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Algorithmic aspect on the minimum (weighted) doubly resolving set problem of graphs
Let G be a simple graph, where each vertex has a nonnegative weight. A vertex subset S of G is a doubly resolving set (DRS) of G if for every pair of...
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Dyadic approximation in the middle-third Cantor set
In this paper, we study the metric theory of dyadic approximation in the middle-third Cantor set. This theory complements earlier work of Levesley et...
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Source detection on graphs
Spreading processes on networks (graphs) have become ubiquitous in modern society with prominent examples such as infections, rumors, excitations,...
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Bounding Zolotarev Numbers Using Faber Rational Functions
By closely following a construction by Ganelius, we use Faber rational functions to derive tight explicit bounds on Zolotarev numbers. We use our...
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An IP-based swap** algorithm for the metric dimension and minimal doubly resolving set problems in hypercubes
We consider the problems of determining the metric dimension and the minimum cardinality of doubly resolving sets in n -cubes. Most heuristics...
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Vertices on Quasigeodesics
Theorem 16.5 demonstrated the importance in our context of the number of vertices on a...
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Double Asymptotic Expansion of the Resolving Operator of the Cauchy Problem for the Linearized System of Gas Dynamics
AbstractA double asymptotic expansion (with respect to smoothness and low viscosity) of the resolving operator of the Cauchy problem for the...
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(2K + 1)-Connected Tournaments with Large Minimum Out-Degree are K-Linked
Pokrovskiy conjectured that there is a function f : ℕ → ℕ such that any 2 k -strongly-connected tournament with minimum out and in-degree at least f ( k )...
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On the monotonicity of left and right Riemann sums
This paper is dedicated to proving general theorems about the monotonicity of left and right Riemann sums, a problem first raised by Fejér in 1950....
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Parabolic Boundary-Value Problems of Mathematical Physics in a Piecewise Homogeneous Wedge-Shaped Cylindrically Circular Layer
By using the method of classic integral and hybrid integral transformations, together with the method of main solutions (influence matrices and...
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Substructures in Latin squares
We prove several results about substructures in Latin squares. First, we explain how to adapt our recent work on high-girth Steiner triple systems to...
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Parabolic Boundary-Value Problems in a Piecewise Homogeneous Wedge-Shaped Cylindrically Circular Space
By the method of integral and hybrid integral transforms in combination with the method of principal solutions (matrices of influence and Green’s...
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Conservative Numerical Schemes with Optimal Dispersive Wave Relations: Part II. Numerical Evaluations
A new energy and enstrophy conserving scheme (EEC) for the shallow water equations is proposed and evaluated using a suite of test cases over the...
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A Multiscale Numerical Simulation of Quasi-Two-Dimensional Bacterial Turbulence Using a Regularized Stokeslet Representation
Self-propelled particles in low-Reynolds-number flow interact through the surrounding fluid. This study examined the collective dynamics of model...