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The zero-error capacity of a classical channel is a parameter of its confusability graph, and is equal to the minimum of the values of graph parameters that are additive under the disjoint union, multiplicative under the strong product, monotone under homomorphisms between the complements, and normalized.
Probabilistic refinement of the asymptotic spectrum of graphs
Péter Vrana · 1903
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On orthogonal matrices
Raymond EAC Paley · 1933
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The zero error capacity of a noisy channel
Claude Shannon · 1956
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On some problems of Lovász concerning the Shannon capacity of a graph
Willem Haemers · 1979
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On the Shannon capacity of a graph
László Lovász · 1979
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Hadamard graphs. I
Noboru Ito · 1985
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Hadamard graphs. II
Noboru Ito · 1985
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Orthogonal vectors in the n n -dimensional cube and codes with missing distances
Péter Frankl · 1986
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Forbidden intersections
Péter Frankl and Vojtěch Rödl · 1987
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The asymptotic spectrum of tensors
Volker Strassen · 1988
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The sandwich theorem
Donald E Knuth · 1994
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A local-global principle for preordered semirings and abstract Positivstellensätze
Tobias Fritz · 2003
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A generalization of Strassen’s theorem on preordered semirings
Péter Vrana · 2003
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Super-activation of zero-error capacity of noisy quantum channels
Runyao Duan · 2009
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Superactivation of the asymptotic zero-error classical capacity of a quantum channel
Toby S Cubitt, Jianxin Chen, and Aram W Harrow · 2011
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Information theory: coding theorems for discrete memoryless systems
Imre Csiszár and János Körner · 2011
Laura Mančinska and David E Roberson · 2015
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Quantum zero-error source-channel coding and non-commutative graph theory
Dan Stahlke · 2015
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On a fractional version of Haemers’ bound
Boris Bukh and Christopher Cox · 2018
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Complexity and capacity bounds for quantum channels
Rupert H Levene, Vern I Paulsen, and Ivan G Todorov · 2018
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Algebraic complexity, asymptotic spectra and entanglement polytopes
Jeroen Zuiddam · 2018
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Fractional graph theory: a rational approach to the theory of graphs
Edward R Scheinerman and Daniel H Ullman · 2011
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Elements of information theory
Thomas M Cover and Joy A Thomas · 2012
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Zero-error communication via quantum channels, noncommutative graphs, and a quantum Lovász number
Runyao Duan, Simone Severini, and Andreas Winter · 2012
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Violating the Shannon capacity of metric graphs with entanglement
Jop Briët, Harry Buhrman, and Dion Gijswijt · 2013
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A graph-theoretic approach to network coding
Anna Blasiak · 2013
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Toby Cubitt, Laura Mančinska, David E Roberson, Simone Severini, Dan Stahlke, and Andreas Winter · 2014
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The asymptotic spectrum of graphs and the Shannon capacity
Jeroen Zuiddam · 2019
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Sandwich theorems and capacity bounds for non-commutative graphs
Gareth Boreland, Ivan G Todorov, and Andreas Winter · 2020
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A generalization of Strassen’s Positivstellensatz
Tobias Fritz · 2020
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The Haemers bound of noncommutative graphs
Sander Gribling and Yinan Li · 2020
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Quantum asymptotic spectra of graphs and non-commutative graphs, and quantum Shannon capacities
Yinan Li and Jeroen Zuiddam · 2020
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Asymptotic spectra: Theory, applications and extensions
Avi Wigderson and Jeroen Zuiddam · 2021
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