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Main Authors:	Bouthat, Ludovick, Tripathi, Raghavendra
Format:	Preprint
Published:	2025
Subjects:	Combinatorics Probability 05A05, 20B30, 05E18, 20B40, 60C05
Online Access:	https://arxiv.org/abs/2508.07463
Tags:	Add Tag No Tags, Be the first to tag this record!

The dual Burnside process
by: Feng, Ivan Z.
Published: (2025)

Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures
by: Cuenca, Cesar, et al.
Published: (2023)

Cumulants of threshold for Schensted row insertion into random tableaux
by: Marciniak, Mikołaj, et al.
Published: (2024)

Enumeration of tree-type diagrams assembled from oriented chains of edges
by: Khorunzhiy, O.
Published: (2022)

On the Terwilliger algebras of quasi-thin Schurian association schemes
by: Maleki, Roghayeh, et al.
Published: (2025)

Construction of directed strongly regular graphs via their orbit matrices and genetic algorithm
by: Crnković, Dean, et al.
Published: (2024)

q-Whittaker functions, finite fields, and Jordan forms
by: Karp, Steven N., et al.
Published: (2022)

New directed strongly regular graphs on 60 vertices
by: Crnkovic, Dean, et al.
Published: (2026)

The degree of functions in the Johnson and q-Johnson schemes
by: Kiermaier, Michael, et al.
Published: (2024)

Normalized matching property for competing urn models
by: Chan, Swee Hong
Published: (2025)

Biembeddings of Archdeacon type: their full automorphism group and their number
by: Costa, Simone
Published: (2022)

Determining Covering Array Numbers via Balanced Covering Arrays
by: Hiess, Irene, et al.
Published: (2025)

Counting $\mathbb F_q$-points of orbital varieties in ad-nilpotent ideals of type $A_n$
by: Bardestani, Mohammad, et al.
Published: (2025)

Graphical sequences and plane trees
by: Bassan, Michal, et al.
Published: (2024)

On a family of quasi-strongly regular Cayley graphs
by: Biswas, Sucharita, et al.
Published: (2024)

Homotopy Covers of Graphs
by: Chih, Tien, et al.
Published: (2020)

Cayley graphs with few automorphisms: the case of infinite groups
by: Leemann, Paul-Henry, et al.
Published: (2020)

On counting polygons in a crystal
by: Grimmett, Geoffrey R.
Published: (2026)

The permutation automorphism groups of irreducible cyclic codes
by: Feng, Tao, et al.
Published: (2026)

The distribution of the length of the longest path in random acyclic orientations of a complete bipartite graph
by: Khera, Jessica, et al.
Published: (2024)

Isoperimetric inequality for nonlocal bi-axial discrete perimeter
by: Jacquier, V., et al.
Published: (2024)

Partial permutations and character evaluations
by: Hamaker, Zachary, et al.
Published: (2025)

A Notion of Dimension based on Probability on Groups
by: Georgakopoulos, Agelos
Published: (2024)

Frame Numbers and Jacobson Radicals for Partial Geometries and Related Coherent Configurations
by: Shimabukuro, Osamu
Published: (2025)

Equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroids
by: Gao, Alice L. L., et al.
Published: (2025)

Deza Cayley graphs from difference sets
by: Ryabov, Grigory
Published: (2025)

Equivariant inverse $Z$-polynomials of matroids
by: Gao, Alice L. L., et al.
Published: (2026)

Covering Numbers of Some Irreducible Characters of the Symmetric Group
by: Kundu, Rijubrata, et al.
Published: (2024)

Top to random and reverse: analysis of a new descent algebra shuffle
by: Grinberg, Darij, et al.
Published: (2025)

Triangle-free graphs with the fewest independent sets
by: Buys, Pjotr, et al.
Published: (2025)

On Cayley representations of central Cayley graphs over almost simple groups
by: Guo, Jin, et al.
Published: (2021)

Sharp Uncertainty Principle for Transitive $G$-Sets over Arbitrary Fields and Finite Groups
by: Chen, Bocong, et al.
Published: (2022)

Relatively closed subgroups of permutation groups with a cyclic regular normal subgroup
by: Buturlakin, Alexander, et al.
Published: (2025)

Factor-of-iid Schreier decorations of lattices in Euclidean spaces
by: Bencs, Ferenc, et al.
Published: (2021)

The asymptotic rank of adjacency matrices of weighted configuration models over arbitrary fields
by: van der Hofstad, Remco, et al.
Published: (2025)

Total positivity of some polynomial matrices that enumerate labeled trees and forests. II. Rooted labeled trees and partial functional digraphs
by: Chen, Xi, et al.
Published: (2023)

Chiral maps of given hyperbolic type on $A_k$
by: Reade, Olivia
Published: (2024)

Sinaĭ excursions: An analogue of Sparre Andersen's formula for the area process of a random walk
by: Donderwinkel, Serte, et al.
Published: (2024)

Gessel-Type Expansion for the Circular $β$-Ensemble and Central Limit Theorem for the Sine-$β$ Process for $β\le 2$
by: Gorbunov, Sergei M.
Published: (2025)

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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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