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New Update: Warzone Free COD points Cheats 2024 No Human Verification ★★

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New Update: Warzone Free COD points Cheats 2024 No Human Verification

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Free Warframe Platinum Cheats Pro Apk 2024 (Android Ios) ★★

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Free Warframe Platinum Cheats Pro Apk 2024 (Android Ios)

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Which compact boundaryless 3-manifolds embed smoothly in the 4-sphere? ★★★

Author(s): Kirby

Problem   Determine a computable set of invariants that allow one to determine, given a compact boundaryless 3-manifold, whether or not it embeds smoothly in the 4-sphere. This should include a constructive procedure to find an embedding if the manifold is embeddable.

Keywords: 3-manifold; 4-sphere; embedding

Durer's Conjecture ★★★

Author(s): Durer; Shephard

Conjecture   Every convex polytope has a non-overlapping edge unfolding.

Keywords: folding; polytope

"New Cheats" Subway Surfers Coins Keys Cheats Free 2024 ★★

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"New Cheats" Subway Surfers Coins Keys Cheats Free 2024

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Bounding the chromatic number of triangle-free graphs with fixed maximum degree ★★

Author(s): Kostochka; Reed

Conjecture   A triangle-free graph with maximum degree $ \Delta $ has chromatic number at most $ \ceil{\frac{\Delta}{2}}+2 $.

Keywords: chromatic number; girth; maximum degree; triangle free

Acyclic list colouring of planar graphs. ★★★

Author(s): Borodin; Fon-Der-Flasss; Kostochka; Raspaud; Sopena

Conjecture   Every planar graph is acyclically 5-choosable.

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Ryser's conjecture ★★★

Author(s): Ryser

Conjecture   Let $ H $ be an $ r $-uniform $ r $-partite hypergraph. If $ \nu $ is the maximum number of pairwise disjoint edges in $ H $, and $ \tau $ is the size of the smallest set of vertices which meets every edge, then $ \tau \le (r-1) \nu $.

Keywords: hypergraph; matching; packing

My Singing Monsters Cheats Generator Android Ios 2024 Cheats Generator (re-designed) ★★

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My Singing Monsters Cheats Generator Android Ios 2024 Cheats Generator (re-designed)

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Free Real Racing 3 Cheats Generator 2024 (updated Generator) ★★

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Free Real Racing 3 Cheats Generator 2024 (updated Generator)

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KPZ Universality Conjectures ★★

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Conjecture  

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Partial List Coloring ★★★

Author(s): Albertson; Grossman; Haas

Conjecture   Let $ G $ be a simple graph with $ n $ vertices and list chromatic number $ \chi_\ell(G) $. Suppose that $ 0\leq t\leq \chi_\ell $ and each vertex of $ G $ is assigned a list of $ t $ colors. Then at least $ \frac{tn}{\chi_\ell(G)} $ vertices of $ G $ can be colored from these lists.

Keywords: list assignment; list coloring

The sum of the two largest eigenvalues (Solved) ★★

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The sum of the two largest eigenvalues (Solved)

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Fishing Clash Cheats Generator Free 2024 (New) ★★

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Fishing Clash Cheats Generator Free 2024 (New)

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Crossing numbers and coloring ★★★

Author(s): Albertson

We let $ cr(G) $ denote the crossing number of a graph $ G $.

Conjecture   Every graph $ G $ with $ \chi(G) \ge t $ satisfies $ cr(G) \ge cr(K_t) $.

Keywords: coloring; complete graph; crossing number

Good Edge Labelings ★★

Author(s): Araújo; Cohen; Giroire; Havet

Question   What is the maximum edge density of a graph which has a good edge labeling?

We say that a graph is good-edge-labeling critical, if it has no good edge labeling, but every proper subgraph has a good edge labeling.

Conjecture   For every $ c<4 $, there is only a finite number of good-edge-labeling critical graphs with average degree less than $ c $.

Keywords: good edge labeling, edge labeling

The three 4-flows conjecture ★★

Author(s): DeVos

Conjecture   For every graph $ G $ with no bridge, there exist three disjoint sets $ A_1,A_2,A_3 \subseteq E(G) $ with $ A_1 \cup A_2 \cup A_3 = E(G) $ so that $ G \setminus A_i $ has a nowhere-zero 4-flow for $ 1 \le i \le 3 $.

Keywords: nowhere-zero flow

4-connected graphs are not uniquely hamiltonian ★★

Author(s): Fleischner

Conjecture   Every $ 4 $-connected graph with a Hamilton cycle has a second Hamilton cycle.

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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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Unused Free Kim Kardashian Hollywood Cheats No Human Verification No Survey (2024 Method) ★★

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Unused Free Kim Kardashian Hollywood Cheats No Human Verification No Survey (2024 Method)

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Is there an algorithm to determine if a triangulated 4-manifold is combinatorially equivalent to the 4-sphere? ★★★

Author(s): Novikov

Problem   Is there an algorithm which takes as input a triangulated 4-manifold, and determines whether or not this manifold is combinatorially equivalent to the 4-sphere?

Keywords: 4-sphere; algorithm

Yu Gi Oh Duel Links Cheats Generator 2024 Real Working (new method) ★★

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Yu Gi Oh Duel Links Cheats Generator 2024 Real Working (new method)

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Turán's problem for hypergraphs ★★

Author(s): Turan

Conjecture   Every simple $ 3 $-uniform hypergraph on $ 3n $ vertices which contains no complete $ 3 $-uniform hypergraph on four vertices has at most $ \frac12 n^2(5n-3) $ hyperedges.
Conjecture   Every simple $ 3 $-uniform hypergraph on $ 2n $ vertices which contains no complete $ 3 $-uniform hypergraph on five vertices has at most $ n^2(n-1) $ hyperedges.

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Call Of Duty Mobile Generator Cheats No Human Verification (Without Surveys) ★★

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Call Of Duty Mobile Generator Cheats No Human Verification (Without Surveys)

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New World Of Tanks Blitz Free Gold Credits Cheats 2024 Tested (extra) ★★

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New World Of Tanks Blitz Free Gold Credits Cheats 2024 Tested (extra)

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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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eFootball 2023 Cheats Generator 2024 (WORKING IN 5 SECOND) ★★

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eFootball 2023 Cheats Generator 2024 (WORKING IN 5 SECOND)

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3-Decomposition Conjecture ★★

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3-Decomposition Conjecture

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Edge list coloring conjecture ★★★

Author(s):

Conjecture   Let $ G $ be a loopless multigraph. Then the edge chromatic number of $ G $ equals the list edge chromatic number of $ G $.

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Fasted Way! For Free Golf Battle Cheats Generator Working 2024 Android Ios ★★

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Fasted Way! For Free Golf Battle Cheats Generator Working 2024 Android Ios

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Star chromatic index of cubic graphs ★★

Author(s): Dvorak; Mohar; Samal

The star chromatic index $ \chi_s'(G) $ of a graph $ G $ is the minimum number of colors needed to properly color the edges of the graph so that no path or cycle of length four is bi-colored.

Question   Is it true that for every (sub)cubic graph $ G $, we have $ \chi_s'(G) \le 6 $?

Keywords: edge coloring; star coloring

Does the chromatic symmetric function distinguish between trees? ★★

Author(s): Stanley

Problem   Do there exist non-isomorphic trees which have the same chromatic symmetric function?

Keywords: chromatic polynomial; symmetric function; tree

Asymptotic Distribution of Form of Polyhedra ★★

Author(s): Rüdinger

Problem   Consider the set of all topologically inequivalent polyhedra with $ k $ edges. Define a form parameter for a polyhedron as $ \beta:= v/(k+2) $ where $ v $ is the number of vertices. What is the distribution of $ \beta $ for $ k \to \infty $?

Keywords: polyhedral graphs, distribution

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

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

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eFootball 2023 Cheats Generator Unlimited IOS Android No Survey 2024 (FREE METHOD) ★★

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eFootball 2023 Cheats Generator Unlimited IOS Android No Survey 2024 (FREE METHOD)

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Hungry Shark Evolution Cheats Generator 2024 Cheats Generator Tested On Android Ios (WORKING TIPS) ★★

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Hungry Shark Evolution Cheats Generator 2024 Cheats Generator Tested On Android Ios (WORKING TIPS)

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Euler-Mascheroni constant ★★★

Author(s):

Question   Is Euler-Mascheroni constant an transcendental number?

Keywords: constant; Euler; irrational; Mascheroni; rational; transcendental

Diophantine quintuple conjecture ★★

Author(s):

Definition   A set of m positive integers $ \{a_1, a_2, \dots, a_m\} $ is called a Diophantine $ m $-tuple if $ a_i\cdot a_j + 1 $ is a perfect square for all $ 1 \leq i < j \leq m $.
Conjecture  (1)   Diophantine quintuple does not exist.

It would follow from the following stronger conjecture [Da]:

Conjecture  (2)   If $ \{a, b, c, d\} $ is a Diophantine quadruple and $ d > \max \{a, b, c\} $, then $ d = a + b + c + 2bc + 2\sqrt{(ab+1)(ac+1)(bc+1)}. $

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Tarski's exponential function problem ★★

Author(s): Tarski

Conjecture   Is the theory of the real numbers with the exponential function decidable?

Keywords: Decidability

Decomposition of completions of reloids ★★

Author(s): Porton

Conjecture   For composable reloids $ f $ and $ g $ it holds
    \item $ \operatorname{Compl} ( g \circ f) = ( \operatorname{Compl} g) \circ f $ if $ f $ is a co-complete reloid; \item $ \operatorname{CoCompl} ( f \circ g) = f \circ \operatorname{CoCompl} g $ if $ f $ is a complete reloid; \item $ \operatorname{CoCompl} ( ( \operatorname{Compl} g) \circ f) = \operatorname{Compl} ( g \circ   ( \operatorname{CoCompl} f)) = ( \operatorname{Compl} g) \circ ( \operatorname{CoCompl} f) $; \item $ \operatorname{Compl} ( g \circ ( \operatorname{Compl} f)) = \operatorname{Compl} ( g \circ   f) $; \item $ \operatorname{CoCompl} ( ( \operatorname{CoCompl} g) \circ f) = \operatorname{CoCompl} ( g   \circ f) $.

Keywords: co-completion; completion; reloid

Chords of longest cycles ★★★

Author(s): Thomassen

Conjecture   If $ G $ is a 3-connected graph, every longest cycle in $ G $ has a chord.

Keywords: chord; connectivity; cycle

Graceful Tree Conjecture ★★★

Author(s):

Conjecture   All trees are graceful

Keywords: combinatorics; graceful labeling

Arc-disjoint out-branching and in-branching ★★

Author(s): Thomassen

Conjecture   There exists an integer $ k $ such that every $ k $-arc-strong digraph $ D $ with specified vertices $ u $ and $ v $ contains an out-branching rooted at $ u $ and an in-branching rooted at $ v $ which are arc-disjoint.

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Odd incongruent covering systems ★★★

Author(s): Erdos; Selfridge

Conjecture   There is no covering system whose moduli are odd, distinct, and greater than 1.

Keywords: covering system

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

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Family Island Cheats Generator Pro Apk (Android Ios)

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Lords Mobile Cheats Unlimited Gems Coins Generator (No Human Verification) ★★

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Lords Mobile Cheats Unlimited Gems Coins Generator (No Human Verification)

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3-Decomposition Conjectures ★★

Author(s):

Conjecture  

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Another conjecture about reloids and funcoids ★★

Author(s): Porton

Definition   $ \square f = \bigcap^{\mathsf{RLD}} \mathrm{up}^{\Gamma (\operatorname{Src} f ; \operatorname{Dst} f)} f $ for reloid $ f $.
Conjecture   $ (\mathsf{RLD})_{\Gamma} f = \square (\mathsf{RLD})_{\mathrm{in}} f $ for every funcoid $ f $.

Note: it is known that $ (\mathsf{RLD})_{\Gamma} f \ne \square (\mathsf{RLD})_{\mathrm{out}} f $ (see below mentioned online article).

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World of Warships Cheats Generator 2024 (generator!) ★★

Author(s):

World of Warships Cheats Generator 2024 (generator!)

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Monotone 4-term Arithmetic Progressions ★★

Author(s): Davis; Entringer; Graham; Simmons

Question   Is it true that every permutation of positive integers must contain monotone 4-term arithmetic progressions?

Keywords: monotone arithmetic progression; permutation