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https://mathoverflow.net/questions/tagged/co.combinatorics?tab=newest&page=5&pagesize=15 Newest 'co.combinatorics' Questions - Page 5 - MathOverflow newest co combinatorics questions 5 mathoverflow https://mathoverflow.net/questions/510770/cycle-enclosing-origin-in-random-graph-defined-on-bf-z2 co.combinatorics - Cycle enclosing origin in random graph defined on ${\bf Z}^2$ - MathOverflow Define a graph on the vertex set ${\bf Z}^2$ as follows. Independently for each $(i,j)\in{\bf Z}^2$, flip a fair coin. If the coin is heads, connect $(i,j)$... co combinatorics z 2 cycle enclosing origin https://mathoverflow.net/questions/11753/cutting-a-rectangle-into-an-odd-number-of-congruent-non-rectangular-pieces co.combinatorics - Cutting a rectangle into an odd number of congruent non-rectangular pieces -... We are interested in tiling a rectangle with copies of a single tile (rotations and reflections are allowed). This is very easy to do, by cutting the rectangle... co combinatorics odd number non rectangular cutting rectangle https://mathoverflow.net/questions/496553/what-actually-is-the-right-way-to-view-the-analytic-continuation-of-the-bell-n co.combinatorics - What actually is the "right way" to view the analytic continuation of the Bell... Dobinski's Formula gives a curve which interpolates the Bell Numbers $$ B(x) = \frac{1}{e}\sum_{k=0}^{\infty} \frac{k^x}{k!} $$ This formula is rather elegant... co combinatorics right way analytic continuation actually view https://mathoverflow.net/questions/506749/mathbbq-times-mathbbq-sudoku co.combinatorics - $(\mathbb{Q}\times\mathbb{Q})$-sudoku - MathOverflow Is there a map $s: \mathbb{Q}\times\mathbb{Q} \to \mathbb{N}$ with the following properties? For all $z\in\mathbb{Z}$, the restriction $s|_{[z,z+1)\times... co combinatorics mathbb q times sudoku https://mathoverflow.net/questions/507181/are-complete-linear-ordered-sets-decomposable co.combinatorics - Are complete linear ordered sets decomposable? - MathOverflow The starting point of this question is bof's classification in this comment of indecomposable ordinals. In particular, every complete well-ordering on more... co combinatorics ordered sets complete linear mathoverflow https://mathoverflow.net/questions/510229/locate-dominant-singularities-of-implicitly-defined-algebraic-functions co.combinatorics - Locate dominant singularities of implicitly defined algebraic functions -... Let $f(z)$ be a branch of a polynomial $P(z,u)$, analytic at $z=0$. Consider the following method to establish if a given $\zeta$ in the border of the disk of... co combinatorics locate dominant singularities implicitly https://mathoverflow.net/questions/508601/fixed-point-free-shrinking-bijection co.combinatorics - Fixed-point free shrinking bijection - MathOverflow Let $J\subseteq {\cal P}(\omega)$ be the collection of infinite subsets whose complement is also infinite. Is there a fixed-point free bijection $\varphi:J\to... co combinatorics fixed point free shrinking bijection mathoverflow https://mathoverflow.net/questions/508659/a-simple-property-of-boundedness co.combinatorics - A "simple" property of boundedness - MathOverflow Here's the setup: Let $f: \mathbb{N}^2 \rightarrow \mathbb{N}$ be a function. Consider the family $\mathcal{D}$ of sets $D \subset \mathbb{N}$ such that $f|_{D... co combinatorics simple property mathoverflow https://mathoverflow.net/questions/76254/what-is-so-plactic-about-the-plactic-monoid co.combinatorics - What is so "plactic" about the plactic monoid? - MathOverflow The plactic monoid is the monoid consisting of all words from the alphabet $\mathbb{Z}^+$ modulo certain relations. It is important mainly because its elements... co combinatorics monoid mathoverflow https://mathoverflow.net/questions/510190/sociable-partitions-on-omega co.combinatorics - Sociable partitions on $\omega$ - MathOverflow Motivation. Football training starts again for my sons, which means the year has begun in earnest. Training often includes splitting the players into small... co combinatorics sociable partitions omega mathoverflow https://mathoverflow.net/questions/32986/how-fast-are-a-ruler-and-compass co.combinatorics - How fast are a ruler and compass? - MathOverflow This may be more of a recreational mathematics question than a research question, but I have wondered about it for a while. I hope it is not inappropriate for... co combinatorics fast ruler compass mathoverflow https://mathoverflow.net/questions/tagged/co.combinatorics Newest 'co.combinatorics' Questions - MathOverflow newest co combinatorics questions mathoverflow https://mathoverflow.net/questions/510561/two-definitions-of-indecomposability-for-binary-relations co.combinatorics - Two definitions of indecomposability for binary relations - MathOverflow Let $X$ be a set. If $A\subseteq X$ and $R\subseteq (X\times X)$, we say that the relation $R$ is shrinkable to $A$ if there is an injection $\iota: X \to A$... co combinatorics two definitions binary relations https://mathoverflow.net/questions/510403/expected-number-of-cuts-on-a-random-roll-of-2n-coins co.combinatorics - Expected number of cuts on a random roll of $2n$ coins - MathOverflow $2n$ coins labeled $1,1,2,2,\ldots,n,n$ are packed randomly into a roll $R$ with two coins exposed at the two ends. If a cut is performed in the middle, two... co combinatorics expected number cuts random https://mathoverflow.net/questions/510637/why-does-this-harmonic-number-sum-collapse-to-bigl2na-n-bnc-bigr co.combinatorics - Why does this harmonic-number sum collapse to... While experimenting with hypergeometric-style sums, I came across the following identity. For integers $a\ge 1$, $b\ge 0$, $c\ge a+b$, and all $n\ge 0$ (with... co combinatorics harmonic number sum collapse https://mathoverflow.net/questions/510242/pairwise-incompatible-connected-graphs-on-omega co.combinatorics - Pairwise incompatible connected graphs on $\omega$ - MathOverflow For any set $X$, let $[X]^2 = \big\{\{x,y\}: x\neq y \in X\big\}$. Is there an uncountable set ${\cal E} \subseteq {\cal P}([\omega]^2)$ with the following... co combinatorics pairwise incompatible connected graphs