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Bibliographic Details
Main Author:	Haugland, Jan Kristian
Format:	Preprint
Published:	2025
Subjects:	Combinatorics 05C30 G.2.2
Online Access:	https://arxiv.org/abs/2503.08326
Tags:	Add Tag No Tags, Be the first to tag this record!

The number of rooted spanning forests of bicirculant graphs
by: Yang, Jing, et al.
Published: (2025)

Bounds on the genus for 2-cell embeddings of prefix-reversal graphs
by: Blanco, Saúl A., et al.
Published: (2023)

Counting big Ramsey degrees of the homogeneous and universal $K_4$-free graph
by: Hubička, Jan, et al.
Published: (2025)

On the number of generalized cospectral mates of graphs
by: Raza, Muhammad, et al.
Published: (2026)

A Proof of the Tree Packing Conjecture
by: Chalise, Parikshit, et al.
Published: (2024)

On the star b-chromatic number of a graph
by: Božović, Dragana, et al.
Published: (2025)

On problems in extremal multigraph theory
by: Falgas-Ravry, Victor, et al.
Published: (2025)

Independent Set Enumeration and Estimation of Related Constants of Grid Graphs and Their Variants
by: Liang, Kai
Published: (2025)

On non-planar, cycle-conformal graphs
by: Gorsky, Maximilian, et al.
Published: (2026)

A Fan-type condition for cycles in $1$-tough and $k$-connected $(P_2\cup kP_1)$-free graphs
by: Hu, Zhiquan, et al.
Published: (2024)

On the maximum number of edges of outer k-planar graphs
by: Pfister, Maximilian
Published: (2025)

Lollipops, dense cycles and chords
by: Dvořák, Zdeněk, et al.
Published: (2025)

Calculating the maximum number of maximum cliques for simple graphs
by: Pfeifer, Dániel
Published: (2023)

Boolean combinations of graphs
by: Adenwalla, Sarosh, et al.
Published: (2024)

Independent Set Enumeration in King Graphs by Tensor Network Contractions
by: Liang, Kai
Published: (2025)

Partitioning 2-edge-coloured bipartite graphs into monochromatic cycles
by: Benevides, Fabrício Siqueira, et al.
Published: (2024)

A note on transformations of edge colorings of chordless graphs and triangle-free graphs
by: Asratian, Armen
Published: (2024)

Tournament completions of bipartite tournaments and their augmented directed cycles
by: Wong, H. W. Willie
Published: (2024)

Construction of divisible design graphs using affine designs
by: Kabanov, Vladislav V.
Published: (2025)

Forbidden paths and cycles in the undirected underlying graph of a 2-quasi best match graph
by: Korchmaros, Annachiara
Published: (2024)

Equidistant dimension of Johnson and Kneser graphs
by: Kratica, Jozef, et al.
Published: (2024)

On graphs without four-vertex induced subgraphs
by: Cameron, Kathie, et al.
Published: (2025)

Hamiltonicity and structure of connected biclaw-free graphs
by: Pokrovskiy, Alexey, et al.
Published: (2025)

Burling graphs revisited, part II: Structure
by: Pournajafi, Pegah, et al.
Published: (2021)

A note on locating-dominating sets in twin-free graphs
by: Bousquet, Nicolas, et al.
Published: (2024)

Perfect codes in Cayley graphs of Hajós groups
by: Hafidh, Yusuf, et al.
Published: (2025)

Maximum number of edge colorings avoiding rainbow copies of $K_4$
by: Hàn, Hiêp, et al.
Published: (2025)

The spectral radius of $1$-planar graphs without complete subgraphs
by: Xu, Weilun, et al.
Published: (2025)

Effect of graph operations on graph associahedra
by: Gargantini, Ana, et al.
Published: (2024)

On the characterization of graphs with tree 3-spanners
by: Lin, Lan, et al.
Published: (2025)

The sufficient conditions for $k$-leaf-connected graphs in terms of several topological indices
by: Ma, Tingyan, et al.
Published: (2023)

Edge and mixed metric dimension of Johnson graphs
by: Kratica, Jozef, et al.
Published: (2024)

Notes on embedding trees in graphs with O(|T|)-sized covers
by: Pokrovskiy, Alexey
Published: (2024)

On the strength of connectedness of unions of random graphs
by: Bloznelis, Mindaugas
Published: (2026)

Graph covers and semi-covers: Who is stronger?
by: Kratochvil, Jan, et al.
Published: (2025)

On the spectral radius of unbalanced signed bipartite graphs
by: Conde, Cristian M., et al.
Published: (2024)

Prime vertex-minors of a prime graph
by: Kim, Donggyu, et al.
Published: (2022)

On the Weisfeiler-Leman dimension of circulant graphs
by: Wu, Yulai, et al.
Published: (2024)

On Grundy indices for complete geometric graphs
by: Lara, Dolores, et al.
Published: (2025)

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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