the seminar.

I am a steering committee member for the Graph Searching in Atlantic Canada (GSAC), AARMS Collaborative Research Group. Learn more about GSAC.

I co-organized a combinatorial game theory scientific session at the 2022 CMS summer meeting. Learn more about the conference.

I co-organized a scientific session at the 2021 CMS winter meeting. Learn more about the conference.

I co-organized a mini-course and a scientific session at the 2021 CMS summer meeting. Learn more about the conference.

From 2019-2021, I co-organized the Graphs @ Ryerson seminar. Learn more about the seminar.

Selected Talks

• Combinatorial Games on Designs, Stinson66 New Advancements in Designs, Codes and Cryptography, The Fields Institute (2022), Toronto, Canada. (Slides).

• A Partizan Deletion Game, Canadian Mathematical Society 2022 Summer Meeting, Combinatorial Game Theory Session (2022), St. John's, Canada.

• Asynchronous online foundational courses,  Canadian Mathematical Society 2022 Summer Meeting, Bridging the Gap & Supporting Students: Transition from High School to University Mathematics, Education Session (2022), St. John's, Canada.

• No Number Avoidance Here, (Virtual) Canadian Mathematical Society 2021 Winter Meeting, Combinatorial Game Theory Session (2022), Vancouver, Canada.

• The game of Flipping Coins, (Virtual) Canadian Mathematical Society 2021 Summer Meeting, Combinatorial Game Theory Session (2021), Ottawa, Canada.

• Locating an Invisible Adversary, Graph Searching, Contributed Minisymposia,  (Virtual) CanaDAM 2021.

• The Orthogonal Colouring Game,  (Virtual) Canadian Mathematical Society 2020 Winter Meeting, Graph Theory Session (2020), Montreal, Canada.

• The Cheating Robot and Insider Information, (Virtual) Atlantic Graph Theory Seminar (2020), Halifax, Canada

• Conjoined Games: Go-Cut and Sno-Go, (Virtual) Fall Mathematics Colloquium (2020), West Chester University, PA, USA

• Cops and Eternal Robbers, Canadian Mathematical Society Winter Meeting (2019), Toronto, Canada

• Cops and Robbers: An Introduction, Fall Mathematics Colloquium (2019), West Chester University, PA, USA

• The Cheating Robot, Berlekamp Memorial Workshop on Combinatorial Games (2019), Berkeley, CA, USA

• The Index: A Measure of Equality, Combinatorial Game Theory Colloquium III (2019), Lisbon, Portugal

• Moving Together, Integers Conference 2018, Augusta, GA, USA

• When players move simultaneously in a combinatorial game, Games and Graphs Workshop (2017), Lyon, France

• Constructing Generalized Sudokus, Laboratoire Bordelais de Recherche Informatique (2014), Bordeaux, France

Theses

Doctoral Thesis: Studies in Alternating and Simultaneous Combinatorial Game Theory 

Master's Thesis: Impartial Intersection Restriction Games