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Warframe Free Platinum Cheats Free Generator 2024 in 5 minutes (successive cheats) ★★

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Warframe Free Platinum Cheats Free Generator 2024 in 5 minutes (successive cheats)

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Free Sims FreePlay Free Simoleons Life Points and Social Points Cheats 2024 (Safe) ★★

Author(s):

Free Sims FreePlay Free Simoleons Life Points and Social Points Cheats 2024 (Safe)

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House Of Fun Cheats Generator Free Unlimited Cheats Generator (new codes Generator) ★★

Author(s):

House Of Fun Cheats Generator Free Unlimited Cheats Generator (new codes Generator)

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Petersen coloring conjecture ★★★

Author(s): Jaeger

Conjecture   Let $ G $ be a cubic graph with no bridge. Then there is a coloring of the edges of $ G $ using the edges of the Petersen graph so that any three mutually adjacent edges of $ G $ map to three mutually adjancent edges in the Petersen graph.

Keywords: cubic; edge-coloring; Petersen graph

Gardenscapes Cheats Generator 2024 for Android iOS (updated Generator) ★★

Author(s):

Gardenscapes Cheats Generator 2024 for Android iOS (updated Generator)

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Generalised Empty Hexagon Conjecture ★★

Author(s): Wood

Conjecture   For each $ \ell\geq3 $ there is an integer $ f(\ell) $ such that every set of at least $ f(\ell) $ points in the plane contains $ \ell $ collinear points or an empty hexagon.

Keywords: empty hexagon

Shuffle-Exchange Conjecture ★★

Author(s):

Shuffle-Exchange Conjecture

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Odd-cycle transversal in triangle-free graphs ★★

Author(s): Erdos; Faudree; Pach; Spencer

Conjecture   If $ G $ is a simple triangle-free graph, then there is a set of at most $ n^2/25 $ edges whose deletion destroys every odd cycle.

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Free Clash of Clans Cheats Gems Generator 2023-2024 ★★

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Free Clash of Clans Cheats Gems Generator 2023-2024

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Geometry Dash Gold Coins Stars Cheats 2024 Update (FREE!!) ★★

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Geometry Dash Gold Coins Stars Cheats 2024 Update (FREE!!)

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Marvel Strike Force Cheats Generator Unlimited IOS And Android No Survey 2024 (free!!) ★★

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Marvel Strike Force Cheats Generator Unlimited IOS And Android No Survey 2024 (free!!)

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Raid Shadow Legends Cheats Generator 2024 (fresh strategy) ★★

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Raid Shadow Legends Cheats Generator 2024 (fresh strategy)

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Stable set meeting all longest directed paths. ★★

Author(s): Laborde; Payan; Xuong N.H.

Conjecture   Every digraph has a stable set meeting all longest directed paths

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A conjecture about direct product of funcoids ★★

Author(s): Porton

Conjecture   Let $ f_1 $ and $ f_2 $ are monovalued, entirely defined funcoids with $ \operatorname{Src}f_1=\operatorname{Src}f_2=A $. Then there exists a pointfree funcoid $ f_1 \times^{\left( D \right)} f_2 $ such that (for every filter $ x $ on $ A $) $$\left\langle f_1 \times^{\left( D \right)} f_2 \right\rangle x = \bigcup \left\{ \langle f_1\rangle X \times^{\mathsf{FCD}} \langle f_2\rangle X \hspace{1em} | \hspace{1em} X \in \mathrm{atoms}^{\mathfrak{A}} x \right\}.$$ (The join operation is taken on the lattice of filters with reversed order.)

A positive solution of this problem may open a way to prove that some funcoids-related categories are cartesian closed.

Keywords: category theory; general topology

Working Generator World Of Tanks Blitz Gold Credits Cheats Android Ios 2024 (HOT) ★★

Author(s):

Working Generator World Of Tanks Blitz Gold Credits Cheats Android Ios 2024 (HOT)

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Subgroup formed by elements of order dividing n ★★

Author(s): Frobenius

Conjecture  

Suppose $ G $ is a finite group, and $ n $ is a positive integer dividing $ |G| $. Suppose that $ G $ has exactly $ n $ solutions to $ x^{n} = 1 $. Does it follow that these solutions form a subgroup of $ G $?

Keywords: order, dividing

Jurassic Park Builder Cheats Generator 2024 No Human Verification (Real) ★★

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Jurassic Park Builder Cheats Generator 2024 No Human Verification (Real)

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Infinite distributivity of meet over join for a principal funcoid ★★

Author(s): Porton

Conjecture   $ f \sqcap \bigsqcup S = \bigsqcup \langle f \sqcap \rangle^{\ast} S $ for principal funcoid $ f $ and a set $ S $ of funcoids of appropriate sources and destinations.

Keywords: distributivity; principal funcoid

Simpsons Tapped Out Cheats Generator (New Working Cheats Generator 2024) ★★

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Simpsons Tapped Out Cheats Generator (New Working Cheats Generator 2024)

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Covering systems with big moduli ★★

Author(s): Erdos; Selfridge

Problem   Does for every integer $ N $ exist a covering system with all moduli distinct and at least equal to~$ N $?

Keywords: covering system

Toon Blast Cheats Generator 2024 (rejuvenated Generator) ★★

Author(s):

Toon Blast Cheats Generator 2024 (rejuvenated Generator)

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Bouchet's 6-flow conjecture ★★★

Author(s): Bouchet

Conjecture   Every bidirected graph with a nowhere-zero $ k $-flow for some $ k $, has a nowhere-zero $ 6 $-flow.

Keywords: bidirected graph; nowhere-zero flow

Rainbow Six Siege Cheats Generator Latest Version 2024 New Cheats Generator (Unique) ★★

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Rainbow Six Siege Cheats Generator Latest Version 2024 New Cheats Generator (Unique)

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Every prism over a 3-connected planar graph is hamiltonian. ★★

Author(s): Kaiser; Král; Rosenfeld; Ryjácek; Voss

Conjecture   If $ G $ is a $ 3 $-connected planar graph, then $ G\square K_2 $ has a Hamilton cycle.

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Fishing Clash Cheats Generator Free in 2024 (Premium For Free) ★★

Author(s):

Fishing Clash Cheats Generator Free in 2024 (Premium For Free)

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Graphs of exact colorings ★★

Author(s):

Conjecture For $  c \geq m \geq 1  $, let $  P(c,m)  $ be the statement that given any exact $  c  $-coloring of the edges of a complete countably infinite graph (that is, a coloring with $  c  $ colors all of which must be used at least once), there exists an exactly $  m  $-colored countably infinite complete subgraph. Then $  P(c,m)  $ is true if and only if $  m=1  $, $  m=2  $, or $  c=m  $.

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Fishing Clash Cheats Generator 2024 No Verification Android iOS (new method) ★★

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Fishing Clash Cheats Generator 2024 No Verification Android iOS (new method)

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Genshin Impact Cheats Generator 2024 Update (FREE) ★★

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Genshin Impact Cheats Generator 2024 Update (FREE)

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Hamiltonian cycles in line graphs of infinite graphs ★★

Author(s): Georgakopoulos

Conjecture  
    \item If $ G $ is a 4-edge-connected locally finite graph, then its line graph is hamiltonian. \item If the line graph $ L(G) $ of a locally finite graph $ G $ is 4-connected, then $ L(G) $ is hamiltonian.

Keywords: hamiltonian; infinite graph; line graphs

Hungry Shark World Cheats Generator IOS Android No Verification 2024 (fresh method) ★★

Author(s):

Hungry Shark World Cheats Generator IOS Android No Verification 2024 (fresh method)

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Hamilton cycle in small d-diregular graphs ★★

Author(s): Jackson

An directed graph is $ k $-diregular if every vertex has indegree and outdegree at least $ k $.

Conjecture   For $ d >2 $, every $ d $-diregular oriented graph on at most $ 4d+1 $ vertices has a Hamilton cycle.

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Latest Bingo Blitz Cheats Generator 999K Credits Free 2024 in 5 minutes (Up To) ★★

Author(s):

Latest Bingo Blitz Cheats Generator 999K Credits Free 2024 in 5 minutes (Up To)

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List Colourings of Complete Multipartite Graphs with 2 Big Parts ★★

Author(s): Allagan

Question   Given $ a,b\geq2 $, what is the smallest integer $ t\geq0 $ such that $ \chi_\ell(K_{a,b}+K_t)= \chi(K_{a,b}+K_t) $?

Keywords: complete bipartite graph; complete multipartite graph; list coloring

Dragon Ball Z Dokkan Battle Cheats Generator 2024 Update (FREE) ★★

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Dragon Ball Z Dokkan Battle Cheats Generator 2024 Update (FREE)

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Are there an infinite number of lucky primes?

Author(s): Lazarus: Gardiner: Metropolis; Ulam

Conjecture   If every second positive integer except 2 is remaining, then every third remaining integer except 3, then every fourth remaining integer etc. , an infinite number of the remaining integers are prime.

Keywords: lucky; prime; seive

Legal* Free Warzone Cheats COD points Generator No Human Verification 2024 ★★

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Legal* Free Warzone Cheats COD points Generator No Human Verification 2024

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Family Island Cheats Generator Pro Apk (Android Ios) ★★

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Family Island Cheats Generator Pro Apk (Android Ios)

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Square achievement game on an n x n grid ★★

Author(s): Erickson

Problem   Two players alternately write O's (first player) and X's (second player) in the unoccupied cells of an $ n \times n $ grid. The first player (if any) to occupy four cells at the vertices of a square with horizontal and vertical sides is the winner. What is the outcome of the game given optimal play? Note: Roland Bacher and Shalom Eliahou proved that every 15 x 15 binary matrix contains four equal entries (all 0's or all 1's) at the vertices of a square with horizontal and vertical sides. So the game must result in a winner (the first player) when n=15.

Keywords: game

The Erdos-Turan conjecture on additive bases ★★★★

Author(s): Erdos; Turan

Let $ B \subseteq {\mathbb N} $. The representation function $ r_B : {\mathbb N} \rightarrow {\mathbb N} $ for $ B $ is given by the rule $ r_B(k) = \#\{ (i,j) \in B \times B : i + j = k \} $. We call $ B $ an additive basis if $ r_B $ is never $ 0 $.

Conjecture   If $ B $ is an additive basis, then $ r_B $ is unbounded.

Keywords: additive basis; representation function

Marvel Strike Force Cheats Generator Android Ios 2024 Cheats Generator (HOT) ★★

Author(s):

Marvel Strike Force Cheats Generator Android Ios 2024 Cheats Generator (HOT)

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Melnikov's valency-variety problem

Author(s): Melnikov

Problem   The valency-variety $ w(G) $ of a graph $ G $ is the number of different degrees in $ G $. Is the chromatic number of any graph $ G $ with at least two vertices greater than $$\ceil{ \frac{\floor{w(G)/2}}{|V(G)| - w(G)} } ~ ?$$

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Fishdom Cheats Generator 2024 Edition Update (WORKS) ★★

Author(s):

Fishdom Cheats Generator 2024 Edition Update (WORKS)

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Working Dragon Ball Legends Cheats Generator Online (No Survey) ★★

Author(s):

Working Dragon Ball Legends Cheats Generator Online (No Survey)

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Decomposing k-arc-strong tournament into k spanning strong digraphs ★★

Author(s): Bang-Jensen; Yeo

Conjecture   Every k-arc-strong tournament decomposes into k spanning strong digraphs.

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House Of Fun Cheats Generator (iOS Android 2024) ★★

Author(s):

House Of Fun Cheats Generator (iOS Android 2024)

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New-mathod! Free Bloons TD Battles Energy Medal Money Cheats 2024 (No Human Verification) ★★

Author(s):

New-mathod! Free Bloons TD Battles Energy Medal Money Cheats 2024 (No Human Verification)

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Extremal $4$-Neighbour Bootstrap Percolation in the Hypercube ★★

Author(s): Morrison; Noel

Problem   Determine the smallest percolating set for the $ 4 $-neighbour bootstrap process in the hypercube.

Keywords: bootstrap percolation; extremal combinatorics; hypercube; percolation

Are there infinite number of Mersenne Primes? ★★★★

Author(s):

Conjecture   A Mersenne prime is a Mersenne number \[ M_n  = 2^p  - 1 \] that is prime.

Are there infinite number of Mersenne Primes?

Keywords: Mersenne number; Mersenne prime

Slice-ribbon problem ★★★★

Author(s): Fox

Conjecture   Given a knot in $ S^3 $ which is slice, is it a ribbon knot?

Keywords: cobordism; knot; ribbon; slice

Hungry Shark Evolution Cheats Generator 2024 Working (Generator) ★★

Author(s):

Hungry Shark Evolution Cheats Generator 2024 Working (Generator)

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