Browsing University of Waterloo by Subject "random graph theory"
Now showing items 1-3 of 3
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k-Connectedness and k-Factors in the Semi-Random Graph Process
(University of Waterloo, 2022-12-20)The semi-random graph process is a single-player graph game where the player is initially presented an edgeless graph with n vertices. In each round, the player is offered a vertex u uniformly at random and subsequently ... -
Sieve Methods in Random Graph Theory
(Springer, 2023-04-03)In this paper, we apply the Turán sieve and the simple sieve developed by R. Murty and the first author to study problems in random graph theory. In particular, we obtain upper and lower bounds on the probability of a ... -
Uniform Generation of Graphical Realizations of Joint Degree Matrices
(University of Waterloo, 2023-09-21)In this thesis, we introduce JDM_GEN, an algorithm designed to uniformly generate graphical realizations of a given joint degree matrix. Amanatidis and Kleer previously employed an MCMC-based method to address this ...