Search Results - "Bonato, Anthony"
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1
Dominating biological networks
Published in PloS one (26-08-2011)“…Proteins are essential macromolecules of life that carry out most cellular processes. Since proteins aggregate to perform function, and since protein-protein…”
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Dimensionality of social networks using motifs and eigenvalues
Published in PloS one (04-09-2014)“…We consider the dimensionality of social networks, and develop experiments aimed at predicting that dimension. We find that a social network model with nodes…”
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Geometric random graphs and Rado sets of continuous functions
Published in Discrete analysis (07-04-2021)“…Geometric random graphs and Rado sets of continuous functions, Discrete Analysis 2021:3, 21 pp. For several reasons, random graphs play a central role in the…”
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4
Queer inclusion equals better mathematics
Published in Nature (London) (22-09-2022)“…Being open about being gay allows me to reach my full intellectual potential. Being open about being gay allows me to reach my full intellectual potential…”
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Toppling numbers of complete and random graphs
Published in Discrete mathematics and theoretical computer science (18-11-2014)“…Graph Theory We study a two-person game played on graphs based on the widely studied chip-firing game. Players Max and Min alternately place chips on the…”
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Emmy’s Time: A short story by
Published in The Mathematical intelligencer (01-06-2018)Get full text
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The localization game on oriented graphs
Published in Discrete Applied Mathematics (30-10-2023)“…In the Localization game played on graphs, a set of cops uses distance probes to identify the location of an invisible robber. We present an extension of the…”
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Burning a graph is hard
Published in Discrete Applied Mathematics (11-12-2017)“…Graph burning is a model for the spread of social contagion. The burning number is a graph parameter associated with graph burning that measures the speed of…”
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How to Burn a Graph
Published in Internet mathematics (03-03-2016)“…We introduce a new graph parameter called the burning number, inspired by contact processes on graphs such as graph bootstrap percolation, and graph searching…”
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Burning the Plane: Densities of the Infinite Cartesian Grid
Published in Graphs and combinatorics (01-09-2020)“…Graph burning is a discrete-time process on graphs, where vertices are sequentially burned, and burned vertices cause their neighbours to burn over time. We…”
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Bounds on the localization number
Published in Journal of graph theory (01-08-2020)“…We consider the localization game played on graphs, wherein a set of cops attempt to determine the exact location of an invisible robber by exploiting distance…”
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The one-visibility localization game
Published in Theoretical computer science (02-11-2023)“…We introduce a variant of the Localization game in which the cops only have visibility one, along with the corresponding optimization parameter, the…”
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Cops and Robbers on Graphs Based on Designs
Published in Journal of combinatorial designs (01-09-2013)“…We investigate the cop number of graphs based on combinatorial designs. Incidence graphs, point graphs, and block intersection graphs are studied, with an…”
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14
The iterated local transitivity model for hypergraphs
Published in Discrete Applied Mathematics (15-10-2023)“…Complex networks are pervasive in the real world, capturing dyadic interactions between pairs of vertices, and a large corpus has emerged on their mining and…”
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15
Algorithms for p-Faulty Search on a Half-Line
Published in Algorithmica (01-08-2023)“…We study p - Faulty Search , a variant of the classic cow-path optimization problem, where a unit speed robot searches the half-line (or 1-ray) for a hidden…”
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The localization capture time of a graph
Published in Theoretical computer science (08-04-2022)“…The localization game is a pursuit-evasion game analogous to Cops and Robbers, where the robber is invisible and the cops send distance probes in an attempt to…”
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Infinite limits and folding
Published in Discrete Mathematics and Theoretical Computer Science (01-01-2005)“…We study infinite limits of graphs generated by the duplication model for biological networks. We prove that with probability 1, the sole nontrivial connected…”
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Journal Article Conference Proceeding -
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The frustum network model based on clique extension
Published in Journal of combinatorial optimization (01-07-2024)“…The frustum model simulates network evolution by extending cliques, which represent highly interacting groups in social networks. In each time-step, new…”
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Improved Bounds for Burning Fence Graphs
Published in Graphs and combinatorics (2021)“…Graph burning studies how fast a contagion, modeled as a set of fires, spreads in a graph. The burning process takes place in synchronous, discrete rounds. In…”
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Burning the Plane
Published in Graphs and combinatorics (01-01-2020)“…Graph burning is a discrete-time process on graphs, where vertices are sequentially burned, and burned vertices cause their neighbours to burn over time. We…”
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