Results 31 to 40 of about 87,020 (287)
Extreme Points of Matrix Convex Sets, Free Spectrahedra, and Dilation Theory [PDF]
The Journal of Geometric Analysis, 2017 This version corrects dropped hypotheses in Theorem 1.1 (1) and Proposition 6.1. A detailed explanation of the corrections is found in a new section, Section 8.
Evert, Eric +3 more
openaire +3 more sources
Exponential multivalued forbidden configurations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 The forbidden number $\mathrm{forb}(m,F)$, which denotes the maximum number of unique columns in an $m$-rowed $(0,1)$-matrix with no submatrix that is a row and column permutation of $F$, has been widely studied in extremal set theory.
Travis Dillon, Attila Sali
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Force-free higher derivative Einstein-Maxwell theory and multi-centered black holes
Journal of High Energy Physics, 2023 We investigate which 4-derivative extensions of Einstein-Maxwell theory admit multi-extremal black hole solutions with gravitational force balanced by Coulomb force.
Peng-Ju Hu, Yi Pang
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Toral Algebraic Sets and Function Theory on Polydisks [PDF]
, 2005 A toral algebraic set $A$ is an algebraic set in $\C^n$ whose intersection with $\T^n$ is sufficiently large to determine the holomorphic functions on $A$.
Agler, Jim +2 more
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Hypergraphs with infinitely many extremal constructions
Discrete Analysis, 2023 Hypergraphs with infinitely many extremal constructions, Discrete Analysis 2023:18, 34 pp. A fundamental result in extremal graph theory, Turán's theorem, states that the maximal number of edges of a graph with $n$ vertices that does not contain a ...
Jianfeng Hou +4 more
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Extremal graph theory and finite forcibility [PDF]
, 2017 We study the uniqueness of optimal solutions to extremal graph theory problems. Our main result is a counterexample to the following conjecture of Lov´asz, which is often referred to as saying that “every extremal graph theory problem has a finitely ...
Grzesik, Andrzej +2 more
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Near-extremal limits of warped black holes
SciPost Physics, 2023 A holographic description of three-dimensional warped black holes suffers from ambiguities due to a seemingly harmless choice of coordinate system.
Ankit Aggarwal, Alejandra Castro, Stéphane Detournay, Beatrix Mühlmann
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Non-minimally coupled multi-scalar black holes [PDF]
, 2007 We study the static, spherically symmetric black hole solutions for a non-minimally coupled multi-scalar theory. We find numerical solutions for values of the scalar fields when a certain constraint on the maximal charge is satisfied.
Alex B. Nielsen +2 more
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Pairwise Intersections and Forbidden Configurations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 Let $f_m(a,b,c,d)$ denote the maximum size of a family $\mathcal{F}$ of subsets of an $m$-element set for which there is no pair of subsets $A,B \in \mathcal{F}$ with $|A \cap B| \geq a$, $|\bar{A} \cap B| \geq b$, $|A \cap \bar{B}| \geq c$, and $|\bar{A}
Richard P. Anstee, Peter Keevash
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On the VC-dimension, covering and separating properties of the cycle and spanning tree hypergraphs of graphs [PDF]
Transactions on Combinatorics, 2022 In this paper, we delve into studying some relations between the structure of the cycles and spanning trees of a graph through the lens of its cycle and spanning tree hypergraphs which are hypergraphs with the edge set of the graph as their vertices ...
Alireza Mofidi
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