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20162026
most citedGetting the Lay of the Land in Discrete Space: A Survey of Metric Dimension and its Applications

14 citations · 27 across the 28 of their papers we have counts for

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Showing 2021Show all

9 papers · 1 filter

cs.CC2021

Computational complexity of problems for deterministic presentations of sofic shifts

Justin Cai, Rafael Frongillo

Sofic shifts are symbolic dynamical systems defined by the set of bi-infinite sequences on an edge-labeled directed graph, called a presentation. We study the computational complex…

cs.GT2021★ 2 cited

Agreement Implies Accuracy for Substitutable Signals

Rafael Frongillo, Eric Neyman, Bo Waggoner

Inspired by Aumann's agreement theorem, Scott Aaronson studied the amount of communication necessary for two Bayesian experts to approximately agree on the expectation of a random…

cs.LG2021

Surrogate Regret Bounds for Polyhedral Losses

Rafael Frongillo, Bo Waggoner

Surrogate risk minimization is an ubiquitous paradigm in supervised machine learning, wherein a target problem is solved by minimizing a surrogate loss on a dataset. Surrogate regr…

econ.TH2021★ 1 cited

Graphical Economies with Resale

Gabriel P. Andrade, Rafael Frongillo, Elliot Gorokhovsky +1

Kakade, Kearns, and Ortiz (KKO) introduce a graph-theoretic generalization of the classic Arrow--Debreu (AD) exchange economy. Despite its appeal as a networked version of AD, we a…

math.CO2021

Truncated Metric Dimension for Finite Graphs

Richard C. Tillquist, Rafael M. Frongillo, Manuel E. Lladser

A graph with geodesic distance is said to be resolved by a non-empty subset of its vertices when, for all vertices and , if fo…

math.CO2021★ 14 cited

Getting the Lay of the Land in Discrete Space: A Survey of Metric Dimension and its Applications

Richard C. Tillquist, Rafael M. Frongillo, Manuel E. Lladser

The metric dimension of a graph is the smallest number of nodes required to identify all other nodes based on shortest path distances uniquely. Applications of metric dimension inc…