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Journal of Combinatorial Theory, Series B, ISSN 0095-8956, 11/2017, Volume 127, pp. 32 - 52
In this paper, we prove the asymptotic multipartite version of the Alon–Yuster theorem, which is a generalization of the Hajnal–Szemerédi theorem: If k≥3 is an... 
Linear programming | Tiling | Multipartite | Alon–Yuster | Regularity | Hajnal–Szemerédi | Hajnal-Szemeredi | GRAPH | MATHEMATICS | Alon-Yuster | HAJNAL-SZEMEREDI THEOREM | PROOF | College teachers
Journal Article
Journal of Combinatorial Theory, Series B, ISSN 0095-8956, 03/2012, Volume 102, Issue 2, pp. 395 - 410
Let q be a positive integer, and G be a q-partite simple graph on qn vertices, with n vertices in each vertex class. Let δ=kk+1, where k=q+O(logq). If each... 
Regularity Lemma | Multipartite form of the Hajnal–Szemerédi theorem | Multipartite form of the Hajnal-Szemerédi theorem | MATHEMATICS | Multipartite form of the Hajnal-Szemeredi theorem
Journal Article
Quantum Information and Computation, ISSN 1533-7146, 05/2005, Volume 5, Issue 3, pp. 187 - 215
We study the complexity of a problem "Common Eigenspace" - verifying consistency of eigenvalue equations for composite quantum systems. The input of the... 
Quantum codes | Quantum complexity | Multipartite entanglement | quantum codes | COMPUTER SCIENCE, THEORY & METHODS | PHYSICS, MATHEMATICAL | quantum complexity | multipartite entanglement | PHYSICS, PARTICLES & FIELDS
Journal Article
by Li, LN and Molla, T
ELECTRONIC JOURNAL OF COMBINATORICS, ISSN 1077-8926, 10/2019, Volume 26, Issue 4
Both Cuckler and Yuster independently conjectured that when n is an odd positive multiple of 3 every regular tournament on n vertices contains a collection of... 
MATHEMATICS | MATHEMATICS, APPLIED | HAJNAL-SZEMEREDI THEOREM | PERFECT MATCHINGS | MULTIPARTITE VERSION | PACKING | GRAPHS
Journal Article
Journal of Graph Theory, ISSN 0364-9024, 06/2017, Volume 85, Issue 2, pp. 496 - 524
Let F be a graph that contains an edge whose deletion reduces its chromatic number. For such a graph F, a classical result of Simonovits from 1966 shows that... 
Turán's theorem | stability method | multipartite version | MATHEMATICS | Turan's theorem | TRANSVERSALS | COMPLETE SUBGRAPHS
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 9/2018, Volume 34, Issue 5, pp. 1049 - 1075
There is a sufficiently large $$N\in h{\mathbb {N}}$$ N∈hN such that the following holds. If G is a tripartite graph with N vertices in each vertex class such... 
Multipartite | Mathematics | Tiling | 05C70 | Engineering Design | Combinatorics | Regularity | 05C35 | Hajnal–Szemerédi | Hajnal-Szemeredi | MATHEMATICS | HAJNAL-SZEMEREDI THEOREM | H-FACTORS | MULTIPARTITE VERSION | PROOF | CONJECTURE | Graphs | Graph theory | Mathematics - Combinatorics
Journal Article
SIAM JOURNAL ON DISCRETE MATHEMATICS, ISSN 0895-4801, 2017, Volume 31, Issue 3, pp. 1498 - 1513
In this paper we prove an asymptotic multipartite version of a well-known theorem of Kuhn and Osthus by establishing, for any graph H with chromatic number r,... 
GRAPH | MATHEMATICS, APPLIED | Kuhn-Osthus | tiling | PROOF | linear programming | REGULARITY LEMMA | regularity | CONJECTURE | Hajnal-Szemeredi | multipartite | K-UNIFORM HYPERGRAPHS | HAJNAL-SZEMEREDI THEOREM | VERSION | PACKING
Journal Article
Journal of Algorithms, ISSN 0196-6774, 11/2001, Volume 41, Issue 2, pp. 388 - 403
In this paper, we introduce the maximum edge biclique problem in bipartite graphs and the edge/node weighted multipartite clique problem in multipartite... 
complexity | clique | bipartite graph | multipartite graph | Multipartite graph | Clique | Bipartite graph | Complexity | LOGIC
Journal Article
New Journal of Physics, ISSN 1367-2630, 11/2018, Volume 20, Issue 11, p. 113014
We analyze the security of two multipartite quantum key distribution (QKD) protocols, specifically we introduce an N-partite version of the BB84 protocol and... 
conference key agreement | security analysis | finite-key effects | uncertainty relation for smooth entropies | quantum key distribution | multipartite qkd | finite resources | STATES | PHYSICS, MULTIDISCIPLINARY | SECURITY | CRYPTOGRAPHY
Journal Article
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 06/2011, Volume 83, Issue 6
Recently several more efficient versions of quantum state tomography have been proposed, with the purpose of making tomography feasible even for many-qubit... 
MULTIPARTITE ENTANGLEMENT | MODEL | OPTICS | EQUIVALENCE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Physics - Quantum Physics | TOMOGRAPHY | QUANTUM INFORMATION | DIAGNOSTIC TECHNIQUES | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | INFORMATION | MATRICES | QUANTUM STATES | DENSITY MATRIX | QUBITS
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 09/2018, Volume 51, Issue 41, p. 414013
We introduce a notion of genuine correlated coherence. Such a notion is based on the possibility of concentrating on individual systems the coherence present... 
multipartite | coherence | correlations | entanglement | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL
Journal Article
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 10/2018, Volume 51, Issue 41
We introduce a notion of genuine correlated coherence. Such a notion is based on the possibility of concentrating on individual systems the coherence present... 
multipartite | coherence | PHYSICS, MULTIDISCIPLINARY | entanglement | PHYSICS, MATHEMATICAL | correlations
Journal Article
Journal of the European Mathematical Society, ISSN 1435-9855, 2018, Volume 20, Issue 5, pp. 1139 - 1159
Extremal problems for 3-uniform hypergraphs are known to be very difficult and despite considerable effort the progress has been slow. We suggest a more... 
Extremal graph theory | Quasirandom hypergraphs | Turán’s problem | Turan's problem | DENSITY | MATHEMATICS | 3-GRAPHS | MATHEMATICS, APPLIED | REGULAR PARTITIONS | EXTREMAL PROBLEMS | extremal graph theory | LEMMAS | MULTIPARTITE GRAPHS
Journal Article
European Journal of Combinatorics, ISSN 0195-6698, 07/2012, Volume 33, Issue 5, pp. 872 - 883
A graph is on-line chromatic choosable if its on-line choice number equals its chromatic number. In this paper, we consider on-line chromatic-choosable... 
MATHEMATICS | CHOICE NUMBER | COMPLETE MULTIPARTITE GRAPHS | OHBAS CONJECTURE | Lists | Mathematical analysis | Graphs | On-line systems | Colouring | Coefficients | Combinatorial analysis
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 6/2016, Volume 55, Issue 6, pp. 2904 - 2912
Fully entangled fraction is a definition for bipartite states, which is tightly related to bipartite maximally entangled states, and has clear experimental and... 
Multi-qubit state | Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | Multipartite fully entangled fraction | GHZ state | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | Physics - Quantum Physics
Journal Article
Journal of Nonparametric Statistics, ISSN 1048-5252, 01/2015, Volume 27, Issue 1, pp. 107 - 126
Whereas various efficient learning algorithms have been recently proposed to perform bipartite ranking tasks, cast as receiver operating characteristic (ROC)... 
ROC surface | multipartite ranking | VUS optimisation | 62G10 | 62C99 | recursive partitioning | Recursive partitioning | STATISTICS & PROBABILITY | Learning | Manifolds | Algorithms | Ranking | Scoring | Mathematical models | Criteria | Optimization | Probability | Mathematics | Statistics | Machine Learning
Journal Article
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