Results 11 to 20 of about 501,962 (291)
The d=6 trace anomaly from quantum field theory four-loop graphs in one dimension [PDF]
23 pages, 17 ...
Agapitos Hatzinikitas, Renato Portugal
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Dimension theory of graphs and networks [PDF]
Starting from the working hypothesis that both physics and the corresponding mathematics have to be described by means of discrete concepts on the Planck-scale, one of the many problems one has to face in this enterprise is to find the discrete protoforms of the building blocks of continuum physics and mathematics.
Thomas Nowotny, Manfred Requardt
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Extremal Graph Theory for Metric Dimension and Diameter [PDF]
A set of vertices S resolves a connected graph G if every vertex is uniquely determined by its vector of distances to the vertices in S. The metric dimension of G is the minimum cardinality of a resolving set of G. Let G ,D be the set of graphs with metric dimension and diameter D.
Carmen Hernando +4 more
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Graph Theory Solution Method to Solve The Complex Assembly Dimension Chain [PDF]
Ya Zhang, Zhang Li
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The maximum number of edges in a graph of bounded dimension, with applications to ring theory [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geir Agnarsson +2 more
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Analysis of Resting-State fMRI Topological Graph Theory Properties in Methamphetamine Drug Users Applying Box-Counting Fractal Dimension [PDF]
Graph theoretical analysis of functional Magnetic Resonance Imaging (fMRI) data has provided new measures of mapping human brain in vivo. Of all methods to measure the functional connectivity between regions, Linear Correlation (LC) calculation of activity time series of the brain regions as a linear measure is considered the most ubiquitous one.
Meysam Siyah Mansoory +3 more
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Limit theory of sparse random geometric graphs in high dimensions [PDF]
We study topological and geometric functionals of $l_\infty$-random geometric graphs on the high-dimensional torus in a sparse regime, where the expected number of neighbors decays exponentially in the dimension. More precisely, we establish moment asymptotics, functional central limit theorems and Poisson approximation theorems for certain functionals
Gilles Bonnet +3 more
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Dimension Theory of some non-Markovian repellers Part II: Dynamically defined function graphs [PDF]
This is the second part in a series of two papers. Here, we give an overview on the dimension theory of some dynamically defined function graphs, like Takagi and Weierstrass function, and we study the dimension of Markovian fractal interpolation functions and generalised Takagi functions generated by non-Markovian dynamics.
Balázs Bárány +2 more
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Urban transportation networks play a crucial role in modern city planning, requiring efficient design, optimization, and management strategies. This study examines the Lahore Metro Orange Line using a combination of graph theory and multi-criteria decision-making (MCDM) techniques, specifically the metric dimension analysis, VIKOR, and PROMETHEE ...
Umar Farooq +2 more
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