In 1995, Galvin proved that a bipartite graph $G$ admits a list edge coloring if every edge is assigned a color list of length $Δ(G)$, the maximum degree of the graph. This result was improved by Borodin, Kostochka and Woodall, who proved that $G$ s...
A decomposition of $K_{n(g)}\setminus L$, the complete n-partite equipartite graph with a subgraph L (called the leave) removed, into edge disjoint copies of a graph G is called a maximum group divisible packing of $K_{n(g)}$ with G if L contains as...
We consider maximum packings of edge-disjoint $4$-cliques in the complete graph $K_n$. When $n \equiv 1$ or $4 \pmod{12}$, these are simply block designs. In other congruence classes, there are necessarily uncovered edges; we examine the possible `le...
We determine the asymptotics of the independence number of the random $d$-regular graph for all $d \ge d_0$. It is highly concentrated, with constant-order fluctuations around $nα_* - c_*\log n$ for explicit constants $α_*(d)$ and $c_*(d)$. Our pro...
Aug 22, 2025 · Hurricane Katrina was a Category 3 storm that made landfall off the Louisiana coast on August 29, 2005, with maximum sustained wind speeds of 120 miles per hour. Because of the …
Many real-life optimization problems can be formulated in Boolean logic as MaxSAT. Here we present a continuous-time analog solver for MaxSAT and show that one can predict the maximum number of satisfiable constraints, often well before finding the optimal ass…
We show that there is a stronger form of bipartite quantum nonlocality in which systems that never interacted are as nonlocal as allowed by no-signaling. For this purpose, we first show that nonlocal boxes, theoretical objects that violate a bipartit...
Motivated by Bland's linear-programming generalization of the renowned Edmonds-Karp efficient refinement of the Ford-Fulkerson maximum-flow algorithm, we discuss three closely-related natural augmentation rules for linear and integer-linear optimizat...
Given a graph H and a positive integer n, the planar Turan number of H, denoted by exp(n, H), is the maximum number of edges in an n-vertex H-free planar graph.D.Ghosh, et al.initiated the topic of double stars S_(k,l). Recently Xu et al.[AIMS Mathem...
The detailed investigation of the single pion production reactions $pp\to pnπ^{+}$ and $pp\to ppπ^{o}$ at the incident proton momentum 1628 MeV/c has been carried out. The data are analyzed in the framework of the event-by-event maximum likelihood...
For a one-dimensional simple symmetric random walk $(S_n)$, an edge $x$ (between points $x-1$ and $x$) is called a favorite edge at time $n$ if its local time at $n$ achieves the maximum among all edges. In this paper, we show that with probability 1...
The coherence properties of two downconversion processes continuously coupled via idler beams are analyzed. We find that the amount of which-way information about a signal photon carried by idler beams periodically attains its maximum and minimum i...
A compilation of modules optimized for maximum grief. Featuring powerful mods for Chunk Tracing, Base Hunting, and Griefing servers! A few modules were not originally written by me, but have been modified. Customer Service: https://www.breakblocks.com/discord…
$KS$-algebra consists of expressions constructed with four kinds operations, the minimum, maximum, difference and additively homogeneous generalized means. Five families of $Z$-classifiers are investigated on binary classification tasks between Engli...
In this paper we describe weighting techniques used for the optimal coaddition of CCD frames with differing characteristics. Optimal means maximum signal-to-noise (s/n) for stellar objects. We derive formulae for four applications: 1) object detect...
The classic theorem of Gallai and Milgram (1960) asserts that for every graph G, the vertex set of G can be partitioned into at most α(G) vertex-disjoint paths, where α(G) is the maximum size of an independent set in G. The proof of Gallai--Milgram...
liver function tests. The recommended maximum daily dose for an adult is three to four grams. Higher doses may lead to toxicity, including liver failure. Paracetamol
Allure Report is a flexible, lightweight multi-language test reporting tool. It provides clear graphical reports and allows everyone involved in the development process to extract the maximum of information from the everyday testing process (⭐ 5299)
We report high-cadence photometry of the ultra-fast ($t_2\sim1.2$ d) nova V1674 Her during its rise to maximum light ($V\sim6.3$) and the beginning of its subsequent decline. These observations from Evryscope and the Mount Laguna Observatory All-Sky...
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