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Newest 'infinite-combinatorics' Questions - MathOverflow
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https://xkcd.com/3015/
xkcd: D Combinatorics
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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...
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https://arxiv.org/list/math.CO/recent
Combinatorics
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https://mathoverflow.net/questions/506854/indecomposable-binary-relations
co.combinatorics - Indecomposable binary relations - MathOverflow
Let $X$ be a non-empty set. We say that a relation $R \subseteq (X \times X)$ is shrinkable to $A \subseteq X$ if there is an injection $f:X \to A$ with $(x,...
cobinaryrelationsmathoverflow
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 $\iota: X \to A$...
cotwodefinitionsbinaryrelations
https://mathoverflow.net/questions/tagged/infinite-combinatorics?tab=Week
Most active 'infinite-combinatorics' questions - MathOverflow
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https://arxiv.org/html/2604.21292v1
Large values in time series and additive combinatorics
time serieslargevaluesadditivecombinatorics
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...
what isabout thecomonoidmathoverflow
https://uwaterloo.ca/combinatorics-and-optimization/
Welcome to Combinatorics and Optimization | Combinatorics and Optimization | University of Waterloo
university of waterloowelcome tocombinatoricsoptimization
https://mathoverflow.net/questions/116382/tiling-a-rectangle-with-the-smallest-number-of-squares
co.combinatorics - tiling a rectangle with the smallest number of squares - MathOverflow
This is based on another thread. For $m,n\in \mathbb N$, let $f(m,n)$ be the minimum number of squares with integer sides needed to tile a $m\times n$...
cotilingrectanglesmallestnumber
https://gilkalai.wordpress.com/2026/04/03/polymath-plus-ai/
Polymath Plus AI | Combinatorics and more
This post was written together with Nissan Hajaj and Ido Kaminer. Update (April 5, 2026): The first project is launched here. AI and Math has become a hot...
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PhaseCAP: Phase Transitions in Combinatorics, Algorithms, Probability
Combinatorics, Algorithms, Probability
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https://math.stackexchange.com/questions/1819928/triangle-dissection-no-shared-edges
combinatorics - Triangle dissection, no shared edges - Mathematics Stack Exchange
It's possible to divide a triangle into smaller triangles such that no edge lengths are shared. Alternately, no two internal triangles share two vertices. The...
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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...
cographsomegamathoverflow
https://math.stackexchange.com/questions/5134249/proving-the-non-existence-of-a-specific-collection-of-equivalence-relations-on-a
combinatorics - Proving the non-existence of a specific collection of equivalence relations on an...
I am trying to find a proof for a conjecture that I have. The conjecture is as follows: Given a n-dimensional hypercube, $\{0,1\}^n$. Show that there exists no...
combinatoricsnonexistencespecificcollection
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https://mathoverflow.net/tags/infinite-combinatorics/synonyms
'infinite-combinatorics' Tag Synonyms - MathOverflow
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https://pdco2025.sciencesconf.org/
15th IEEE Workshop on Parallel / Distributed Combinatorics and Optimization - Sciencesconf.org
15thieeeworkshopparalleldistributed
https://www.imsc.res.in/~combinatorics/
Chennai Combinatorics Colloquium
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https://mathoverflow.net/questions/tagged/infinite-combinatorics?tab=Frequent
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https://www.tue.nl/en/research/research-groups/algebraic-combinatorics
Algebraic Combinatorics
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https://mathoverflow.net/questions/508328/is-there-a-natural-topology-on-the-set-of-d-fibers-of-a-graph
infinite combinatorics - Is there a natural topology on the set of d-fibers of a graph? -...
Jung and Niemeyer define an equivalence relation on the set of rays of an infinite graph where $T_p(X)$ is the set of vertices at a distance less or equal than...
on the setinfinitecombinatoricsnaturaltopology
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...
cotimessudokumathoverflow
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...
cofixedpointfreeshrinking
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https://math.stackexchange.com/questions/2041189/mondrian-art-problem-upper-bound-for-defect
combinatorics - Mondrian Art Problem Upper Bound for defect - Mathematics Stack Exchange
Divide a square of side $n$ into any number of non-congruent rectangles. If all the sides are integers, what is the smallest possible difference in area...
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https://gilkalai.wordpress.com/2025/11/21/ten-recent-questions-for-chatgpt/
Ten Recent Questions for ChatGPT | Combinatorics and more
I recently asked over Math Overflow about Examples for the use of AI and especially LLMs in notable mathematical developments, and there were several...
recent questionsand moretenchatgptcombinatorics
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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...
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https://www.academia.edu/Documents/in/Combinatorics
Combinatorics Research Papers - Academia.edu
View Combinatorics Research Papers on Academia.edu for free.
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https://mathoverflow.net/questions/508407/joshua-lederbergs-influence-on-graph-theory
co.combinatorics - Joshua Lederberg's influence on graph theory - MathOverflow
Joshua Lederberg received a the Nobel prize in medicine in 1958 and he was a major contributor to the Stanford DENDRAL software expert system that Given a mass...
graph theorycojoshuainfluencemathoverflow
https://www.gatech.edu/academics/degrees/phd/algorithms-combinatorics-and-optimization-phd
Algorithms, Combinatorics, and Optimization (Ph.D.)
Focus: furthering the study of discrete structures in the context of computer science, applied mathematics, and operations research.
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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...
cosimplepropertymathoverflow
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https://www.sfb050.risc.jku.at/
SFB F50 Algorithmic and Enumerative Combinatorics — SFB 050
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https://math.stackexchange.com/questions/5134684/given-20-distinct-positive-integers-not-greater-than-99-prove-or-disprove-that
combinatorics - Given 20 distinct positive integers not greater than 99, prove or disprove that...
Given 20 distinct positive integers not greater than 99. Show that among their pairwise differences, at least four are equal, or find the counterexample. So...
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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 $(i,j)$...
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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...
coharmonicnumbersum
https://arxiv.org/abs/2604.21292
[2604.21292] Large values in time series and additive combinatorics
Abstract page for arXiv paper 2604.21292: Large values in time series and additive combinatorics
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