Results 41 to 50 of about 26,182 (287)
Interlacing Results for Hypergraphs [PDF]
Proceedings of Blockchain in Kyoto 2021 (BCK21), 2021 Hypergraphs are a generalization of graphs in which edges can connect any number of vertices. They allow the modeling of complex networks with higher-order interactions, and their spectral theory studies the qualitative properties that can be inferred from the spectrum, i.e. the multiset of the eigenvalues, of an operator associated to a hypergraph. It
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Motion Planning of Redundant Manipulators for Painting Uniform Thick Coating in Irregular Duct
Journal of Robotics, 2016 The paper presents a motion planning method of redundant manipulator for painting uniform thick coating on the interior of irregular duct of some aircrafts.
Yan Chen, Wenzhuo Chen, Ken Chen, Bo Li
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Interlacing of zeros of weakly holomorphic modular forms
Proceedings of the American Mathematical Society, Series B, 2014 We prove that the zeros of a family of extremal modular forms interlace, settling a question of Nozaki. Additionally, we show that the zeros of almost all forms in a basis for the space of weakly holomorphic modular forms of
Paul Jenkins, Kyle Pratt
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FEBS Letters, EarlyView.This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
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On inverse problem for tree of Stieltjes strings
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 For a given metric tree and two strictly interlacing sequences of numbers there exits a distribution of point masses on the edges (which are Stieltjes strings) such that one of the sequences is the spectrum of the spectral problem with the Neumann ...
Анастасія Ігорівна Дудко +1 more
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Weighted Interlace Polynomials [PDF]
Combinatorics, Probability and Computing, 2009 The interlace polynomials introduced by Arratia, Bollobás and Sorkin extend to invariants of graphs with vertex weights, and these weighted interlace polynomials have several novel properties. One novel property is a version of the fundamental three-term formulathat lacks the last term.
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Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
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Molecular Oncology, EarlyView.The noncoding region of the genome plays a key role in regulating gene expression, and mutations within these regions are capable of altering it. Researchers have identified multiple functional noncoding mutations associated with increased cancer risk in the genome of breast cancer patients.
Arnau Cuy Saqués +3 more
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ARQ (Santiago), 2018 Resumen: No es fácil diseñar un complejo de un poco más de 1.000 departamentos sin que parezca ‘masivo’. Mediante la superposición de 31 bloques de 6 niveles cada uno, este proyecto logra combinar la repetición con la variedad, lo que permite que la combinación de un elemento serializado se perciba como una unidad.
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Note on the product of the largest and the smallest eigenvalue of a graph
Special MatricesIn this note, we use eigenvalue interlacing to derive an inequality between a graph’s maximum degree and its maximum and minimum adjacency eigenvalues. The equality case is fully characterized.
Abiad Aida +2 more
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