Research · Luke Collins

My areas of interest in mathematical research are L-oqsma ta’ interess tiegħi fir-riċerka matematika huma Mes domaines d’intérêt en recherche mathématique sont combinatorics, l-kombinatorika, l’analyse combinatoire, graph theory it-teorija tal-grafi la théorie des graphes and u et number theory. t-teorija tan-numri. la théorie des nombres.

Publications Pubblikazzjonijiet Publications

Two non-isomorphic graphs that share the same canonical double cover — Two graphs having the same canonical double cover Żewġ grafi bl-istess canonical double cover Deux graphes ayant le même double recouvrement canonique

The Walks and CDCs of Graphs with the Same Main Eigenspace Luke Collins & Irene Sciriha Discussiones Mathematicae Graph Theory, 43(2) (2023)
DOI Journal
The Ternary Goldbach Conjecture Luke Collins Master’s Dissertation in Mathematics, University of Warwick (2020)
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On Walks and Canonical Double Coverings of Graphs with the Same Main Eigenspace Luke Collins Undergraduate Dissertation in Mathematics, University of Malta (2019)
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Synthesising Safety Runtime Enforcement Monitors for μHML Luke Collins Undergraduate Dissertation in Computer Science, University of Malta (2019)
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Two-graphs and NSSDs: An Algebraic Approach Luke Collins & Irene Sciriha Discrete Applied Mathematics, 266 (2018), 92–102
DOI Journal

Walks and CDCs Mixjiet u CDCs Marches et CDC

As an undergraduate, I did some research related to walks and an operation called the canonical double cover (CDC) of a graph. You can read more about this research Bħala student l-università, għamilt xi riċerka dwar il-mixjiet u operazzjoni msejħa l-“canonical double cover” (CDC) ta’ graf. Tista’ taqra aktar dwar din ir-riċerka En tant qu’étudiant de premier cycle, j’ai mené des recherches sur les marches et une opération appelée le double recouvrement canonique (CDC) d’un graphe. Vous pouvez en lire davantage here hawnhekk ici . (bl-Ingliż). (en anglais).