We consider the complexity of problems related to the combinatorial game Free-Flood-It, in which players aim to make a coloured graph monochromatic with the minimum possible number of flooding operations. Our main result is that computing the length...
We prove some technical results relating to the Brownian snake on a stable Lévy tree. This includes some estimates on the range of the snake, estimates on its occupation measure around its minimum and also a proof of the fact that the snake and the...
Let $r\geq 3$ be an integer and $G$ be a graph. Let $δ(G), Δ(G)$, $α(G)$ and $μ(G)$ denotes minimum degree, maximum degree, independence number and matching number of $G$, respectively. Recently, Caro, Davila and Pepper proved $δ(G)α(G)\leq Δ(...
31 Dec 2025 MoHRE raises minimum wage for Emiratis in private sector to AED6,000 per month, effective 1 January UAE Future Roadmap 2025-2030 2030-2050 2050-2117 2030-2050 The National …
The chromatic number $χ(G)$ of a graph $G$ is defined as the minimum number of colours required for a vertex colouring where no two adjacent vertices are coloured the same. The chromatic number of the dense random graph $G \sim G(n,p)$ where $p \in...
i wanted to yap a lot but im tired so just why? its really important for breading cats and super easy to complete since it only requires 31 till 4. reward which is bare minimum for effective breading ...
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In this paper, a Roos like bound on the minimum distance for skew cyclic codes over a general field is provided. The result holds in the Hamming metric and in the rank metric. The proofs involve arithmetic properties of skew polynomials and an analys...
stated rationale is that licensing ensures that professions provide a minimum quality standard while the drawback is that licensing leads to higher prices
We analyze the setting of minimum-cost perfect matchings with selfish vertices through the price of anarchy (PoA) and price of stability (PoS) lens. The underlying solution concept used for this analysis is the Gale-Shapley stable matching notion, wh...
In this paper, we show some applications of algebraic curves to the construction of kernels of polar codes over a discrete memoryless channel which is symmetric w.r.t the field operations. We will also study the minimum distance of the polar codes pr...
Type approval or certificate of conformity is granted to a product that meets a minimum set of regulatory, technical and safety requirements. Generally
Get 2% cashback when you invest in a Quilter Invest Stocks and Shares ISA. To be eligible for cashback invest a minimum of £1000 and keep it invested until June 29th 2026. Cashba...
of consent in Wiktionary, the free dictionary. Age of consent is the minimum age at which a person is considered to be legally competent to consent to
Hello, Je vais bientôt acheter une voiture, j'ai eu 4 voitures, la dernière en date c'était une W124 250D, magnifique mais qui correspond pas à mes critères lol, et avant ça une 320D, très sym...
In these expository notes, we describe some features of the multiplicative coalescent and its connection with random graphs and minimum spanning trees. We use Pitman's proof of Cayley's formula, which proceeds via a calculation of the partition funct...
Service supply chain management is to prepare spare parts for failed products under warranty. Their goal is to reach agreed service level at the minimum cost. We convert this business problem into a preference based multi-objective optimization probl...
EU OPS is a European Union (EU) regulations specifying minimum safety and related procedures for commercial passenger and cargo fixed-wing aviation. The
Every link is shown to be presentable as a boundary of an unknotted flat banded surface. A (flat) banded link is defined as a boundary of an unknotted (flat) banded surface. A link's (flat) band index is defined as the minimum number of bands require...
Sorting networks are oblivious sorting algorithms with many practical applications and rich theoretical properties. Propositional encodings of sorting networks are a key tool for proving concrete bounds on the minimum number of comparators or depth (...