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On free and nearly free arrangements of conics admitting certain \({\textrm{ADE}}\) singularities
The main purpose of this paper is to provide combinatorial constraints on the constructability of free and nearly free arrangements of smooth plane...
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Map** Low-Resolution Edges to High-Resolution Paths: The Case of Traffic Measurements in Cities
We consider the following problem: we have a high-resolution street network of a given city, and low-resolution measurements of traffic within this...
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Learning Scalable Task Assignment with Imperative-Priori Conflict Resolution in Multi-UAV Adversarial Swarm Defense Problem
The multi-UAV adversary swarm defense (MUASD) problem is to defend a static base against an adversary UAV swarm by a defensive UAV swarm. Decomposing...
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Free gs-Monoidal Categories and Free Markov Categories
Categorical probability has recently seen significant advances through the formalism of Markov categories, within which several classical theorems...
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Linear Convergence of the Derivative-Free Proximal Bundle Method on Convex Nonsmooth Functions, with Application to the Derivative-Free \(\mathcal{VU}\)-Algorithm
Proximal bundle methods are a class of optimisation algorithms that leverage the proximal operator to address nonsmoothness in the objective function...
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Walk Domination and HHD-Free Graphs
HHD-free is the class of graphs which contain no house, hole, or domino as induced subgraph. It is known that HHD-free graphs can be characterized...
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A characterization of maximal homogeneous-quadratic-free sets
The intersection cut framework was introduced by Balas in 1971 as a method for generating cutting planes in integer optimization. In this framework,...
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Andrews Skolemization May Shorten Resolution Proofs Non-elementarily
In this paper we construct a sequence of formulas \(F_1, F_2, \ldots \)...
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A Locking-Free and Reduction-Free Conforming Finite Element Method for the Reissner-Mindlin Plate on Rectangular Meshes
A family of conforming finite elements are designed on rectangular grids for solving the Reissner-Mindlin plate equation. The rotation is...
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Towards the Erdős-Hajnal conjecture for \(P_5\)-free graphs
The Erdős-Hajnal conjecture is one of the most classical and well-known problems in extremal and structural combinatorics dating back to 1977. It...
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Verification and Validation of High-Resolution Inviscid and Viscous Conical Nozzle Flows
Capturing elaborated flow structures and phenomena is required for well-solved numerical flows. The finite difference methods allow simple...
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On the profinite rigidity of free and surface groups
Let S be either a free group or the fundamental group of a closed hyperbolic surface. We show that if G is a finitely generated residually- p group...
