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Main Authors:	Simonov, Kirill, Soheil, Farehe, Verma, Shaily
Format:	Preprint
Published:	2026
Subjects:	Data Structures and Algorithms Computational Complexity Discrete Mathematics
Online Access:	https://arxiv.org/abs/2603.21442
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(Independent) Roman Domination Parameterized by Distance to Cluster
by: Ashok, Pradeesha, et al.
Published: (2024)

Finding a Minimum Spanning Tree with a Small Non-Terminal Set
by: Hanaka, Tesshu, et al.
Published: (2023)

The Parameterized Complexity of Vertex-Coloring Edge-Weighting
by: Aute, Shubhada, et al.
Published: (2026)

Parameterized Complexity of Streaming Diameter and Connectivity Problems
by: Oostveen, Jelle J., et al.
Published: (2022)

Metric Dimension and Geodetic Set Parameterized by Vertex Cover
by: Foucaud, Florent, et al.
Published: (2024)

On Stable Cutsets in General and Minimum Degree Constrained Graphs
by: Vroon, Mats, et al.
Published: (2025)

Combinatorial Parameterized Algorithms for Chemical Descriptors based on Molecular Graph Sparsity
by: Conrado, Giovanna K., et al.
Published: (2023)

On the Constant-Factor Approximability of Minimum Cost Constraint Satisfaction Problems
by: DeHaan, Ian, et al.
Published: (2025)

Linear-Time MaxCut in Multigraphs Parameterized Above the Poljak-Turzík Bound
by: Lill, Jonas, et al.
Published: (2024)

The Parameterized Complexity of Independent Set and More when Excluding a Half-Graph, Co-Matching, or Matching
by: Dreier, Jan, et al.
Published: (2026)

Problems in NP can Admit Double-Exponential Lower Bounds when Parameterized by Treewidth or Vertex Cover
by: Foucaud, Florent, et al.
Published: (2023)

On the Parameterized Complexity of Grundy Domination and Zero Forcing Problems
by: Scheffler, Robert
Published: (2025)

Parameterized Complexity of (d,r)-Domination via Modular Decomposition
by: Cordasco, Gennaro, et al.
Published: (2024)

Distance Vector Domination
by: Cordasco, Gennaro, et al.
Published: (2024)

Parameterized Saga of First-Fit and Last-Fit Coloring
by: Agrawal, Akanksha, et al.
Published: (2024)

Finding $d$-Cuts in Probe $H$-Free Graphs
by: Dabrowski, Konrad K., et al.
Published: (2025)

Finding d-Cuts in Graphs of Bounded Diameter, Graphs of Bounded Radius and H-Free Graphs
by: Lucke, Felicia, et al.
Published: (2024)

Total Variation Distance Meets Probabilistic Inference
by: Bhattacharyya, Arnab, et al.
Published: (2023)

A Dichotomy for Maximum PCSPs on Graphs
by: Nakajima, Tamio-Vesa, et al.
Published: (2024)

A note on approximating the average degree of bounded arboricity graphs
by: Eden, Talya, et al.
Published: (2026)

A Polynomial Kernel for Face Cover on Non-Embedded Planar Graphs
by: Hamm, Thekla, et al.
Published: (2026)

A Strongly Polynomial-Time Algorithm for Weighted General Factors with Three Feasible Degrees
by: Shao, Shuai, et al.
Published: (2023)

Microscopic Structure of Random 3-SAT: A Discrete Geometric Approach to Phase Transitions and Algorithmic Complexity
by: Zhan, Yongjian
Published: (2026)

Flip Distance of Triangulations of Convex Polygons / Rotation Distance of Binary Trees is NP-complete
by: Dorfer, Joseph
Published: (2026)

Breadth-First Search Trees with Many or Few Leaves
by: Beisegel, Jesse, et al.
Published: (2026)

On the parameterized complexity of Broadcast Independence and Broadcast Packing
by: Dumont, Joanne, et al.
Published: (2026)

One Color Makes All the Difference in the Tractability of Partial Coloring in Semi-Streaming
by: Das, Avinandan
Published: (2026)

$O(n +f(k))$: Truly Linear FPT
by: Bumpus, Benjamin Merlin, et al.
Published: (2026)

Bipartite Exact Matching in P
by: Du, Yuefeng
Published: (2026)

Multi-Pass Streaming Lower Bounds for Approximating Max-Cut
by: Fei, Yumou, et al.
Published: (2025)

Relative-error unateness testing
by: Chen, Xi, et al.
Published: (2025)

Refining the Complexity Landscape of Speed Scaling: Hardness and Algorithms
by: Antoniadis, Antonios, et al.
Published: (2025)

Parameterised distance to local irregularity
by: Fioravantes, Foivos, et al.
Published: (2023)

Optimal PSPACE-hardness of Approximating Set Cover Reconfiguration
by: Hirahara, Shuichi, et al.
Published: (2024)

On Approximate Reconfigurability of Label Cover
by: Ohsaka, Naoto
Published: (2023)

Counting Locally Optimal Tours in the TSP
by: Manthey, Bodo, et al.
Published: (2024)

Relative-error testing of conjunctions and decision lists
by: Chen, Xi, et al.
Published: (2025)

Placing Green Bridges Optimally, with a Multivariate Analysis
by: Fluschnik, Till, et al.
Published: (2021)

Relative-error monotonicity testing
by: Chen, Xi, et al.
Published: (2024)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// 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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