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In this note, we analyze two random greedy processes on sparse random graphs and hypergraphs with a given degree sequence. First we analyze the matching process, which builds a set of disjoint edges one edge at a time; then we analyze the independent...
This article studies discrete height functions on the discrete hypertorus. These are functions on the vertices of this hypertorus graph for which the derivative satisfies a specific condition on each edge. We then perform a random walk on the set of...
The bunkbed conjecture was first posed by Kasteleyn. If $G=(V,E)$ is a finite graph and $H$ some subset of $V$, then the bunkbed of the pair $(G,H)$ is the graph $G\times\{1,2\}$ plus $|H|$ extra edges to connect for every $v\in H$ the vertices $(v,1...
A utility knife is any type of knife used for general manual work purposes. Such knives were originally fixed-blade knives with durable cutting edges suitable
Higher-order methods for dependency parsing can partially but not fully address the issue that edges in dependency trees should be constructed at the text span/subtree level rather than word level. In this paper, we propose a new method for dependenc...
We consider real 2-step metric nilpotent Lie algebras associated to graphs with possibly repeated edge labels as constructed by Ray in 2016. We determine how the structure of the egde labeling within the graph contributes to the abelian factor in the...
Let $G$ be a bridgeless cubic graph. The \textit{resistance} of $G$, denoted $r(G)$, is the minimum number of edges which can be removed from $G$ in order to render 3-edge-colourability. The \textit{oddness} of $G$, denoted $ω(G)$, is the minimum nu...
I find Bert so infuriating to watch, he’s so rude and standoffish to the contestants but is then quite meek to the judges. The part that pushed me over the edge is during the New Balance challenge...
The scientists featured in this list represent the cutting edge of human knowledge and innovation across a wide range of disciplines. Their work not only advances our understanding of the world but also has …
Automated Form Filler: Python script using PyAutoGUI to automate web form filling in Microsoft Edge from a CSV file. Boost efficiency by automating repetitive tasks! (⭐ 2)
We define MC left regular bands and study their adjacency graphs. We prove that for thin MC left regular bands, the adjacency graph is particularly nice and is represented by edge labeled graphs where every simple cycle has an even number of edges. C...
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outline, contour, profile, silhouette mean the line that bounds and gives form to something. outline applies to a line marking the outer limits or edges of a body or mass. contour stresses the quality of …
A firm-worker hypergraph consists of edges in which each edge joins a firm and its possible employees. We show that a stable matching exists in both many-to-one matching with transferable utilities and discrete many-to-one matching when the firm-work...
After many months of trying different browsers, Edge, Chrome, Firefox, Vivaldi, Opera... Etc Even new browsers like a Zen & Helium. I found Brave to be the fastest. In regards to loading speed an...
A gable is the generally triangular portion of a wall between the edges of intersecting roof pitches. The shape of the gable and how it is detailed depends
We know she's a springer spaniel, but are still on the edge about wether its an english or welsh sub-breed. Shes also mixed with another breed which is completely unknown. We'd love to hear your gue...
Occupancy and 3D object detection are characterized as two standard tasks in modern autonomous driving system. In order to deploy them on a series of edge chips with better precision and time-consuming trade-off, contemporary approaches either deploy...
A Node.js based package and CLI library for launching Selenium with WebDrivers support (Chrome, Firefox, IE, Edge) (⭐ 913)