Search Results - "Avis, David"
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On the foundations and extremal structure of the holographic entropy cone
Published in Discrete Applied Mathematics (31-03-2023)“…The holographic entropy cone (HEC) is a polyhedral cone first introduced in the study of a class of quantum entropy inequalities. It admits a graph-theoretic…”
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On the extension complexity of combinatorial polytopes
Published in Mathematical programming (01-10-2015)“…In this paper we extend recent results of Fiorini et al. on the extension complexity of the cut polytope and related polyhedra. We first describe a lifting…”
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3
An Analysis of Budgeted Parallel Search on Conditional Galton–Watson Trees
Published in Algorithmica (01-05-2020)“…Recently Avis and Jordan have demonstrated the efficiency of a simple technique called budgeting for the parallelization of a number of tree search algorithms…”
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Automated 3-D Extraction of Inner and Outer Surfaces of Cerebral Cortex from MRI
Published in NeuroImage (Orlando, Fla.) (01-09-2000)“…Automatic computer processing of large multidimensional images such as those produced by magnetic resonance imaging (MRI) is greatly aided by deformable…”
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5
Enumeration of Nash equilibria for two-player games
Published in Economic theory (01-01-2010)“…This paper describes algorithms for finding all Nash equilibria of a two-player game in strategic form. We present two algorithms that extend earlier work. Our…”
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mplrs: A scalable parallel vertex/facet enumeration code
Published in Mathematical programming computation (01-06-2018)Get full text
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On the H-free extension complexity of the TSP
Published in Optimization letters (01-03-2017)“…It is known that the extension complexity of the TSP polytope for the complete graph K n is exponential in n even if the subtour inequalities are excluded. In…”
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On the existence of Hamiltonian paths for history based pivot rules on acyclic unique sink orientations of hypercubes
Published in Discrete Applied Mathematics (01-10-2012)“…An acyclic USO on a hypercube is formed by directing its edges in such a way that the digraph is acyclic and each face of the hypercube has a unique sink and a…”
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Generating facets for the cut polytope of a graph by triangular elimination
Published in Mathematical programming (01-04-2008)“…The cut polytope of a graph arises in many fields. Although much is known about facets of the cut polytope of the complete graph, very little is known for…”
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10
An exponential lower bound for Cunningham’s rule
Published in Mathematical programming (2017)“…In this paper we give an exponential lower bound for Cunningham’s least recently considered (round-robin) rule as applied to parity games, Markov decision…”
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11
Sparktope: linear programs from algorithms
Published in Optimization methods & software (04-05-2022)“…In a recent paper, Avis, Bremner, Tiwary and Watanabe gave a method for constructing linear programs (LPs) based on algorithms written in a simple programming…”
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12
mts: a light framework for parallelizing tree search codes
Published in Optimization methods & software (04-05-2021)“…We describe mts , a generic framework for parallelizing certain types of tree search programmes including reverse search, backtracking, branch and bound and…”
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A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra
Published in Discrete & computational geometry (01-08-1992)Get full text
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14
mplrs: A scalable parallel vertex/facet enumeration code
Published in Mathematical programming computation (2018)“…We describe a new parallel implementation, mplrs, of the vertex enumeration code lrs that uses the MPI parallel environment and can be run on a network of…”
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On Reconfiguration Graphs of Independent Sets Under Token Sliding
Published in Graphs and combinatorics (01-06-2023)“…An independent set of a graph G is a vertex subset I such that there is no edge joining any two vertices in I . Imagine that a token is placed on each vertex…”
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Correction to: On Reconfiguration Graphs of Independent Sets Under Token Sliding
Published in Graphs and combinatorics (2023)Get full text
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On the directed cut cone and polytope
Published in Journal of combinatorial optimization (01-05-2016)“…In this paper we study the directed cut cone and polytope which are the positive hull and convex hull of all directed cut vectors of a complete directed graph,…”
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A generalization of extension complexity that captures P
Published in Information processing letters (01-06-2015)“…•We study a generalization of extended formulations of polytopes.•Our generalization allows ignoring a subset of valid inequalities.•Our generalization…”
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Algorithmic enumeration of surrounding polygons
Published in Discrete Applied Mathematics (15-11-2021)“…We are given a set S of points in the Euclidean plane. We assume that S is in general position. A simple polygon P is a surrounding polygon of S if each vertex…”
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HV-symmetric polyhedra and bipolarity
Published 05-06-2024“…Every polyhedron P in R^n can be described by an H-representation \mathcal{H}(P) consisting of half spaces or equivalently by a V-representation \mathcal{V}(P)…”
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