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On the full Brouwer's Laplacian spectrum conjecture
Discrete Mathematics, 2022Ji-Ming Guo
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On Brouwer’s continuity principle
Indagationes Mathematicae, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Brouwer's Intuition of Twoity and Constructions in Separable Mathematics
History and Philosophy of Logic, 2023My first aim in this paper is to use time diagrams in the style of Brentano to analyze constructions in Brouwer's separable mathematics more precisely. I argue that constructions must involve not only pairing and projecting as basic operations guaranteed
Bruno Bentzen
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Brouwer type conjecture for the eigenvalues of distance signless Laplacian matrix of a graph
Linear and multilinear algebra, 2019Let G be a simple connected graph with n vertices, m edges and having distance signless Laplacian eigenvalues . For , let and be respectively the sum of k-largest distance signless Laplacian eigenvalues and the sum of k-smallest distance signless ...
A. Alhevaz +3 more
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2022
Abstract Chapter 5 argues that one premise of the argument that this book defends is a logical truth. It shows that the premise is true if and only if the logic of absolute modality includes the Brouwer system. It also argues that that logic does include that system.
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Abstract Chapter 5 argues that one premise of the argument that this book defends is a logical truth. It shows that the premise is true if and only if the logic of absolute modality includes the Brouwer system. It also argues that that logic does include that system.
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Simple Proofs of the Hadamard and Poincaré–Miranda Theorems Using the Brouwer Fixed Point Theorem
The American mathematical monthly, 2019The theorems of Hadamard and of Poincaré–Miranda give sufficient conditions for the existence of at least one zero for some continuous mappings from a Euclidean space into itself. The note gives elementary and brief derivations of these theorems from the
J. Mawhin
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Upper bounds for the sum of Laplacian eigenvalues of a graph and Brouwer's conjecture
Discret. Math. Algorithms Appl., 2019Consider a simple graph [Formula: see text] of order [Formula: see text] and size [Formula: see text] having Laplacian eigenvalues [Formula: see text].
Hilal A. Ganie +3 more
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Mathematical Notes, 1992
The paper provides a calculation for the Browder-Livesay groups \(LN_ *( \pi \to G)\) for a finite abelian 2-group \(G\), here \(\pi\) is an index two subgroup. In case \(G \cong \pi \oplus \mathbb{Z} / 2\) the calculation was known since [\textit{C. T. C.
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The paper provides a calculation for the Browder-Livesay groups \(LN_ *( \pi \to G)\) for a finite abelian 2-group \(G\), here \(\pi\) is an index two subgroup. In case \(G \cong \pi \oplus \mathbb{Z} / 2\) the calculation was known since [\textit{C. T. C.
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Brouwer's Conjecture for the cartesian product of graphs
Linear Algebra and its Applications, 2023G. Torres, Vilmar Trevisan
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1976
Probably the most famous fixed-point theorem states that a continuous function from a closed n-cell to itself leaves at least one point fixed. The Dutch mathematician L. E. J. Brouwer proved this result in 1912 [5] using degree theory. An equivalent theorem in the case of differentiable functions was proved earlier by Bohl [4], who used Green’s theorem.
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Probably the most famous fixed-point theorem states that a continuous function from a closed n-cell to itself leaves at least one point fixed. The Dutch mathematician L. E. J. Brouwer proved this result in 1912 [5] using degree theory. An equivalent theorem in the case of differentiable functions was proved earlier by Bohl [4], who used Green’s theorem.
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