Date of Submission
Computer Science; Mathematics
Project Advisor 1
Project Advisor 2
This senior thesis attempts to determine the extent to which the P/NP dichotomy of finite algebras (as proven by Bulatov, et.al in 2017) can be cast in terms of connectedness in Cayley graphs. This research is motivated by Prof. Robert McGrail's work ``CSPs and Connectedness: P/NP-Complete Dichotomy for Idempotent, Right Quasigroups" published in 2014 in which he demonstrates the strong correspondence between tractability and total path-connectivity in Cayley graphs for right, idempotent quasigroups. In particular, we will introduce the notion of total V-connectedness and show how it could be potentially used to phrase the dichotomy in terms of connectivity for another class of algebras, namely for Quay algebras.
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Nguyen, Thuy Trang, "Connectedness in Cayley Graphs and P/NP Dichotomy for Quay Algebras" (2020). Senior Projects Spring 2020. 305.
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