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Bibliographic Details
Main Authors:	Fujii, Koichi, Matsui, Tomomi
Format:	Preprint
Published:	2024
Subjects:	Discrete Mathematics
Online Access:	https://arxiv.org/abs/2411.15463
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Strong odd colorings in graph classes of bounded expansion
by: Pilipczuk, Michał
Published: (2025)

Enumeration of minimal transversals of hypergraphs of bounded VC-dimension
by: Mary, Arnaud
Published: (2024)

Independent transversal blow-up of graphs
by: Dai, Tianjiao, et al.
Published: (2025)

The sandwich problem for odd-hole-free and even-hole-free graphs
by: Cameron, Kathie, et al.
Published: (2024)

Finding Minimal Clusters in st-DAGs
by: Vogl, Ulrich, et al.
Published: (2026)

Substitution discrete plane tilings with $2n$-fold rotational symmetry for odd n
by: Kari, Jarkko, et al.
Published: (2020)

On scheduling coupled tasks with exact delays to minimize maximum lateness
by: Kubiak, Wiesław
Published: (2026)

Odd-Cycle-Packing-treewidth: On the Maximum Independent Set problem in odd-minor-free graph classes
by: Choi, Mujin, et al.
Published: (2025)

Planar cycle-extendable graphs
by: Dalwadi, Aditya Y, et al.
Published: (2024)

Efficient Algorithms for Minimizing the Kirchhoff Index via Adding Edges
by: Zhou, Xiaotian, et al.
Published: (2025)

The Power of Amortization on Minimizing Total Completion Time with Explorable Uncertainty
by: Krekelberg, Bob, et al.
Published: (2025)

Extremal minimal bipartite matching covered graphs
by: Mallik, Amit Kumar, et al.
Published: (2024)

A first efficient algorithm for enumerating all the extreme points of a bisubmodular polyhedron
by: Matsui, Yasuko, et al.
Published: (2024)

Facial diagrams and cycle double cover
by: Ghanbari, Babak, et al.
Published: (2026)

Word-representability and comparability: Minimal forbidden induced subgraphs and cover number bounds
by: Kenkireth, Benny George, et al.
Published: (2025)

Erdős--Pósa property of cycles that are far apart
by: Dujmović, Vida, et al.
Published: (2024)

Redicolouring digraphs: directed treewidth and cycle-degeneracy
by: Nisse, Nicolas, et al.
Published: (2023)

Dividing sums of cycles in the semiring of functional digraphs
by: Bridoux, Florian, et al.
Published: (2025)

A polynomial bound for the minimal excluded minors for a surface
by: Houdaigoui, Sarah, et al.
Published: (2026)

On the existence of factors intersecting sets of cycles in regular graphs
by: Goedgebeur, Jan, et al.
Published: (2024)

Bounds on treewidth via excluding disjoint unions of cycles
by: Hatzel, Meike, et al.
Published: (2025)

Unavoidable butterfly minors in digraphs of large cycle rank
by: Hatzel, Meike, et al.
Published: (2025)

A quasi-polynomial bound for the minimal excluded minors for a surface
by: Houdaigoui, Sarah, et al.
Published: (2025)

Approximation Algorithms for Minimizing Congestion in Demand-Aware Networks
by: Dai, Wenkai, et al.
Published: (2024)

Separating the edges of a graph by cycles and by subdivisions of $K_4$
by: Botler, Fábio, et al.
Published: (2024)

Exact rainbow numbers of cycle-related graphs in multi-hubbed wheels
by: Dai, Mengyao, et al.
Published: (2025)

Enumerating Minimal Defensive Alliances
by: Feng, Zhidan, et al.
Published: (2023)

Note on the treewidth of graphs excluding a disjoint union of cycles as a minor
by: Joret, Gwenaël, et al.
Published: (2026)

Oriented discrepancy of Hamilton cycles in oriented graphs satisfying Ore-type condition
by: Ai, Jiangdong, et al.
Published: (2025)

Las Vegas algorithms to generate universal cycles and de Bruijn sequences uniformly at random
by: Sawada, Joe, et al.
Published: (2025)

Hamiltonian path and Hamiltonian cycle are solvable in polynomial time in graphs of bounded independence number
by: Jedličková, Nikola, et al.
Published: (2023)

Concatenation trees: A framework for efficient universal cycle and de Bruijn sequence constructions
by: Sawada, J., et al.
Published: (2023)

Chorded cycle facets of the clique partitioning polytope
by: Irmai, Jannik, et al.
Published: (2024)

Scheduling on identical machines with conflicts to minimize the mean flow time
by: Tellache, Nour ElHouda, et al.
Published: (2025)

Covering a Graph with Minimal Local Sets
by: Claudet, Nathan, et al.
Published: (2024)

Algorithmic methods of finite discrete structures. Hamiltonian cycle of a complete graph and the Traveling salesman problem
by: Kurapov, Sergey, et al.
Published: (2024)

A polynomial bound on the number of minimal separators and potential maximal cliques in $P_6$-free graphs of bounded clique number
by: Pilipczuk, Marcin, et al.
Published: (2023)

Automated Mathematical Discovery and Verification: Minimizing Pentagons in the Plane
by: Subercaseaux, Bernardo, et al.
Published: (2023)

The 27-qubit Counterexample to the LU-LC Conjecture is Minimal
by: Claudet, Nathan
Published: (2026)

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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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