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Advances in Applied Mathematics, 2020 This paper initiates the study of the "Laplacian simplex" $T_G$ obtained from a finite graph $G$ by taking the convex hull of the columns of the Laplacian matrix for $G$. Basic properties of these simplices are established, and then a systematic investigation of $T_G$ for trees, cycles, and complete graphs is provided. Motivated by a conjecture of Hibi
Braun, Benjamin, Meyer, Marie
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Determinants of Laplacians [PDF]
Communications in Mathematical Physics, 1987 Let \(\Gamma
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The Bayesian-Laplacian Brain [PDF]
European Journal of Neuroscience, 2016 AbstractWe outline what we believe could be an improvement in future discussions of the brain acting as a Bayesian-Laplacian system. We do so by distinguishing between two broad classes of priors on which the brain’s inferential systems operate: in one category are biological priors (β priors) and in the other artifactual ones (α priors).
Semir Zeki +3 more
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Fractional Laplacians on ellipsoids
Mathematics in Engineering, 2021 6 pictures, 27 ...
Abatangelo N., Jarohs S., Saldana A.
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Journal of Mathematics, 2021 Let G be a graph with n vertices, and let LG and QG denote the Laplacian matrix and signless Laplacian matrix, respectively. The Laplacian (respectively, signless Laplacian) permanental polynomial of G is defined as the permanent of the characteristic ...
Tingzeng Wu, Tian Zhou
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Super-Laplacians and their symmetries [PDF]
Journal of High Energy Physics, 2017 25 pages, References and comments ...
Paul S. Howe +2 more
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A note on the Seidel and Seidel Laplacian matrices
Boletim da Sociedade Paranaense de Matemática, 2022 In this paper we investigate the spectrum of the Seidel and Seidel Laplacian matrix of a graph. We generalized the concept of Seidel Laplacian matrix which denoted by Seidel matrix and obtained some results related to them.
Jalal Askari
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Mathematics, 2021 Unravelling how the human brain structure gives rise to function is a central question in neuroscience and remains partially answered. Recent studies show that the graph Laplacian of the human brain’s structural connectivity (SC) plays a dominant role in
Jichao Ma +3 more
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On the Laplacian eigenvalues of a graph and Laplacian energy
Linear Algebra and its Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Pirzada, Hilal A. Ganie
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