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Edge Dismantling with Geometric Reinforcement Learning
The robustness of networks plays a crucial role in various applications. Network dismantling, the process of strategically removing nodes or edges to...
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On the Edge-Connectivity and Restricted Edge-Connectivity of Optimal 1-Planar Graphs
A graph is called 1-planar if it can be drawn on the plane (or on the sphere) such that each edge is crossed at most once. It is known that a...
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Edge Chromatic Number of a Graph
We can assign a color to each edge of a graph instead of its vertices. This gives birth to the following notion:
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Algebraic properties of Levi graphs associated with curve arrangements
In the present paper, we study algebraic properties of edge ideals associated with plane curve arrangements via their Levi graphs. Using...
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Gorenstein curve singularities of genus three
We classify the analytic germs of isolated Gorenstein curve singularities of genus three, and relate them to the connected components of strata of...
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Classification of Exceptional Complements: Elliptic Curve Case
We classify the log del Pezzo surface (S, B) of rank 1 with no 1-,2-,3-,4-, or 6-complements with the additional condition that B has one irreducible...
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Diffeomorphic Registration of 3D Surfaces with Point and Curve Landmarks
This paper proposes a novel method to compute the diffeomorphic registration of 3D surfaces with point and curve feature landmarks. First the...
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Digital fundamental groups and edge groups of clique complexes
In previous work, we have defined—intrinsically, entirely within the digital setting—a fundamental group for digital images. Here, we show that this...
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Sequential Edge Detection Using Joint Hierarchical Bayesian Learning
This paper introduces a new sparse Bayesian learning (SBL) algorithm that jointly recovers a temporal sequence of edge maps from noisy and...
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Finding keys to the Peano curve
The purpose of this paper is to give a fairly complete analysis of Peano's space filling curve. We begin with a synopsis of the history of the...
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Data and Model Driven Task Offloading Strategy in the Dynamic Mobile Edge Computing System
Mobile Edge Computing (MEC) provides communication and computational capabilities for the industrial Internet, meeting the demands of...
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Construction of Free Curves by Adding Lines to a Given Curve
In the present note we construct new families of free plane curves starting from a curve C and adding high order inflectional tangent lines of C ,...
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The Galois action on the lower central series of the fundamental group of the Fermat curve
Information about the absolute Galois group G K of a number field K is encoded in how it acts on the étale fundamental group π of a curve X defined...
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A modified single edge V-notched beam method for evaluating surface fracture toughness of thermal barrier coatings
The surface fracture toughness is an important mechanical parameter for studying the failure behavior of air plasma sprayed (APS) thermal barrier...
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Curve Neighborhoods of Schubert Varieties in the Odd Symplectic Grassmannian
Let IG( k ,2 n + 1) be the odd symplectic Grassmannian. It is a quasi-homogeneous space with homogeneous-like behavior. A very limited description of...
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Hankel Edge Ideals of Trees and (Semi-)Hamiltonian Graphs
In this paper, we study the Hankel edge ideals of graphs. We determine the minimal prime ideals of the Hankel edge ideal of labeled Hamiltonian and...
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