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Bibliographic Details
Main Author:	Yue, Erfei
Format:	Preprint
Published:	2024
Subjects:	Combinatorics
Online Access:	https://arxiv.org/abs/2411.17192
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A Bollobáss-type theorem on singular linear spaces
by: Yue, Erfei, et al.
Published: (2024)

New results of Bollobás-type theorem for affine subspaces and projective subspaces
by: Yu, Shuhui, et al.
Published: (2025)

Variations on Bollobás systems of $d$-partitions
by: Fang, Yu, et al.
Published: (2024)

Subspace variations of the weighted skew Bollobás theorem
by: Wu, Yongjiang, et al.
Published: (2026)

Bollobás-type inequalities for subspaces via weight invariance
by: Liu, Zhiyi, et al.
Published: (2026)

Poset saturation of unions of chains
by: Ji, Shengjin, et al.
Published: (2025)

The maximum sum of the sizes of all intersections within $m$-size families
by: Huang, Sumin, et al.
Published: (2024)

On the structures of subset sums in higher dimension
by: Hegyvári, Norbert, et al.
Published: (2024)

Some results on minimum saturated graphs
by: Zhang, Chenke, et al.
Published: (2025)

The maximum size of the partial ground set of skew Bollobás systems
by: Fang, Yu, et al.
Published: (2026)

Helly-type theorems for separated $d$-intervals
by: Rao, Wei
Published: (2025)

A Bollobás-type problem: from root systems to Erdős-Ko-Rado
by: Browne, Patrick J., et al.
Published: (2024)

Bollobás-Meir TSP Conjecture Holds Asymptotically
by: Gordeev, Alexey
Published: (2026)

Bollobás-Erdős-Tuza conjecture for graphs with no induced $K_{s,t}$
by: Cheng, Xinbu, et al.
Published: (2024)

Bollobás-Nikiforov Conjecture for graphs with not so many triangles
by: Kumar, Hitesh, et al.
Published: (2024)

Analogues of Bermond-Bollobás Conjecture for Cages Yield Expander Families
by: Eze, Leonard Chidiebere, et al.
Published: (2024)

$k$-tuple domination on Kneser graphs
by: Cornet, María Gracia, et al.
Published: (2023)

Diophantine tuples and Integral Ideals of $\mathbb{Q}(\sqrt{d})$
by: Chakraborty, Kalyan, et al.
Published: (2025)

Bollobás-Nikiforov conjecture holds asymptotically almost surely
by: Liu, Chunmeng, et al.
Published: (2025)

Tensor product formulas for the Bollobás-Riordan and Krushkal polynomials
by: Moffatt, Iain, et al.
Published: (2025)

Winning Probabilities of Balanced and Nontransitive n-tuples of Dice
by: Rooney, Joshua
Published: (2025)

On the use of senders for asymmetric tuples of cliques in Ramsey theory
by: Boyadzhiyska, Simona, et al.
Published: (2022)

Bessenrodt--Ono inequalities for $\ell$-tuples of pairwise commuting permutations
by: Abdesselam, Abdelmalek, et al.
Published: (2024)

A Dirac-type theorem for uniform hypergraphs
by: Ma, Yue, et al.
Published: (2020)

The Bollobás--Nikiforov Conjecture for Complete Multipartite Graphs and Dense $K_4$-Free Graphs
by: Giacomelli, Piero
Published: (2026)

An Ore-type theorem for $[3]$-graphs
by: Li, Yupei, et al.
Published: (2025)

A refined lower bound theorem for $d$-polytopes with at most $2d$ vertices
by: Pineda-Villavicencio, Guillermo, et al.
Published: (2025)

On log-concavity of the number of orbits in commuting tuples of permutations
by: Tripathi, Raghavendra
Published: (2024)

On the Asymptotic Density of $k$-tuples of Positive Integers Satisfying Arbitrary GCD Conditions
by: Kuan, Chan Ieong
Published: (2025)

A bijection for tuples of commuting permutations and a log-concavity conjecture
by: Abdesselam, Abdelmalek, et al.
Published: (2023)

Log-concavity with respect to the number of orbits for infinite tuples of commuting permutations
by: Abdesselam, Abdelmalek
Published: (2023)

Brooks-type theorems for relaxations of square colorings
by: Cho, Eun-Kyung, et al.
Published: (2023)

Skirting the $n$-tuples
by: Adriaensen, Sam, et al.
Published: (2026)

$d$-Degree Erdős-Ko-Rado theorem for finite vector spaces
by: Shan, Yunjing, et al.
Published: (2024)

Roth-type theorems in additive combinatroics
by: Zhang, Weiwen
Published: (2025)

A central limit theorem for a generalization of the Ewens measure to random tuples of commuting permutations
by: Abdesselam, Abdelmalek, et al.
Published: (2025)

Weighted Turán theorems with applications to Ramsey-Turán type of problems
by: Balogh, József, et al.
Published: (2023)

Improved Ramsey-type theorems for Fibonacci numbers and other sequences
by: Wesley, William J.
Published: (2022)

A Sylvester-Gallai-type theorem for complex-representable matroids
by: Geelen, Jim, et al.
Published: (2022)

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// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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