Results 11 to 20 of about 501,962 (291)

Dimension theory of graphs and networks [PDF]

open access: greenJournal of Physics A: Mathematical and General, 1998
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
openalex   +6 more sources

Extremal Graph Theory for Metric Dimension and Diameter [PDF]

open access: diamond, 2010
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
openalex   +3 more sources

The maximum number of edges in a graph of bounded dimension, with applications to ring theory [PDF]

open access: greenDiscrete Mathematics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geir Agnarsson   +2 more
openalex   +5 more sources

Analysis of Resting-State fMRI Topological Graph Theory Properties in Methamphetamine Drug Users Applying Box-Counting Fractal Dimension [PDF]

open access: diamondBasic and Clinical Neuroscience Journal, 2017
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
openalex   +5 more sources

Limit theory of sparse random geometric graphs in high dimensions [PDF]

open access: yesStochastic Processes and their Applications, 2023
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
openaire   +2 more sources

Dimension Theory of some non-Markovian repellers Part II: Dynamically defined function graphs [PDF]

open access: green, 2019
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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Multi-Criteria Decision Making and Graph Theory-Based Optimization of the Lahore Metro System: A Metric Dimension, VIKOR, and PROMETHEE Approach

open access: bronzeJournal of Mathematics Research
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
openalex   +2 more sources

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